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On Limos and Spherical Chickens

Session Start Tue Mar 04 13:38:50 2003
Prabhu's Away Message:
Suppose we have a 20 foot limo and a 12 foot garage. Someone comes up with the idea of accelerating the limo to, say, 75% the speed of light and driving into the garage. The idea is that, according to Einsteinian relativity, the observer in the garage will see the limo contract in length as a result of traveling at this high velocity, so that it might fit into the garage, when we can then slam the door shut (or some such similar procedure). There is a problem though. From the point of view of the limo, the length of the garage is actually what's contracting. So while the acceleration makes the stationary observer think the limo should fit, the moving observer thinks it's even more impossible. Which one of them is right? What happens? Does the limo fit inside the garage, or doesn't it?

It's a shame physicists don't get to actually perform these insane thought experiments they devise. I might consider becoming a physicist in that case.

K@ the answer is that it won't fit. Or at least, it cannot fit in its current recognizable state as a limo. At 75% the speed of light, the exterior, the frame and the rest of the car will be melted or warped due to friction with air or otherwise damaged.�
The driver would also die from all the G force
The answer is always the 3rd option
Session Close�Tue Mar 04 13:41:20 2003


Session Start Tue Mar 04 13:41:33 2003
Prabhu: lol
Prabhu: you can't take those sorts of things into account!
K@ and why not?
Prabhu: because it's not the target of the question
K@
K@ the question just asked who was right
K@ neither are correct
Prabhu: fair enough
K@
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Prabhu: well in the first place it's kind of irrelevant, since no one knows how to accelerate anything the size of a limo to anywhere near 75% the speed of light
K@ the amount of energy needed would be tremendous
Prabhu: no kidding
Prabhu: not to mention the g-forces would be intolerable for any person, like you said
K@ yes
K@ that can be overcome if you install autopilot
K@ but things would melt�or as they compressed, things would have weird interactions and the electronics may not communicate well
Prabhu:hmm that's true
K@ er, maybe not - since compression is relative
K@ but the things that are at the very edge of the car and interacting with the non-75% speed of light air may be damaged
Prabhu: well if you assume there is air, you would have to assume that there is a resulting drag force, which means that as the car accelerates, it brings the air in front of it up to the same speed
K@ ok, what about the air to the side of the car?
Prabhu: hmm...I have no idea
Prabhu: I'm pretty sure the dynamics of air are supercomplicated
K@ well, maybe we can assume a limo and a garage in a vaccuum
Prabhu: yeah
Prabhu: that would probably be a meaningful assumption
K@ lol - imagine a limo in outerspace just hanging around
K@ but then you'd have to assume it was launched to 75% speed of light without any of it's own combustion. Otherwise, it wouldn't be a vaccuum anymore
K@ unless you say that is neglible
Prabhu: well exhaust would theoretically go entirely behind the car, so it wouldn't interact with it as it continued to move forward
K@ well, exhaust goes behind - you are assuming that the air will not travel fast enough to affect the rest of the car?
K@ anyway, I still think it must be launched. Otherwise, there would be serious tire melting�or wheels flying off
Prabhu: heh geez
K@ to get the car to move by itself that fast
Prabhu: I think this is a case where physicists "assume a spherical chicken"
Prabhu: basically there are tons of complexities
Prabhu: but supposing we could ignore all of these, what would happen?
K@ lol - spherical chicken?
K@ would it lay a spherical egg?
Prabhu: haha good question
K@ I'd say that would be pretty painful
Prabhu: I'm not sure how the expression originated
Prabhu: but it seems to be fairly common
K@
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K@ can spherical chickens fly?
Prabhu:can normal chickens fly?
K@ some can
Prabhu: hmm ok
Prabhu: I'd have to doubt that spherical ones could
K@ well, I'm just glad I"m not a spherical chicken
K@ too much wind resistance?
K@ not aerodynamic enough likely
K@ I suppose if you could accelerate the chicken to 75% the speed of light..
K@ it'd probably fit in the garage
Prabhu: hahaha
**end transmission**

So what's a spherical chicken?

 
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