a question about conditions for Weightlessness

by nadavg54
Tags: conditions, weightlessness
nadavg54 is offline
Aug28-11, 10:37 AM
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I read that if you are in a spaceship orbiting earth in a circular motion, the astronout feels weightless (meaning the normal force to the astronout is equal to zero). But according to newton laws equations you get:

and then if we assume N=0 (which is really what's happening according to my understanding), we get:

And I don't understand why is that true, if you can explain, or if there is any mistake in what i've said above,

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Doc Al
Doc Al is offline
Aug28-11, 10:44 AM
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The only force acting on the ship is gravity, which is just enough to keep it in orbit. No additional force is required to support something in orbit, so the apparent weight is zero.
russ_watters is online now
Aug28-11, 10:45 AM
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In orbit, the force of gravity isn't felt because the orbiting spaceship is in freefall.

nadavg54 is offline
Aug28-11, 11:51 AM
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a question about conditions for Weightlessness

so my equations are not correct?
willem2 is offline
Aug28-11, 12:51 PM
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Quote Quote by nadavg54 View Post
so my equations are not correct?
They are correct. N=0 for an astronaut in freefall, because there's nothing that
can push against the astronaut. Your equation is just F =ma , where the
force is [itex] \frac {GmM}{r^2} [/itex] and the acceleration is [itex]
\frac {v^2}{r} [/itex]
chrisbaird is offline
Aug29-11, 09:31 AM
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Yes, your equations are correct. We actually don't "feel" gravity, we feel the ground pushing on our feet on response to the gravity pulling us against the ground. In free fall, there is no ground pushing back, so we feel don't feel it. But there is still gravity pulling on us. That is why we accelerate downwards. Try jumping off a high bridge into a river with your eyes closed. While in the air, you will feel weightless, but gravity is still at work, because you fall.

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