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The lead ball and the feather would hit the surface at the same time because there is no atmosphere on the moon. Gravity pulls on both objects in such a way as to produce the same acceleration, so they will hit at the same time.

On earth the problem is complicated by the presence of air, and that it exerts forces on the objects. The feather is affected by aerodynamic drag far more than the lead ball, and is thus slowed immensely in comparison.

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