which way would gravity pull at the center of the earth
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It won't pull at all (assuming all the mass is symmetrically distributed above you). Hint, work out the equations yourself and see. – John Alexiou May 07 '18 at 14:30
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Possible duplicates: https://physics.stackexchange.com/q/2481/2451 and links therein. – Qmechanic May 07 '18 at 14:47
