Posted by alz on Sunday, January 29, 2012 at 7:15pm.
not quite
any energy lost to friction or air resistance would prevent it from having enough energy to make it back to the same height (unless it started with a big push)
If not moving at start, total energy = potential energy = m g h
if any energy is lost during the trip, it will not be able to muster m g h once it stops again if h is the original h
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