The acceleration of each sphere caused by the gravitational force is inversely proportional
to the mass of that sphere. So why does the force of gravity give all masses the same
acceleration when they are dropped near the surface of the earth?
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If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.
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