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Q. In figure, a force of magnitude $F$ acts on the free end of the cord. If the weight is move up slowly by a distance $h$. How much work is done on the weight by the rope connecting pulley and weight?
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Work, Energy and Power

Solution:

We applying force $F$ therefore tension in string is $T = F$.
Hence force acting on weight is $2F$ upward, and displacement is $h$ upward.
Hence $W = 2Fh$ (work done on weight)