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Yes and it will bounce for longer because there will be the same number and height of bounces as on earth, but beacuse it will fall slower so each bounce will take longer.
There would be a greater number of bounces, actually, because of no air...
author=Bored chemist link=topic=7454.msg80123#msg80123 date=1177523686]Not all balls are full of air.
BTW, how many bounces does it take before the ball actually stops?
The internal molecular vibrations that correspond to heat are much faster than the "bounce".
QuoteThere would be a greater number of bounces, actually, because of no air...Imagine you tried the expermient inside a sealed (fully evacuated) container on the earth. This negates any effect of air pressure. The ball will still stop bouncing because it is not having perfectly elastic collisions with the ground i.e. some of the work done in compressing the ball is lost as heat.But, the collisions between the ball and the surface on the moon are slower. Might this mean that they are more elastic, with less heat generated/energy lost (a bit of a guess this)? In which case the ball would complete more bounces before coming to rest on the moon than on the earth.
As most of the moon's surface is covered in thick dust the ball probably wouldn't bounce at all 
With a simple model