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Leigh asked:
Your MET is understood. It is evidently correct. It is not
one of the two forms of the work-energy theorem put forth
in Hestenes's text. Can you give us examples of problems
best treated by this approach (the skater is a good one)?
It seems that this theorem is much underexploited because
few problems are posed that are readily solvable using it.
Leigh
Besides the auto: a person walking on the ground, a man
climbing a rope, a window washer pulling on a rope slung
over an anchored pulley and terminated on his platform,
the monkey climbing a rope slung over an anchored pulley
with a balancing weight hanging from the other end.