The hammer and the feather fell at the same rate on the Moon because there is no significant air resistance to slow down the feather, unlike on Earth where air creates drag. On Earth, the feather's lightweight and shape cause it to be affected more by air resistance compared to the hammer. This difference in air resistance leads to the hammer falling faster than the feather on Earth, while on the Moon, both objects fall at the same rate due to the lack of atmosphere.
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