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I'll just add one more thing to JD's comments. Students can work through
the microscopic detail forever and not come up with a good reason for the
loss of exactly 1/2 the KE in the collision as originally described. This
seems to me a clear case of _needing_ to start with the principles and the
equations (center of mass arguments being the most convincing to me) and
THEN worry about how the KE actually gets dissipated (or whatever phrasing
Jim Green would consider appropriate to describe the accounting
change! ;-)
Rick