I've seen all the mathematical proofs and physics demonstrations in vacuums. However, for example, if a hammer falls to the Earth it falls very quickly. But, it can be interpreted another way. The hammer doesn't fall to the Earth, the Earth falls to the hammer. Then, on the moon, (since the smaller gravitational acceleration) the moon falls a lot slower to the hammer than the Earth falls to the hammer.
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$\begingroup$ Not sure if I understand your question, but mass doesn't matter because the gravitational force is proportional to he gravitational mass, which is equal to the inertial mass. $\endgroup$– 4ntCommented Oct 19, 2015 at 4:00
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$\begingroup$ By the logic of your potential explanation, if someone dropped a hammer on the other side of the earth at the same time as you dropped one, neither hammer would fall. $\endgroup$– Dr ChuckCommented Oct 19, 2015 at 9:02
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$\begingroup$ I don't know what you mean by "neither hammer would fall" $\endgroup$– JobHunter69Commented Oct 20, 2015 at 0:23
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$\begingroup$ They do fall, and my logic did not apply anything like that. $\endgroup$– JobHunter69Commented Oct 20, 2015 at 0:23
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$\begingroup$ If the Earth falls to the hammer, which hammer does it fall towarsd? $\endgroup$– Dr ChuckCommented Oct 20, 2015 at 11:42
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that is because the gravitational force depends on mass o the earth and the object and the object which which fall like hammer have negligible mass as compared to the mass of the earth. therefore the force exerted is the same.
