What should happen if you dropped a hammer and a feather on the moon?

If you dropped a hammer and a feather on the moon, both would fall at the same rate due to the moon's lack of atmosphere, which eliminates air resistance. This means they would hit the lunar surface simultaneously, demonstrating Galileo's principle of falling bodies. This phenomenon contrasts sharply with what happens on Earth, where the feather would fall much more slowly due to air resistance.