kleinma
- 92
- 0
Originally posted by selfAdjoint
This is a famous thought experiment. Imagine a hole through the Earth from pole to pole to avoid affects of Earth's spin. And imagine it is evacuated to avoid effects of air resistance.
Then if you fell into it at one pole here is what would happen. You would accelerate constantly as you fell until you reach the center. At this point you are moving very fast and will streak past the center. On the other side you are rising against gravity so you will decelerate at precisely the same rate as you accelerated before.
This will bring you to the surface at the other pole with no upward velocity. So you will fall back and the whole thing will happen again in reverse. And so on.
This is actually nothing but a degenerate cas of an orbit! You will have become a kind of satellite.
but then the gravity is still at the center no? the only reason you would shoot past the center and to the other side is because of the speed you built up traveling to the center..