Assume that I drill a hole straight into earth which comes out from other end of the earth.

Now, if drop a stone, will it come out from the other end, or it will just oscillate forever?

Gravity decreases as we go further from the center of earth. We weigh less on a mountain top.

So a stone would accelerate till the center of the earth and then proceed beyond for a distance depending on its momentum then fall back to the center and beyond oscillate a few times between two beyond of center of earth and finally come to rest at the center of the earth.

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