The free fall acceleration of an object under earth's gravity is directed toward?
When the same amount of force is applied to two different masses, the smaller mass will be accelerated ____ than the larger?
closed as too localized by David Z♦ Mar 1 at 6:54
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1) The center of the earth. As Wouter pointed out this is really supposed to be the center of mass of the Earth which differs only slightly from the center.*
2) The smaller mass will be accelerated more. This follows from $F=m a$. At constant $F$, smaller $m$ implies larger $a$.
*Since the Earth is not a perfect sphere it does not have a center as such. But the point is moot anyway.