mass/gravity question

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Granted an object with large mass would hit first however, when we are talking about objects in the gravitational influence of a MUCH greater mass, those two figures would be painfully close... Gravity is a weak force, in comparison. When the effect of an iron ball the size of a house hitting the earth is compared to that of a birds feather... in a vacuum mind you, the ball would hit and the feather would be a few pico-meters behind. In other words, yes they fall at the same rate on any logical scale. And I failed physics... geesh haha