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You are assuming that I said that the closer you get to the center of the earth, the greater G is. Not so. I assumed you are on the surface of the earth. Then on a mountain top, a good approximation is that all the earth's mass is at its center. In that case G is less on the mountain top than in the valley.
But if you penetrate the surface of the earth, at first G will increase as you approach the center. But soon the amount of the earth's mass farther from the center than you becomes significant and the G will plateau, then fall off right down to zero when you reach the center.
Just ask Newton.
wanda |
