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You may have already seen this in The Physics Teacher (Nov. 2001),
but in case you missed it, here's a problem which might amuse you:
A long uniform chain is hung over a frictionless pulley. The left
part of the chain rest on a table, and the right part rests on the
floor. Soon after the chain is released, it reaches a constant speed.
Find that speed, given that the table is height h above the floor.
The solution using momentum is given in the Feb. 2002 issue. Your
assignment is to find a solution using energy. I'd be interested in
hearing from anyone who wants to take a crack. Carl