Aamc #9

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This question was the difference between a 13 and a 14... THIS stupid freaking question

Is it me or is this a totally loaded question? Which involves more work? I need not put any force on the wire for it to go from A to B.

So 0 x distance = 0....

To lift it I must put a Force on the rope

F x distance =/= 0

Is this ambiguity on their part or am I just being ridiculous?

Work is F*d. Draw a free body diagram and you will see 2 forces, force "F" and mg. Alternatively, it is simpler to just use conservation of energy.

there are no non-conservative forces acting on the block, the pully thrown in there is a red herring in my view. E=E' mgh=mgh the only forces on the block before and after.