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Now if I slide the book across the table slowly, there are again two
forces acting -- my hand and friction -- and the work done by each force
cancels. See the book does not continue to move -- the level of energy is
not increased. {A little lie to be corrected later -- necessary because I
haven't introduced KE yet}
What is the difference between gravity and friction? With gravity I can
get a subsequent increase in the level of energy and with friction I can
not. Let me call such forces conservative and non-conservative.