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When the asteroid hit the earth 65 million years ago, did the earth's gravity pull change? By how much?
The gravity of Earth did not change substantially.
The strength of gravity on Earth is about 9.8, but varies between 9.76 and 9.83 ms-2(due to Earth not being a perfect sphere)
This can be approximated from the mass of the Earth using $$g=GM_e/r_e^2$$
Where $M_e = 5.97219 imes 10^{24}kg$ and $r_e= 6371000m$.
The mass of the asteroid was about $10^{16}kg$ That changes the mass from $5.97219 imes 10^{24}$ to $5.97219001 imes 10^{24}$. It changes the gravity from 9.8 to 9.800000001
In other words. The change in gravity was utterly insignificant. You probably get a greater change in gravity by walking downstairs.
It is possible the gravity changed locally. Depending on what the asteroid was made of, and the details of what happened in the collision, you might end up with a lump of denser asteroidal material buried in the Earth's crust under the impact crater. That could produce a measurable (although not noticeable to a human) increase in gravity locally.
Get a Straight Answer
What is a "Sun Synchronous" orbit?
(b) Why are satellites launched from near the equator?
(1) Why don't its particles separate by weight?
(2) What accelerates the solar wind?
If you have a relevant question of your own, you can send it to
stargaze ["at" symbol] phy6.org
114. Why not use a heat shield going up?
ReplyThe reason you suggested yourself is pretty much what happens. Going up, it is the rocket engine which provides acceleration and energy. Because air resistance robs energy and is undesirable, the rocket deliberately rises vertically, to go though the denser atmosphere as quickly as possible. The vehicle gets most of its velocity, and almost all of the kinetic energy, at high altitudes where air density is too low to make a great difference. With the space shuttle "Columbia," even that might not have been enough: by the time it reached twice the velocity of sound, the atmosphere around it was still dense enough to rip a piece of foam insulation off its fuel tank, and it hit the orbiter with great force, breaking the heat shield. On coming down (with spacecraft which we want to come down undamaged), the atmosphere is the brake absorbing the energy. We need that air resistance, and the heating is a result of absorbed energy! The big concern that energy should not be absorbed too fast, otherwise the heat gets too intense and may melt the heat shield and everything else. That is why the space shuttle comes down at a low angle, trying to stay as long as possible in a layer with the right density: If the shuttle comes in too high, not enough energy is lost, if too low, too much. The density is also important in supporting the shuttle, which--like a kite--needs part of the resistance to help it from coming down too fast. 115. When and where can rainbows be seen?
Believe it or not this all has to do with rainbows. I had an argument with someone whom I told that I have never observed a rainbow except in the morning or evening. The Sun has to be low in the east or west, and the bow then appears on the opposite side of the sky. Never observed one in the northern sky. Could you help me out by answering these questions? ReplyActually, the problem you ask about is fully discussed on my page On the winter solstice, the noontime Sun will be 42 + 23.5 = 65.5 degrees from the zenith or 24.5 degrees from the horizon 116. The unusual rotation of the planet Venus
" Venus is the only planet that rotates clockwise. " Is the above statement true? And if so, why? Why would Venus rotate in the opposite direction of all the other planets? Reply"Why" is harder--I am not sure that anyone knows for sure. The sense in which all planets in our solar system (and the Sun) rotate is presumably the same as that of the cloud from which the solar system condensed. When that happened, presumably many fragments collided to create each planet, and some average behavior of those collisions produced the rotation. One might even speculate that Mercury and Venus, the ones closest to the Sun once had large outer gas envelopes, and the way these evaporated in the Sun's heat may have contributed to the loss of rotation. That, though, is just a guess. 117. Why not use nuclear power for spaceflight?
ReplyNice idea. However, to fly in space takes rocket thrust, not just energy. By Newton's laws, the forward momentum given to any rocket is always equal to the backward momentum given to the jet fired backwards. That momentum, in its turn, depends on two factors--how much mass is expelled by the jet, how many tons per second, and the speed with which it is expelled. Nuclear energy can supply the speed, but something must provide the expelled mass. You might think next that given some source of mass (say, a tank filled with water), plentiful nuclear energy would make it possible to eject it much faster. But how? Rocket engines work by converting heat into directed motion, in a very efficient way, but they already run about as hot as available materials can stand. Nuclear energy could provide more heat, but no rocket engine could stand it. Early in the space age a serious effort existed to build a nuclear rocket, getting its thrust by heating hydrogen with nuclear fission. A jet of hydrogen, coming from a rocket engine at a certain temperature, is much faster than a jet of burned rocket fuel, coming from a rocket engine at the same temperature. The reason is linked to the fact that hydrogen molecules are much lighter than those of any burned fuel. However, the rate at which rocket engines used in spaceflight supply energy is enormous--e.g. the shuttle's engines burn a ton of fuel or more each second. The stresses are enormous, and the risk of nuclear material and waste products of fission getting into the atmosphere was too great, and so the project ended. A visionary proposal of the 1950s proposed a "rocket" cabin with a strong flat plate on the bottom (oil would be sprayed on it for protection), and a trapdoor through which small nuclear bombs could be dropped, detonating some distance away and pushing the craft forward. On paper, it seemed feasible, but an actual nuclear test was deemed hazardous, sure to release contamination. The nuclear test-ban treaty of 1963 ended all efforts in this direction. 118. "Doesn't heat rise?"
I was really caught off guard with a question from the "peanut gallery." It was - " Doesn't heat rise? " I said that that is correct, and conversely cold would tend to remain near the ground. He further questioned - "If heat rises then why wouldn't it get hotter as you increase your altitude? I had no explanation. Can you help? ReplyThe answer below is tailored (I hope!) to the 3rd grade level, not an easy task. That heat arrives when sunlight hits the ground and warms it up. Think of what would happen if no way existed for removing it! The ground would get hotter and hotter--oceans, lakes and rivers would boil away, life would become impossible. Actually, we see rather little temperature change near the ground--just day-to-night fluctuations, and slow changes with weather and seasons. Such observations suggest that on the average, heat is removed just as fast as it is received. Where can it go? Only one place--outer space, the sky above! We know that anything that is warm shines in some sort of light ("radiates"). A lightbulb filament is hot enough to shine in visible light, but a hot teapot (say) also shines (radiates). Our eye cannot see such "infra-red" light, produced (at a much lower rate) by moderately warm objects, but a hand held close to the pot will sense the radiation, as heat streaming out. (Rattlesnakes have special sensors to detect infra-red (IR) light, helping them find warm blooded prey.) So at first sight, this appears to be a simple situation. The Sun shines on the ground and gives it heat, and the ground returns that heat to space as invisible infra-red radiation. But this simple process is made complicated by the so-called " greenhouse effect ." Air is relatively transparent, but some gases in it absorb and re-emit infra red very efficiently--water vapor, methane and increasingly, carbon dioxide, so called "greenhouse gases." Put a few drops of India ink in a glass of water, and it darkens appreciably with these gases, similarly, a little bit of those gases ABSORBS A LOT. By absorbing and re-emitting IR, they make the IR light bounce around, rather than letting it head straight to space. That makes it difficult for heat to escape, and keep the ground warm something similar happens in a gardener's greenhouse, enclosed by glass panes, which let sunlight in but absorb IR. Such random bouncing-around continues until the IR (some of it, anyway) reaches a layer so high that not enough air and water vapor are left to send it back, and then the radiation escapes to space. That layer is known as the "tropopause" and it is typically 8 miles up. This "greenhouse effect" would keep the air warm near the ground, even if our cars and power plants did not emit carbon dioxide (although those emissions make the effect more pronounced). The air then does a second thing to help getting rid of its heat: IT RISES. Air cools as it rises, because air pressure around it is lower, and an expanding gas cools (that is how air-conditioners work). But because this process is happening everywhere and all the time, the SURROUNDING air is already cooler than the air near the ground. As long at air is warmer than its surroundings, it keeps rising. If a chunk of air started out extra-warm, it may well STILL BE warmer than the air around it, even higher up, so it keeps rising. Ideally, it rises until it arrives near the tropopause, where it can get rid of its heat. After that, being cooler, it sinks down again and is replaced by more heated air from below. (Why does air pressure get lower as one rises? Because air near the ground is compressed by the weight of all the other air above it. If you rise about 5 kilometers--3 miles and a little bit more--half the air is below you, only half of it is above and contributes to the compression, and so, the pressure there is only half of what it was near the ground. Go up 5 more kilometers and the pressure is about half as much again--a quarter of what it is near the ground. That is where jetliners fly, and the low pressure is the reason their cabins are sealed and pressurized--also why climbers on Mt. Everest carry oxygen bottles). This process of cooling, rising and finally radiating heat away is very important. THAT IS THE REASON WE HAVE WEATHER! The whole weather process is driven by the heat of the Sun, and by the collection of processes by which the Earth returns heat to space. The above is very, very simplified, especially since it ignores humidity. Actual air also contains water vapor--water which was evaporated by the Sun and dissolved in the atmosphere, just as sugar dissolves in a cup of coffee. Since the Sun has provided heat energy for the evaporation, water vapor acts a bit like extra heat given to the air when the water is removed as rain, air gets that heat back and is warmed, which is what drives thunderstorms. More about all these in 119. Have any changes been observed on the Moon?
ReplyI once had an office on the same floor as a lady scientist, Winnifred Cameron, who very much wanted to find such changes. She used a special viewing device looking at two pictures of a region on the Moon, taken under similar conditions but at different times, flipping from one to the other and looking to see if anything changed. I don't think anything ever did. She was particularly interested in observations of a Russian named Kozyrev, who claimed to see glows. 120. Why isn't our atmosphere flung off by the Earth's rotation?
ReplyConcerning the atmosphere. the centrifugal force on the Earth's equator is just a fraction of 1% of gravity it makes the Earth slightly oval, but nothing falls off. The effect was found in the 1600s, when pendulum clocks accurate in Europe slowed down near the equator. Jupiter is bigger and rotates faster--so its equatorial flattening is larger, large enough to be evident in photos through the telescope. 121. Can kinetic energy be reconverted to work?and have a question. Is kinetic energy available to do work later? Reply
If however your car is of the new "hybrid" type with electric motors on the wheels (like the Toyota "Prius" or the Honda hybrid), by braking you connect the motors to the car's batteries. The motors act as generators and charge the batteries, turning your kinetic energy into chemical energy of the battery, which can be reused. If however you link the shuttle to a conducting tether, as was done once (with some problems), the motion of the tether across the Earth's magnetic field lines creates a voltage, which may be tapped, e.g. for charging batteries. See http://www.phy6.org/Education/wtether.html. The solution was a large flywheel, connected to the generator providing the current. When the current decreased, the generator acted as a motor (a bit like that of the hybrid car) and spun up a flywheel weighing a few tons. The next cycle, the flywheel provided most of the energy for generating the magnet's current, slowing down again only a little extra power was needed to make good friction losses. Thus the energy bounced back and forth between magnetic and kinetic. Someone pointed out to me that the way the flywheel rotated was carefully chosen. In case the flywheel's bearings somehow gave way, its rotation was such that it would roll through the wall of the building and out into the field--not in the opposite direction, which would have brought it into the crowded accelerator hall. 122. Does any location get the same number of sunshine hours per year?
Big question in our family recently!! ReplyA good question--and congratulations for having a family with such wide-ranging interests! Intuition seems to say "yes", but the challenge is to demonstrate it without any calculations. Below is one try. Certain approximations are necessary. You ignore the actual size of the Sun's disk--but count as "light" times when the center of the Sun is above the horizon and as "dark" times when it is below the horizon. Also we ignore the ellipticity of the Earth's orbit, which causes the speed of the Earth's motion around the Sun to vary, but assume that it moves at constant speed. (About that variation, see Skepl2A.htm . With those assumptions the Sun, too, seems to move with constant speed around the ecliptic over the course of the year. For the purpose of deriving average sunshine over the year, we can therefore replace it by an "average Sun" spread out evenly around the ecliptic. The question then becomes does this "average Sun" give equal hours of light and darkness to any point one Earth. Assume first that the Earth DOES NOT rotate, so that your position--Rome, Nome or Pennsylvania--does not move. Your view from that location is then determined by your horizon, which in turn is determined by the plane tangential to the surface of Earth wherever you stand. You can call this "the plane of the horizon." Anything above that plane--exactly half the celestial sphere--is visible, anything below it is not. (It may be useful for you at this point to fetch paper and pen.) The plane of the horizon cuts the plane of the ecliptic along SOME line of intersection, passing through wherever YOU are standing. In the plane of the ecliptic, the "average Sun" is a circle around your position, and any line through its center (=your place) is a diameter. This includes the above line of intersection. That line therefore cuts the "average Sun" into two equal halves--one above the horizon (which you see), the other below the horizon (which you don't see). Over the year the Sun occupies equally every little bit of the circle. So half the time you see it, half you don't. 123. Speed of toy car rolling off an inclined ramp
ReplyYou are up against something very fundamental, something I hope you will remember in high school, when you study physics. Every object has a WEIGHT, the force by which gravity pulls it down. A big stone has more weight than a small one. Weight is one way of measuring the amount of material in the stone, or its "mass." A big stone has much more mass than a small one. However, if you drop them together, you will find that they fall equally fast!! This is, because each object also resists motion, and the resistance (called "inertia") is ALSO proportional to mass. That is why on a horizontal surface it takes much more force to get a bowling ball rolling than a tennis ball. The motion is horizontal, gravity is not too much involved, but the bowling ball has more mass and therefore much more resistance to being set in motion. Say the big stone has 10 times the mass of the small one. It also has 10 times the inertia, and that inertia does not allow it to move any faster, even when the Earth pulls it down 10 times as strongly. Model cars on a ramp (I suppose they are moved by gravity, like soap-box racers) obey the same rules. A heavy car is pulled more strongly, but also has more inertia, so the two should roll at the same speed. Try it! Put two toy cars--big and small--together on a slanting board, and let go. All other things being equal, they should move together. 124. Acceleration due to gravity
9.8 m/sec^2, but the class was asked to find a website that listed values of acceleration due to gravity at different locations on the Earth including acceleration due to gravity at our high school, Clarion-Limestone High School in Strattanville, PA. My question is: What are values of acceleration due to gravity at different locations on Earth and what is the value closest to my school? If you could help me out because I am really interested in finding out the answer, I would be greatly appreciative. ReplyHave you just tried to ask Google or Yahoo for links concerned with "Acceleration of Free Fall"? I did so and got many leads I am not really supposed to do your work--but look at http://www.haverford.edu/educ/knight-booklet/accelarator.htm Actually, the interesting questions are not "what is the number" but "why does gravity vary from place to place?" and "how do we know?" It varies because the Earth rotates, adding a centrifugal force to the forces felt locally. That does two things: it makes the Earth bulge at the equator, so that points there are more distant from the center of Earth. And it adds there a force opposing gravity, so that the acceleration is smaller. Newton proposed that around 1690. The process was experimentally studied by comparing the time kept by pendulum clocks ("grandfather clocks") at different locations. The period of the pendulum depends on gravity, and a clock which keeps correct time in Pennsylvania will probably run slow at the equator. ResponseThank you for the additional information on gravity. I actually did look at Google acceleration due to gravity but I guess I didn't look fully enough. Is gravity faster than light?I've been wondering this for a while. I have read some science fiction stories where it is, and allows for instant communication over intra-system distances. I did a quick google search to see if it had been resolved, and only got more confusion. From what I can see, nobody has done a real test due to technological limitations. Newtonian mechanics says gravity is instant, but general relativity says not so much. So, is there information out there I missed? It seems like an interesting question. According to general relativity, gravity travels at c, not faster. If one does a simplistic mathematical simulation of, say, the Earth's orbit around the Sun where the speed of gravity is c, it is true that the results to not correspond to reality (the Earth sling-shots off into wild black yonder) . However, a closer examination of general relativity reveal other factors that, when taken into account, do lead to results that reflect reality. I've wondered this myself. If you put 2 masses a distance apart into an otherwise empty universe, when do they start moving towards one another? Since we haven't yet found a way to turn gravity on and off, there isn't really any way to test this. GR says gravity travels at the speed of light (that the speeds are equal is implicit in the theory). So, if the Sun were to disappear, the Earth would continue to orbit for another 8 minutes. There has been at least one recent direct test of the speed of gravity, based upon the light from a quasar as Jupiter passed in front of it. The results indicate the speed of gravity is within 20% of the speed of light the speeds are consistent given the precision of the experiment. One news account can be found here. Other direct tests include gravitational wave detectors, which have not yet detected a signal (but are only now reaching sensitivities that may allow a signal to be detected). There is an experiment in place to determine if the predictions of GR are in fact true - LIGO. Basically, it's a gravity interferometer. There's a detector in LA, and one in WA. The idea is that they will be able to detect gravity waves from massive emitters (say, two neutron starts rapidly rotating around a common gravity point), and then determine the speed. Currently, according to GR, the theory is that gravity waves will travel at the speed of light. So, if your large planet is destroyed by, say, a Death Star, the moons will not leave the area until the effects of this mass being gone reach them. For our moon, it would be about 3 seconds. Google LIGO for specifics on the best bet AFAIK of detecting gravity waves anytime soon. I think it's Large Interferometry Gravity Observatory, but I could be REALLY wrong. -- View image here: https://cdn.arstechnica.net/forum/smilies/biggrin.gif -- EDIT: The L is for "laser," but in my defense, it IS rather large. -- View image here: http://episteme.arstechnica.com/groupee_common/emoticons/icon_wink.gif -- Assuming, of course, that the planet is turned into energy and not merely reduced to its constituent atoms. Assuming, of course, that the planet is turned into energy and not merely reduced to its constituent atoms. Eh? Unless the constituent atoms of the planet somehow held themselves together after the planet was blown up, the moon would drift away from it's current orbit even if the planet's mass wasn't turned to energy According to general relativity, gravity 'travels' at the speed of light. As far as LIGO goes, it's not so much a method of testing GR. Everybody believes GR, and specific predictions of GR have been verified to extremely high accuracy. Studying gravitational waves, (I did a research internship at the Washington LIGO site last summer) is more about have another source of information about astrophysical events. It would be a big deal to detect a gravitational wave as it's extremely hard and no one has accomplished it yet, but most people generally think that at least one event will be detected in the next few years. Gravitational wave astronomy, while a long way off from becoming a major tool, would allow us to get information that we can't get from radio astronomy, such as things that go on in the interior of stellar bodies. And being able to detect the wave/particles involved would help close up some giant holes in particle physics, right? Half the time that's all the news talks about. You're thinking of gravitons, the postulated massless particle which is the carrier of the gravitational force. LIGO is not setting out to detect gravitons, but gravity waves, which is predicted by general relativity. Gravitons do not exist within the framework of general relativity. Gravitons are also essentially impossible to detect individually. Well, photons are what makes up electromagnetic waves, and these are detectable individually as well as in waves. So I'm just extrapolating, without claim to know much about the state of experimentation here. Edit: that nonsense about a detector the size of Jupiter is fascinating. So these things (if they exist) interact with all matter in the universe, but cannot be detected? I guess photons are easy because we can tweak one emitter and receiver at a time: the atom. Photons are easy because the EM coupling constant is large compared to gravity. If gravity is a wave, space-time is like a very, very stiff spring -- the "spring constants" of ordinary matter are fantastically small by comparison. You can think of this much like an index of refraction difference. In that case, trying to detect the interaction of gravity waves with matter as trying to detect EM waves by looking at the scatter off of a vacuum/air interface, only the index contrast is still 3-4 orders of magnitude less. So, we are lucky that it looks like we can detect gravity waves, which are coherent excitations of many gravitons, but direct detection of a single graviton looks essentially impossible. I think your calculation is a bit off. Moon distance: 238,863 mi /actually, I just wanted to post in the new forum! I didn't notice it until today. This strays a bit from the topic at hand, but I can't resist. Said constituent atoms would, for the most part, fall back together. Using the Earth as an example, anything that didn't get ejected at roughly Mach 23 (IIRC) would be sub-escape velocity, and would collapse back towards the center of gravity. For any reasonable weapon, some miniscule percentage of the planet's mass would be converted into energy (perhaps this explains the ring of light that all massive explosions apparently produce?), and the gravity of the system would be reduced by that amount ( c being notably higher than escape velocity under 1 g). Some mass would possibly be blown out of the system with sufficient velocity to escape the gravity well (of the planet, at least, though quite possibly not of the primary). But most of the mass would recollapse into almost as massive an object as was there initially, since it's got nothing better to do. Obviously, one can theorize that enough energy is deposited into the planet to accelerate every bit of it up to escape velocity, in which case you'd most likely end up with a new (sparse) asteroid belt. But it seems wildly unlikely that you'd design a weapon to do that. After all, you can effectively destroy the planet just by depositing enough energy to shatter it - even when it recollapses into a spherical body of pretty much the same mass as the original planet, it's not like it's going to be habitable. And even that would be sufficient overkill to make any political/military statement you'd care to, since that would already be vastly more than necessary just to kill everyone on the planet. I think your calculation is a bit off. Moon distance: 238,863 mi /actually, I just wanted to post in the new forum! I didn't notice it until today. Well, uh, I meant round trip? -- View image here: http://episteme.arstechnica.com/groupee_common/emoticons/icon_smile.gif -- If I was gravity, I would have stopped along the way for a few seconds to take some pictures. The view up there would be amazing. I'm just saying. 20% of the speed of light the speeds are consistent given the precision of the experiment. One news account can be found here. I've read the news account, and I'm still slightly baffled by how this experiment worked. Can someone explain it in more detail? Since it's the only(?) concrete test of the speed of gravity yet performed, it's quite important. Of course, it will be overshadowed by LIGO - when that's working . There's an explanation on the linked MSNBC article, but I don't fully get it: Jupiter moves across the field and distorts the apparent position of a distant quasar. Fine - Jupiter's gravitational field bends the radio waves from the quasar. And they measure the distortion from multiple points far apart on the Earth's surface, using the VLBA. Then the article says (and I freely admit to losing the plot at this point): "If the speed of gravitational propagation were infinite, the apparent position of the quasar should have moved in a perfect circle due to the bending of the radio waves, Kopeikin said. Instead, it inscribed an offset ellipse, shaped roughly as would be expected if the speed of gravity and the speed of light were equal." Q: What would it be like if another planet just barely missed colliding with the Earth?Physicist: There’s a long history of big things in the solar system slamming into each other. Recently (the last 4.5 billion years or so) there haven’t been a lot of planetary collisions, but there are still lots of “minor” collisions like the Chicxulub asteroid 65 million years ago that caused that whole kerfuffle (65,000,000 years is practically this morning compared to the age of the solar system), or comet Shoemaker Levy 9 which uglied up Jupiter back in 1994. Jupiter after a run-in with Shoemaker Levy 9. Each of those black clouds on the lower right is caused by the impact of a different chunk of the same comet, and each is bigger than Earth. So while planets slamming or nearly slamming into each other isn’t a serious concern today, it was at one time. Of course, in solar systems where this is still a serious concern, there’s unlikely to be anything alive to do the concerning. For the sake of this post, let’s say there’s another planet, “Htrae”, that is the same size and approximate composition of Earth (but possibly populated entirely with evil goatee-having doppelgangers with reversed names). A direct impact, or even a glancing impact, is more or less what you might expect: you start with two planets and end with lots of hot dust. We’re used to impacts that dent or punch through the crust of the Earth, but really big impacts treat both planets like water droplets. Rather than crushing together like lumps of clay, Earth and Htrae would “splash” off of each other. A direct impact of two like-masses tends to destroy them both. A glancing, well-off-center, impact will “stir” both planets, leaving no none of the original surface on either. A glancing impact like this is the best modern theory of the origin of the Moon. If Htrae were to fall out of the sky, it would probably hit the Earth with a speed that’s on the same scale as Earth’s escape velocity: 11 km/s (Probably more). The time between when Htrae appears to be about the same size as the Sun or Moon, to when it physically hits the surface, would be a couple of weeks (give or take a lot). The time between hitting the top of the atmosphere and hitting the bottom would be a few seconds. If you were around, you would see Htrae spanning from one horizon to the other. A few moments before impact the collective atmospheres of both planets would glow brightly as they are suddenly compressed. It’s more likely that in those last few seconds/moments you would be vaporized from a distance by the heat and light released by the impact, and less likely that you would be crushed. People on the far side of Earth wouldn’t fare much better. They’d get very little warning, and would have to suddenly deal with the ground, and everything on it, suddenly being given a kick from below big enough to go flying into space. Generally speaking, being slapped by the ground so hard that you find yourself in deep space a few minutes later is seriously fatal. A near miss is a lot less flashy, but you really wouldn’t want to be around for that either. When you’re between two equal masses, you’re pulled equally by both. You may be standing on the surface of Earth, but most of it is still a long way away (about 4,000 miles on average). So if Htrae’s surface was within spitting distance, then you’d be about 4,000 miles from most of it as well. Nothing on the surface of Earth has any special “Earth-gravity-solidarity”, so if you were “lucky” enough to be standing right under Htrae as it passed overhead, you’d find yourself in nearly zero gravity. Earth and Htrae have an extremely near miss. Which way does the gravity between them point? Of course, there’s nothing special about stuff that’s on the surface either. The surface itself would also start floating around, and the local atmosphere would certainly take the opportunity to wander off. On a large scale this is described by the planets being well within each others’ Roche limit, which means that they literally just kinda fall apart. It’s not just that the region between the planets is in free fall, it’s that halfway around the worlds gravity will suddenly be pointing sideways quite a bit. So, what does a land-slide the size of a planet look like? From a distance it’s likely to be amazing, but you’re gonna want that distance to be pretty big. Even a near miss, with the planets never quite coming into contact, does a colossal amount of damage. There would be a cloud of debris between and orbiting around both planets (or rather around both “roiling molten masses”) as well as long streamers of what used to be ocean, crust, and mantle extending between them as they move apart. This has never been seen on a planetary scale, since all the things doing the impacting these days barely have their own gravity. The highest vertical leap on a comet would be infinity (if anyone were to try). But the news gets worse. Unless both planets have a good reason to be really screaming past each other (maybe they were counter-orbiting or Htrae fell inward from the outer solar system or something), a near miss is usually just a preamble for a direct impact. All of the damage and scrambling that Earth and Htrae did do each other took energy. That energy is taken mostly from the kinetic energy, so after a near miss the average speed of the two planets would be less than it was before. And that means that the planets often can’t escape from each other (at least not forever). In fact, this is why Shoemaker Levy 9 impacted Jupiter a dozen times instead of all at once. Before impacting, the comet had passed within Jupiter’s Roche limit (probably several times), been pulled into a streamer of rocks, and slowed down. Get a Straight Answer (1) Why don't its particles separate by weight? Science Fair Project on the Size of the Earth If you have a relevant question of your own, you can send it to audavstern("at" symbol)erols.com 114. Why not use a heat shield going up?
ReplyGoing up, it is the rocket engine which provides acceleration and energy. Because air resistance robs energy and is undesirable, the rocket deliberately rises vertically, to go though the denser atmosphere as quickly as possible. The vehicle gets most of its velocity, and almost all of the kinetic energy, at high altitudes where air density is too low to make a great difference. With the space shuttle "Columbia," even that might not have been enough: by the time it reached twice the velocity of sound, the atmosphere around it was still dense enough to rip a piece of foam insulation off its fuel tank, and it hit the orbiter with great force, breaking the heat shield. On coming down (with spacecraft which we want to come down undamaged), the atmosphere is the brake absorbing the energy. We need that air resistance, and the heating is a result of absorbed energy! The big concern that energy should not be absorbed too fast, otherwise the heat gets too intense and may melt the heat shield and everything else. That is why the space shuttle comes down at a low angle, trying to stay as long as possible in a layer with the right density: If the shuttle comes in too high, not enough energy is lost, if too low, too much. The density is also important in supporting the shuttle, which--like a kite--needs part of the resistance to help it from coming down too fast. 115. When and where can rainbows be seen?
Believe it or not this all has to do with rainbows. I had an argument with someone whom I told that I have never observed a rainbow except in the morning or evening. The Sun has to be low in the east or west, and the bow then appears on the opposite side of the sky. Never observed one in the northern sky. Could you help me out by answering these questions? ReplyOn the winter solstice, the noontime Sun will be 42 + 23.5 = 65.5 degrees from the zenith or 24.5 degrees from the horizon 116. The unusual rotation of the planet Venus
" Venus is the only planet that rotates clockwise. " Is the above statement true? And if so, why? Why would Venus rotate in the opposite direction of all the other planets? Reply
"Why" is harder--I am not sure that anyone knows for sure. The sense in which all planets in our solar system (and the Sun) rotate is presumably the same as that of the cloud from which the solar system condensed. When that happened, presumably many fragments collided to create each planet, and some average behavior of those collisions produced the rotation. One might even speculate that Mercury and Venus, the ones closest to the Sun once had large outer gas envelopes, and the way these evaporated in the Sun's heat may have contributed to the loss of rotation. That, though, is just a guess. 117. Why not use nuclear power for spaceflight?
ReplyBy Newton's laws, the forward momentum given to any rocket is always equal to the backward momentum given to the jet fired backwards. That momentum, in its turn, depends on two factors--how much mass is expelled by the jet, how many tons per second, and the speed with which it is expelled. Nuclear energy can supply the speed, but something must provide the expelled mass. You might think next that given some source of mass (say, a tank filled with water), plentiful nuclear energy would make it possible to eject it much faster. But how? Rocket engines work by converting heat into directed motion, in a very efficient way, but they already run about as hot as available materials can stand. Nuclear energy could provide more heat, but no rocket engine could stand it. Early in the space age a serious effort existed to build a nuclear rocket, getting its thrust by heating hydrogen with nuclear fission. A jet of hydrogen, coming from a rocket engine at a certain temperature, is much faster than a jet of burned rocket fuel, coming from a rocket engine at the same temperature. The reason is linked to the fact that hydrogen molecules are much lighter than those of any burned fuel. However, the rate at which rocket engines used in spaceflight supply energy is enormous--e.g. the shuttle's engines burn a ton of fuel or more each second. The stresses are enormous, and the risk of nuclear material and waste products of fission getting into the atmosphere was too great, and so the project ended. A visionary proposal of the 1950s proposed a "rocket" cabin with a strong flat plate on the bottom (oil would be sprayed on it for protection), and a trapdoor through which small nuclear bombs could be dropped, detonating some distance away and pushing the craft forward. On paper, it seemed feasible, but an actual nuclear test was deemed hazardous, sure to release contamination. The nuclear test-ban treaty of 1963 ended all efforts in this direction. 118. "Doesn't heat rise?"
I was really caught off guard with a question from the "peanut gallery." It was - " Doesn't heat rise? " I said that that is correct, and conversely cold would tend to remain near the ground. He further questioned - "If heat rises then why wouldn't it get hotter as you increase your altitude? I had no explanation. Can you help? ReplyThat heat arrives when sunlight hits the ground and warms it up. Think of what would happen if no way existed for removing it! The ground would get hotter and hotter--oceans, lakes and rivers would boil away, life would become impossible. Actually, we see rather little temperature change near the ground--just day-to-night fluctuations, and slow changes with weather and seasons. Such observations suggest that on the average, heat is removed just as fast as it is received. Where can it go? Only one place--outer space, the sky above! We know that anything that is warm shines in some sort of light ("radiates"). A lightbulb filament is hot enough to shine in visible light, but a hot teapot (say) also shines (radiates). Our eye cannot see such "infra-red" light, produced (at a much lower rate) by moderately warm objects, but a hand held close to the pot will sense the radiation, as heat streaming out. (Rattlesnakes have special sensors to detect infra-red (IR) light, helping them find warm blooded prey.) So at first sight, this appears to be a simple situation. The Sun shines on the ground and gives it heat, and the ground returns that heat to space as invisible infra-red radiation. But this simple process is made complicated by the so-called " greenhouse effect ." Air is relatively transparent, but some gases in it absorb and re-emit infra red very efficiently--water vapor, methane and increasingly, carbon dioxide, so called "greenhouse gases." Put a few drops of India ink in a glass of water, and it darkens appreciably with these gases, similarly, a little bit of those gases ABSORBS A LOT. By absorbing and re-emitting IR, they make the IR light bounce around, rather than letting it head straight to space. That makes it difficult for heat to escape, and keep the ground warm something similar happens in a gardener's greenhouse, enclosed by glass panes, which let sunlight in but absorb IR. Such random bouncing-around continues until the IR (some of it, anyway) reaches a layer so high that not enough air and water vapor are left to send it back, and then the radiation escapes to space. That layer is known as the "tropopause" and it is typically 8 miles up. This "greenhouse effect" would keep the air warm near the ground, even if our cars and power plants did not emit carbon dioxide (although those emissions make the effect more pronounced). The air then does a second thing to help getting rid of its heat: IT RISES. Air cools as it rises, because air pressure around it is lower, and an expanding gas cools (that is how air-conditioners work). But because this process is happening everywhere and all the time, the SURROUNDING air is already cooler than the air near the ground. As long at air is warmer than its surroundings, it keeps rising. If a chunk of air started out extra-warm, it may well STILL BE warmer than the air around it, even higher up, so it keeps rising. Ideally, it rises until it arrives near the tropopause, where it can get rid of its heat. After that, being cooler, it sinks down again and is replaced by more heated air from below. (Why does air pressure get lower as one rises? Because air near the ground is compressed by the weight of all the other air above it. If you rise about 5 kilometers--3 miles and a little bit more--half the air is below you, only half of it is above and contributes to the compression, and so, the pressure there is only half of what it was near the ground. Go up 5 more kilometers and the pressure is about half as much again--a quarter of what it is near the ground. That is where jetliners fly, and the low pressure is the reason their cabins are sealed and pressurized--also why climbers on Mt. Everest carry oxygen bottles). This process of cooling, rising and finally radiating heat away is very important. THAT IS THE REASON WE HAVE WEATHER! The whole weather process is driven by the heat of the Sun, and by the collection of processes by which the Earth returns heat to space. The above is very, very simplified, especially since it ignores humidity. Actual air also contains water vapor--water which was evaporated by the Sun and dissolved in the atmosphere, just as sugar dissolves in a cup of coffee. Since the Sun has provided heat energy for the evaporation, water vapor acts a bit like extra heat given to the air when the water is removed as rain, air gets that heat back and is warmed, which is what drives thunderstorms. More about all these in 119. Have any changes been observed on the Moon?
ReplyI once had an office on the same floor as a lady scientist, Winnifred Cameron, who very much wanted to find such changes. She used a special viewing device looking at two pictures of a region on the Moon, taken under similar conditions but at different times, flipping from one to the other and looking to see if anything changed. I don't think anything ever did. She was particularly interested in observations of a Russian named Kozyrev, who claimed to see glows. 120. Why isn't our atmosphere flung off by the Earth's rotation?I have wondered for years how the earth keeps our atmosphere. The equator moves at almost 1000 MPH and the atmosphere is fluid. The fact that there isn't any wind (to speak of, at least resulting from the earth's rotation) says that the attraction of gravity is stronger than the centrifugal force trying to throw it off. Do we know if the amount of atmosphere is increasing, decreasing or remaining the same? It just seems to me that there should be a lot of turbulence in the atmosphere/space boundary region, although the 'emptiness' of space probably can't provide any drag on the atmosphere. Reply121. Can kinetic energy be reconverted to work?and have a question. Is kinetic energy available to do work later? Reply
If however your car is of the new "hybrid" type with electric motors on the wheels (like the Toyota "Prius" or the Honda hybrid), by braking you connect the motors to the car's batteries. The motors act as generators and charge the batteries, turning your kinetic energy into chemical energy of the battery, which can be reused. If however you link the shuttle to a conducting tether, as was done once (with some problems), the motion of the tether across the Earth's magnetic field lines creates a voltage, which may be tapped, e.g. for charging batteries. See http://www.phy6.org/Education/wtether.html. The solution was a large flywheel, connected to the generator providing the current. When the current decreased, the generator acted as a motor (a bit like that of the hybrid car) and spun up a flywheel weighing a few tons. The next cycle, the flywheel provided most of the energy for generating the magnet's current, slowing down again only a little extra power was needed to make good friction losses. Thus the energy bounced back and forth between magnetic and kinetic. Someone pointed out to me that the way the flywheel rotated was carefully chosen. In case the flywheel's bearings somehow gave way, its rotation was such that it would roll through the wall of the building and out into the field--not in the opposite direction, which would have brought it into the crowded accelerator hall. 122. Does any location get the same number of sunshine hours per year?
Big question in our family recently!! ReplyCertain approximations are necessary. You ignore the actual size of the Sun's disk--but count as "light" times when the center of the Sun is above the horizon and as "dark" times when it is below the horizon. Also we ignore the ellipticity of the Earth's orbit, which causes the speed of the Earth's motion around the Sun to vary, but assume that it moves at constant speed. (About that variation, see Skepl2A.htm . With those assumptions the Sun, too, seems to move with constant speed around the ecliptic over the course of the year. For the purpose of deriving average sunshine over the year, we can therefore replace it by an "average Sun" spread out evenly around the ecliptic. The question then becomes does this "average Sun" give equal hours of light and darkness to any point one Earth. Assume first that the Earth DOES NOT rotate, so that your position--Rome, Nome or Pennsylvania--does not move. Your view from that location is then determined by your horizon, which in turn is determined by the plane tangential to the surface of Earth wherever you stand. You can call this "the plane of the horizon." Anything above that plane--exactly half the celestial sphere--is visible, anything below it is not. (It may be useful for you at this point to fetch paper and pen.) The plane of the horizon cuts the plane of the ecliptic along SOME line of intersection, passing through wherever YOU are standing. In the plane of the ecliptic, the "average Sun" is a circle around your position, and any line through its center (=your place) is a diameter. This includes the above line of intersection. That line therefore cuts the "average Sun" into two equal halves--one above the horizon (which you see), the other below the horizon (which you don't see). Over the year the Sun occupies equally every little bit of the circle. So half the time you see it, half you don't. 123. Speed of toy car rolling off an inclined ramp
ReplyEvery object has a WEIGHT, the force by which gravity pulls it down. A big stone has more weight than a small one. Weight is one way of measuring the amount of material in the stone, or its "mass." A big stone has much more mass than a small one. However, if you drop them together, you will find that they fall equally fast!! This is, because each object also resists motion, and the resistance (called "inertia") is ALSO proportional to mass. That is why on a horizontal surface it takes much more force to get a bowling ball rolling than a tennis ball. The motion is horizontal, gravity is not too much involved, but the bowling ball has more mass and therefore much more resistance to being set in motion. Say the big stone has 10 times the mass of the small one. It also has 10 times the inertia, and that inertia does not allow it to move any faster, even when the Earth pulls it down 10 times as strongly. Model cars on a ramp (I suppose they are moved by gravity, like soap-box racers) obey the same rules. A heavy car is pulled more strongly, but also has more inertia, so the two should roll at the same speed. Try it! Put two toy cars--big and small--together on a slanting board, and let go. All other things being equal, they should move together. 124. Acceleration due to gravity
9.8 m/sec^2, but the class was asked to find a website that listed values of acceleration due to gravity at different locations on the Earth including acceleration due to gravity at our high school, Clarion-Limestone High School in Strattanville, PA. My question is: What are values of acceleration due to gravity at different locations on Earth and what is the value closest to my school? If you could help me out because I am really interested in finding out the answer, I would be greatly appreciative. ReplyI am not really supposed to do your work--but look at http://www.haverford.edu/educ/knight-booklet/accelarator.htm Actually, the interesting questions are not "what is the number" but "why does gravity vary from place to place?" and "how do we know?" It varies because the Earth rotates, adding a centrifugal force to the forces felt locally. That does two things: it makes the Earth bulge at the equator, so that points there are more distant from the center of Earth. And it adds there a force opposing gravity, so that the acceleration is smaller. Newton proposed that around 1690. The process was experimentally studied by comparing the time kept by pendulum clocks ("grandfather clocks") at different locations. The period of the pendulum depends on gravity, and a clock which keeps correct time in Pennsylvania will probably run slow at the equator. Disclaimer: The following material is being kept online for archival purposes.Please note!
346. Harry Paul Sprain's perpetual Motion DeviceThank you for returning my call. and for our conversation this afternoon [in which I told you about the device]. An early prototype can be viewed on YouTube by clicking on one of the following links: To provide you some of my background and experience, my C.V. is attached. I look forward to talking with you again. ReplyMy advice is, stay away from this device. Do not invest good money in it. All it uses is electromagnetic forces, and electromagnetism is well known to obey the conservation of energy (I vaguely recall something known as Poynting's theorem which expresses this mathematically). I looked at the video, and also looked at web pages about Harry Paul Sprain's gadget. The rotating arm in your video has an electric connection, and the argument is that yes, a magnet is indeed being pulsed once each rotation, but the pulse provides less energy than is extracted. That I find hard to believe--especially since no explanation is given WHY it should happen, contrary to physics expectations. On the mantelpiece above our fireplace in the living room is a gadget bought in California. It has a 3-armed flywheel with weights at the ends of the arms, and its axle rests between a pair of parallel supports, whose top follows a shallow curve. You would expect the wheel to rest at the bottom of the curve, but in fact, when set up, it rolls back and forth. as if something has endowed it with perpetual motion. That "something" is a battery hidden inside the base, connected to an electromagnet below the lowest part of the curve. That magnet is usually turned off. Some clever electronics, however, sense when the wheel comes close to the bottom (the weights contain iron) and then give the magnet a short burst of current, for a quick pull on the wheel, making good the energy loss to friction and helping it rise to its previous height. Sprain's gadget seems to be something similar, and you may discuss this with physicists at the university. 347. Can the plasma that fills space help spaceflight?With space filled with plasma (charged particles from suns) is it feasible to create electromagnetic space propulsion systems ? Would these be similar to the solar sails already in use by several space agencies ? Or could they be similar to the electromagnetic propulsion systems created for water vessels (I think back in the early 90's) ? ReplyI cannot guess all possible applications, but my first guess would be, it is probably not feasible . To create a force forward, something else needs to be pushed back , or at least something moving needs to be stopped. A solar sail stops sunlight, or reflects it back, which doubles the force (and actually it's best to deflect it by 90 degrees, to increase the orbital velocity around the Sun). The solar wind also can be stopped--I don't know how its pressure compares, I suspect it's less than that of sunlight. But to make use of the surrounding plasma, you need some electric circuit which pushes the plasma back. It is hard to channel an electric current when all space around you conducts electricity! It would take a lot of energy, too. Ion rockets indeed push back plasma, but the plasma is generated in the spacecraft itself, where its motion can be controlled before it is pushed away. The energy then comes from solar cells, and the acceleration is very gradual. See 348. Spiral arms of our galaxy
(Sender's location: Lat: S 33.940 Lon: E 18.766 ) ReplyThat was however before the impact of dark matter on galaxy rotation was appreciated: Stay around for a few years, or decades. Maybe we'll know than. 349. What powers a glider?We are having a discussion of what powers a glider. I keep insisting that while gravitational potential energy controls the motion, gravity isn't its source of power or energy, while a few others insist it must be powered by gravity. ReplyGravity of course pulls the glider down, but as it begins falling, it acquires some speed, and that speed creates lift on its wings, which slows down the downward motion. As explained in When the two forces are in equilibrium with gravity, the glider slowly descends--say, 1 foot for every 19 feet moving forward. The lift of the wing balances 19/20 of the weight of the glider, so only 1/20 of the gravitational potential energy is released each second, and is used up to overcome drag. In fact the motion is very much like sliding down a 1:19 slope. Soaring birds and experienced pilots know that air often rises faster than that --air rising from a sun-heated parking lot, or from a ridge hit by a steady breeze. By maneuvering again and again into the rising stream they can actually gain altitude. The source of energy is then heat --of sunlight on asphalt, or of the distant weather system which created the wind. See also 350. UFOs
Notwithstanding my BA in English Literature, I identify far more with the scientific community than with the groupie/fringe community of self-proclaimed UFOlogy experts. That's why I don't believe that I've been abducted, or that an alien object is implanted under my skin somewhere. even though I've been experiencing this awful pain just above my left wrist! ReplyI cannot speak for the US government or anyone else in the country. But as scientist I can only say that if such evidence existed, it would create tremendous interest and could not be kept secret. In fact, there would be no reason to conceal it, on the contrary--more people are probably worried that we may be alone in the universe than that we are not , and there have existed scientific searches for such life--maybe some still continue. I don't know what you and your companion saw--especially at night, lots of things can fool the eye and the mind. But the fact is, no reliable sign of alien intelligence has ever been identified. There used to be a big USAF project, and you may read about it in 351. Maximum speed for propeller-driven airplane?
ReplyThere definitely exists a maximum speed for propeller-driven airplanes, now quoted as 528.33 mph and held by a converted WW-2 fighter: The prop does not flail, and certainly does not overheat (air flowing by cools it!), but the thrust it gives levels off. In any airplane, thrust levels off--if the designed cruising speed is 400 mph, the pilot can probably fly a little faster, but will burn a lot of fuel and perhaps overstress the airframe. The earlier record, about 100 mph less, was set by a German Luftwaffe pilot in 1939, and he was quoted saying "I could have gone faster, but the propeller would not let me." Marine props have a different problem--cavitation, bubbles which limit operation. 352. The speed at which gravity spreadsEnjoyed your website, though a latecomer. We know the EM wave travels at the speed of light. But how about gravity? If this is a valid question to ask--how fast does a "gravity field" travel? For example, if the Sun were to disappear suddenly , will we fly away in darkness (as would happen if the gravity spread faster than the light, or instantly)? I happened recently to read something about a "torsion field" that, according to the writer, travels at the 10 9 c. I am not sure that is at all true science. but it started me thinking as to whether there is such a thing as the speed of gravity. ReplyGeneral relativity (another name for Einstein's extension of Newton's theory of gravitation) is not my field, but I am pretty sure that gravity (like electromagnetic and other fields) spreads at the velocity of light . The Sun will not suddenly disappear (mass-energy is conserved). However, some cataclysmic event (perhaps a big supernova collapse or the merging of black holes) may occur and generate gravitational waves , and these apparently travel at the speed of light. It is a tiny effect, but sensitive instruments are already in place to detect such waves, if their source is close enough. As of today, none was confirmed. But consider a simpler example (maybe too simple--general relativity may have something to say here too). Earth orbits the Sun in a near-circular path--let us simplify the picture and assume it is an exact circle . The Earth is attracted by the Sun's gravity, which provides the force to maintain the curvature of the orbital circle, or to balance the centrifugal force, whichever way you want to put it. However, what IS THE EXACT DIRECTION of that attraction? If gravity spreads with the speed of light, its pull is parallel to sunlight--directed to there we SEE the Sun and thus perpendicular to the orbit. However, that same sunlight took 8 minutes to reach us, and meanwhile Earth advanced a fraction of a degree in its orbit. The "real" position of the Sun in the sky should therefore be a small distance AWAY from where we see it, along the ecliptic and towards Zodiac constellations where the Sun had been earlier in the year. If gravity spreads INSTANTLY, its pull should be towards that "real" position. It is ALMOST the same direction, but not quite: the force will have a small vector component (see http://www.phy6.org/stargaze/Svector.htm) OPPOSING the motion of the Earth, and diminishing its energy, causing it to spiral towards the Sun (faster and faster, by the way). The fact you and I exist suggests this does NOT happen, and that gravity does not spread instantly. In fact, any velocity other than that of light would cause the Earth's motion to lose or gain energy. 353. Layers of the EarthReplyDear Joe You can read about it on a web page, part of a new set on the solar system The crust however is far from even, and in particular, it (luckily!) contains large lighter slabs , the continents , floating on top of denser rock which forms the sea bottom. The slabs of the crust slowly shift position ("plate tectonics"). If you want to pursue the evidence about this, you need to read sections on magnetism in "The Great Magnet, the Earth" Now a request . By the end of 10th grade, students should have covered a lot of that, especially if they had a course on Earth science. If it was not covered, please show this letter to your teacher, perhaps these web sites can help shape future curriculum. Also, tell your friends in school--they can learn a lot from this web material, even on their own. 354. Why doesn't the sky fall on us?ReplyHi, there Where the jet planes fly, most of the air is below them , so there is less weight compressing the air and it is only about a quarter as dense (which is why airliner cabins are sealed and maintain pressure). Still higher there is even less air, and only a trace remains at, say, 60 miles (about 100 kilometers). We are like fish at the bottom of an ocean of air, except that water has a top surface where it ends, while air decreases gradually. Above that, there is nothing--just empty space , with Sun, Moon, planets and distant stars, which are really far-away suns. A few atoms and electrons fly around there, but otherwise, NOTHING. So what is "the sky"? In the daytime you see it blue , because air scatters sunlight, especially the blue part of sunlight. Instead of the blue coming directly from the Sun, some of it comes from all directions (and with less blue, the Sun looks more yellow than it would look, say, from a spacecraft above the air). But there is nothing there except a layer of air. On a clear dark night you can really see how empty "the sky" is. Air is transparent, so you see the stars in all their glory, and there is hardly anything between you and them. 355. Imagine a non-rotating EarthDear Dr. Stern, I've been wondering this for quite awhile and when I found your website, "From Stargazers to Starships" , I thought I'd send you an email and ask you. Oh and when I say "stop," I don't mean stop abruptly, I mean slowly decelerate until it stops rotating. I hope you will answer my question even if it sounds bizarre or absurd, because its been bugging me for awhile. ReplyDear Luke It would still be interesting to simulate such a state on a weather-modeling computer , and I would not be surprised if someone had already done so. I gather you mean here an Earth undergoing one rotation per year and so presenting the same face to the Sun at all times. If ALL rotation stopped, sunlight would slowly circle the Earth. The problem is complicated by the atmosphere . If Earth's atmosphere were rarefied , all water on the sunward side would evaporate and condense again as an ice-cap on the dark side, while the day side would indeed be a hot desert. On the boundary between the two air would circulate vigorously, transporting heat from day to night. If the Earth's atmosphere were very dense , we would have something like Venus, whose temperature is more or less uniform (and hot) even though it rotates very slowly. Heat there is evenly distributed by winds, which have much more mass than those on Earth, and by the "greenhouse effect" in which molecules in the atmosphere transport heat by absorbing it and then re-radiating it in a random new direction. Which of these situations would resemble a non-rotating Earth I cannot even guess. 356. Flying east with a 1° errorReply357. US Flag on the MoonReplyThere is no air on the Moon, therefore no wind can blow, and a normal flag would hang limply down (the pressure of the solar wind is w-a-a-a-y too weak). Unless, of course, it had a sleeve sewn into its top and a rigid cross-bar threading it and connected to the flagpole. Indeed, if you look at pictures of Apollo flags, you will notice how straight their tops are, like the tops of a coffee-shop curtains, and for the same reason. Clarification I understand how they got the flag to look like it was blowing in the wind, but that's not exactly what I was asking. I wanted to know how they got the flag to stay implanted in the moon. . 358. Rope stretched across a long lake.ReplySay the lake in Norway is 120 km long. One may ask, "If we have two points at the same elevation but 120 km apart, and draw a straight line between them, how deep is the deepest part of the line?" The deepest point is in the middle, 60 km from either end. Suppose its depth there is D, while R is the radius of the Earth. You draw your diagram and use the theorem of Pythagoras : R 2 = 60 2 + (R – D 2 ) 3600/2R = 3600/12740 However, a ROPE through the lake will never be straight! Its weight will pull it down in the middle, probably all the way to the bottom, even if the lake is deep. I am sure you have seen electric trains whose power is taken from an overhead cable. The electric cable must be absolutely level, otherwise the frame connecting to it jumps up and down as the train moves. One cannot stretch the cable so tight that it will be absolutely straight, so (at least in this country) there are always TWO cables, one above the other. The top cable is steel (probably steel that does not change much in heat and cold) and it curves from the weight it supports. The bottom cable is copper to carry the electricity, and it hangs from the steel by short wires. Those wires get a little shorter in the middle between the towers that hold the steel cable, and are so adjusted that the second cable is straight, even if its supports are not. 359. About studying electronics in the USA(Message from India) I am going to stay there with my aunt and so I will not be paying my accommodation fees and hope to pay my university fees through part time jobs. I want to study electronics and communications there. Is the future for this field going to be good? Please also suggest me some good and reasonable universities for this course. I could not contact you for the last year as I was busy with my 12th grade studies. ReplyI am not in a good position to advise you on a university in California--it depends among other things on what part of California you will be in. Please realize, first, that university can be expensive, California and other states have special fees for students from that state, but all others pay more, and the best universities are private and expensive. In addition, your visa will probably state that you are not to work. Make sure all legal issues are taken care of. Finally, consider a good university in India, too. It used to be that American universities were automatically considered better, but for many years that is no longer true. There exist some very good universities in your country--in fact, the best ones (I understand) have competitive entrance exams and you need succeed well in those. Personally, I am about 4000 km from California, and it is hard to recommend. However, you have the internet, and you can collect information from it and find out about locations, about what various universities consider their strong subjects, about fees and entrance requirements, legal requirements for visas and dates for registration. You really should have started your search 1-2 years ago! Some web sites: Most important--ask professionals in India for advice, both those who studied in the USA and those who have studied in India. 360. Publish Stargazers as a book?ReplyAt one time I tried to publish in print the smallest of my collections ("The Great Magnet, the Earth") and found the effort time-consuming and discouraging. In any case, the future of books probably lies with the computer . Whether future "books" will be "printed to order" as some books are now, or read by compact devices like "Kindle," I do not know. Whatever replaces them should look like a book--not be videos or flashy illustrated stories (too much eye candy distracts), but very much like paper books used now, which is what I try to produce. Perhaps they will allow space to take notes and comments--no need to write them on the pages of a paper book. As it is, my efforts started in 1995, and the collections are still much in use (about a million pages each month), while most books go out of print much faster. The computer allows extra features, too--internal and external links, optional extensions, glossaries, time-lines, math supplements, links to hundreds of questions-and-answers like this one, translations and greatly expanded material. All this is very easily downloaded to a CD as "zip-archives," compressed collections which after downloading are split up by the computer into the same files as the ones you find on the web. The central link is You can make a disk for each of your 6th graders (and also download the archives onto the home computer for off-line use). Let them explore on their own! 361. Charging of Earth by lightning: + or – ?ReplyThe Earth as a whole (including atmosphere) has zero electric charge . Any charge it acquires--for instance, from positive cosmic ray ions which hit it all the time--is quickly neutralized, by ions and electrons ejected from the top of the atmosphere (positive "polar wind" ions or negative photoelectrons), or else by charges drawn from surrounding space. In either case, the excess electric charge is what creates the attracting or repelling force. However, there exists a charge separation in the atmosphere itself --high layers have extra positive charge and those near the ground have negative charge, which also determines the rate of voltage change near the ground. The separation is due to the process responsible for lightning, and is therefore greatest in thunderstorms and near them. Under quiet condition this voltage also spreads quite far horizontally, although far from its source it cannot drive any appreciable current, because air is such a good insulator. That makes such voltages hard to measure! The mechanism itself is described in 362. If no stars were seen--could Earth's orbital motion be discovered?(abbreviated correspondence) My question : we are able to demonstrate that the Earth rotates because there is the Coriolis force that accounts for the swirling water or the deviation to east of falling bodies. Is there any equivalent proof by which we could tell the Earth orbits the Sun, without considering the seasons and the position of the stars? The only non inertial force that I can see here is the centrifugal force, but since it is perfectly balanced by the gravity force that pulls the Earth to the Sun I wonder how we can devise an experiment to prove that the Earth is orbiting around our star. ReplyYour question reminds me of a very early science-fiction story by Isaac Asimov, " Nightfall ." It is set in a civilization like that of early Mesopotamia, except that the planet is in constant sunlight by two separate suns. When by a rare chance both suns are eclipsed and the stars (a very bright cluster) are first revealed, mass hysteria descends. Of course, motion with two centers of attraction would not be stable enough. But suppose Earth were like Venus covered by dense clouds limiting our vision. Could we tell it orbited the Sun--short of sending a rocket above the clouds? In a non-inertial frame, a non-moving compact object is in apparent equilibrium--only its own motion reveals any non-inertial character of its surroundings, by the Coriolis force. The human body is not sensitive enough to sense tiny forces, so it may fail to detect any difference even if a moderate amount of motion exists. A blindfolded astronaut in a space station will just feel "weightless," and a human on Earth won't sense any motion either. If you looked at the example of a draining bathroom sink (below the picture of the hurricane) in However, sensitive instruments are much better in telling if a system is inertial or not. A freely suspended spinning gyroscope points in a fixed direction, so if one is available, that is like having a fixed star in view. On a space station its axis (if in the orbital plane) should rotate 360 degrees every orbit, about every 90 minutes. On Earth it should move around a cone of directions in about 24 hours, as if it pointed at some star. Suppose Earth was permanently under cloud cover, allowing one to see variations of light between day and night, but no more, and therefore guess at the direction of the Sun. The axis of a freely suspended gyroscope pointing at the Sun today should rotate relative to it in a single year. Since the year is quite long, one must be sure the suspension is free enough to isolate the axis from motions of its surroundings, and to eliminate other possible sources of such rotation. That can make a challenging technical problem (and possibly, a cute science fiction story!). 363. Local Solar Time in IcelandI am trying to derive the actual solar hour of a place . Some websites state that you need to calculate magnetic declination of the place first. Is that true? I found this calculator here and wanted to ask you if it is accurate and if magnetic declination would be needed to find actual solar time: ReplySolar time depends on the location of the Sun in the sky and has nothing to do with magnetism of the Earth. As indicated on the web site you gave, solar noon is when the Sun "passes the meridian"--when it is exactly south, and is highest above the horizon (for that day).   It only depends on longitude , since it really measures the rotation of Earth around its axis and indeed shifts by 4 minue for each one-degree shift of longitude. Your latitude determines where the Sun actually is in the sky (it could even be night with the Sun below the horizon!). If the Sun is above the horizon, a sundial (http://www.phy6.org/stargaze/Sundial.htm) should indicate solar time, except for a small correction "the equation of time" included on your web site, which equals the difference (some minutes) between actual "solar noon" and "mean solar noon." Mean solar noon assumes all solar days are equal to 24 hours: actually, small differences exist, because of facts like the Earth's elliptical orbit. Noon by the clock is averaged over large strips of latitude, typically 15 degrees wide, which is the angle the Earth rotates in one hour. When traveling across the sea of the land you therefore need to adjust your clock only when you pass from one "time" zone" to another, usually by one hour. See http://www.phy6.org/stargaze/Slatlong.htm. About Iceland. I do not know. The web site you cited gives the local time zone for Reykjavik an hour behind Greenwich, as it should be for locations 16 to 21 degrees west of Greenwich. You wrote that actually Greenwich time is used , but maybe that is done out of convenience, people actually use the west European time zone to fit with local time in Scandinavia, Britain and other European neighbors. After all, time zones can adjusted for the convenience of users: all China has the same time zone, even though the country covers several zones, and the time zone of India is 5.5 hours ahead of Greenwich, since a standard time zone boundary would cut the country in half. 364. Is orbital motion same as free fall?ReplyYour question has more to do with use of language than with science. A swimmer exerts a force on the surrounding material, which the Moon etc. do not so "swimming" is not appropriate. "Floating" was originally applied to light objects on top of a fluid, like a cork on water and in this sense, astronauts in space do not float. People however also use this word for a state of being suspended without having to apply any force, just as the weight of the cork is balanced by the pressure of the water. In this sense, astronauts FEEL as if they were floating. "Free fall" suggests motion subject to no force except gravity, and in that sense, the Moon is in free fall around the Earth. However, free fall is not always straight down. That is only true for objects starting with no velocity of their own. If you give an object some velocity (say, throw a ball) its path is curved, and with enough velocity--like that of an artificial satellite, or the Moon--the path is curved enough to wrap around the Earth. 365. Build a straight tower in warped space?I was taken to one of your pages from a Google search to answer "if we build a straight structure, will it circle the globe?"
ReplyI am largely ignorant of general relativity, and therefore some of the things below may be wrong. But let me try. When you deal with cosmic distances , however, time creeps into the definition too. You look at a galaxy a billion light years away, but what you actually see is where it was a billion years ago. You have no way of measuring the path to it instantly. This and other things led Einstein to modify the prescription for distance ("metric tensor" or "metric" for short) to involve time as well, and make "space-time" separation rather than just space distance the foundation of physics. Actually, time is a different kind of dimension--a "time-like" dimension--since all its applications involve the square root of (), and that requires using a wider definition of numbers. It. That was the special theory of relativity . General relativity concluded that the presence of mass warped the metric (which is here a property of actual space--not just a mathematical artifact), causing (for instance) the path of light to curve and such effects as gravitational lensing. The strange arcs seen by telescopes suggest that even though light reaches us by the shortest route, that route is not the same as it would be in the absence of gravity. It is indeed the path a laser beam would take, and is as straight as anything can make it. However, you need extremely intense gravity to make a noticeable difference in the metric: the effect of the Sun's pull during a total eclipse in 1919 was barely noticeable. You need come close to a black hole to make space-time curve significantly, even bend a ray path onto itself. Let me stop here. You may ask someone more closely familiar with general relativity for a clearer view, but I am not sure it can be done without math. The late John Wheeler wrote "Spacetime Physics" which gives the nitty-gritty, but I'm not sure you are ready for it. Talk:Gravity/Archive 6I visited this page specifically to remind myself of the formula for the gravitational attraction of two bodies. To my mind, that's a fundamental formula in any discussion about gravity. —Preceding unsigned comment added by 91.153.156.36 (talk) 14:53, 7 November 2007 (UTC) I agree, I didn't find any reference to the page gravitational_constant anywhere in this article, even though the earth's gravitational constant is mentionted without a second thought. --KWifler —Preceding unsigned comment added by 24.22.176.33 (talk) 07:19, 30 May 2008 (UTC) My friend says that Gravity is only an unproven theory and that Centripetal Force is what keeps everything on the Earth. LOL! --Can Not 01:19, 26 September 2007 (UTC) Article Length = 16 pages (printed). There seems to be a lot of confusion in this article with regards to size / merge / split ideals. A group of us had a similar problem with thermodynamics article last year it was similarly about 16 pages in length. Our solution was to write mini-articles for each topic conjoined with “see main” links attached. By doing this, over several months, we reduced the thermodynamics article to 7 pages (printed) and it is now listed in “good article” standing. I would suggest following this route with the gravity article. There is a documented principle (I’ve read somewhere?) which states that online-reading tension spans are limited and that when an article is too lengthy the reader will typically give up. Yet, when an article is subdivided, with split-off topics, the reader’s efficiency will improve by allowing focused attention to desired subtopic. Please refer to the thermodynamics article as a model. Just a suggestion: --Sadi Carnot 16:25, 27 February 2006 (UTC) The article is now 47 kilobytes. The maximum is 32 (see: article size). I don't know who keeps putting the merge requests up, but this article needs to be chopped up. Rules are Rules. 32 kilobytes is the maximum. If I end up doing it, it's going to be sloppy. I would hope someone who has worked on this article would do it soon. I would suggest breaking this up into at least five pages that way some of us who have interest in certain areas can contribute here or there as we please.--Sadi Carnot 04:45, 9 March 2006 (UTC) I agree. As a casual reader of science topics and Wikipedia editor, split this baby up. As indicated, splitting off the Newtonian/math section seems appropriate and fairly simple. I'd also suggest keeping quantum mechanics and quantum particle physics out of this altogether, with only brief linking statements about the deeper implications of gravity and attempts at a unified theory. Go ahead and do it Sadi, be bold. DavidH 07:22, 10 March 2006 (UTC) How about using a /Gravity_page to partition out this idea? --Ancheta Wis 10:41, 10 March 2006 (UTC) | 7 Problems with Newton's theory 7.1 Theoretical concerns 7.2 Disagreement with observation 7.3 Newton's reservations 8 Einstein's theory of gravitation 8.1 Experimental tests 9 Comparison with electromagnetic force 10 Gravity and quantum mechanics 11 Alternative theories 11.1 Recent alternative theories 11.2 Historical alternative theories 12 Notes 13 See also 14 References 15 External links
Thanks for the support and ideas, keep them coming (however we can't have 30 headers). Last week I broke up the (over-the-limit) love article into four pages, and that seemed to go fairly well: If I break up this one, I will likely outline it similar to that of Britannica’s (CD-ROM) article on gravitation. They do a redirect from gravity to gravitation this is the way it is done in most physics textbooks as well. Britannica has over 200 year’s experience on this matter. Similarly, from the force article, as we all know: There are four known fundamental forces in nature.
Hence, when people look up “gravitation”, “gravity, “force of gravitation”, “gravitational force”, etc., for the sake of organization (without getting into some esoteric debate), we would redirect all to one page then on this main page, i.e. Gravitation, being short in length, give the following overview of gravitation (with branch-off points throughout):
This is rough outline (maybe with one more section?). We would then put the rest in the See also section, thus keeping the main page very simple. In this manner, it will have room to grow. If we have any grave objections we can always revert. Again, if someone else wants to do the break up then by all means do so. Are we all relatively O.K with this?--Sadi Carnot 17:50, 11 March 2006 (UTC) Wouldn't it be useful to separate Gravity from Gravity theory? The former would include the documented evidence, and the latter would include the speculative thought. This is how many similar topics are discussed. (See: theory#List of famous theories). KSchutte 19:14, 12 March 2006 (UTC) That would be nice in principle however, what happens is that people stumble upon the lesser of the two articles, assume it to be an untapped editing prospect, then start adding duplicate content, e.g. there were two separate history sections growing on the former separate “gravity” and “gravitation” articles. Read the arguments on the archive pages as well. --Sadi Carnot 15:44, 14 March 2006 (UTC) Completing merge and break-up of "joint" articles per Talk:Gravity discussion, gravitation talk page archives, and gravity talk page archives.--Sadi Carnot 05:56, 14 March 2006 (UTC) Gravity could be completely wrong nobody truly knows what keeps us on the earth gravity is just one version of it Cahan123 (talk) 08:36, 22 May 2008 (UTC) Gravity is now a redirect to Gravitation, in accordance with the above discussions (and per archives). The main article has now been reduced from 18 pages to 5. In doing this, seven new pages have been created as branched off from the main article, and the total set of eight pages (verses one) is now very workable. I apologize if the breakup was emotional for anyone. Almost nothing was deleted, most was simply redistributed and reorganized.--Sadi Carnot 09:59, 14 March 2006 (UTC) Congratulations and thank you. --Ancheta Wis 12:07, 14 March 2006 (UTC) Very well done, although I was taken by surprise by this. (I have not been active on the gravity page recently, but have kept an active watch here to maintain the integrity of this page.) It is nice to see that my firm stand against redirecting this topic to "gravity" has finally paid off. This is very much the kind of thing that I hope to have this page become. --EMS | Talk 16:39, 14 March 2006 (UTC) The current text is "American (German-born) physicist Albert Einstein". My object is that Einstein was a German physicist at time general relativity was created, and IMO should be listed as such. That he later emigrated to America is immaterial to his status at the time general relativity was developed. The other option is not to deal with the nationalities of well-known people like Einstein and Newton at all. (Note that this issue also related to the page Einstein's theory of gravitation. --EMS | Talk 16:52, 14 March 2006 (UTC) But I thought he renounced his German citizenship. OK even if he was granted German citizenship when he was professor in Germany, he lost that when he lost his job. What about simply omitting the attribution? -- or German / Swiss / American ? --Ancheta Wis 17:14, 14 March 2006 (UTC) I agree with you both however, as a general of thumb (in science writing) most attach a name to a nationality + type of scientist whereby we assume, no matter how famous, that the reader has no prior knowledge of the person. In this manner, the learning process is improved: people will attach an unknown name, such as “Albert Einstein” with an occupation, as “physicist”, to a national origin, as “German-born American”. This, by the way, is how Merriam-Webster describes Einstein in their one paragraph summary.--Sadi Carnot 17:23, 14 March 2006 (UTC) In 1915, Einstein's renouncing his German citizenship was still 20 years in the future. The issue is one of do we describe Einstein as he was when he created the theory, or as he was at his death? A case can be made for both, or for the alternative of not mentioning nationality at all in order to avoid this can of worms. At this point, my temptation is to leave it alone unless a consensus appears to change it, partially out of respect to Sadi's argument above and partially out of respect for the amount of thought and work that Sadi is putting into these articles. --EMS | Talk 18:12, 14 March 2006 (UTC) EMS, Actually he first renounced it in 1896. But SC, I concur with your work. --Ancheta Wis 18:26, 14 March 2006 (UTC) LOL! After looking at the link, it is now my conclusion that the correct text is "Swiss-American (born German) . ". --EMS | Talk 20:54, 14 March 2006 (UTC) Sounds accurate, how about: "the German-born, Swiss-American physicist Albert Einstein "? This seems cogent. Feel free to change it.--Sadi Carnot 21:23, 14 March 2006 (UTC) Sheesh, I can't believe that no-one suggested the simplest and wisest solution: Albert Einstein rather than the born-in-Ulm-schooled-in-Berne-worked-in-Vienna-later-lived-in-Berlin-and-still-later-fled-to-Princeton-Swiss-German-American-and-by-his-own-account-devoutly-trans-national mostly-theoretical-but-sometimes-experimental physicist-and-philosopher-and-sometime-inventor-and-as-some-would-say-theologian-which-as-some-would-say-makes-him-an-applied-mathematician-and-engineer-but-certainly-not-a-monk Albert Einstein.---CH 07:55, 21 April 2006 (UTC) Good lord. Just change it to "then-German scientist Albert Einstein" and be done with it. 209.214.230.142 20:54, 23 June 2006 (UTC) Interesting news going around today (2006-03-25) about some tiny aparrent changes in gravity from rotating rings of semiconductors. http://xxx.lanl.gov/abs/gr-qc/0207123.pdf Waaay over my head! Needs a physicist to explain where this fits in. If it does. —Preceding unsigned comment added by 83.104.55.73 (talk • contribs) (demon.uk in merrie old England) Thanks for the heads-up Anon, interesting article.--Sadi Carnot 01:50, 28 March 2006 (UTC) The article failed to reach good article status because:
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