If a 200 pound cable is 100 feet long and hangs vertically from the top of a tall building, how much work is required to lift the cable to the top of the building?

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Since the blindness of the cable is

##{200}/{100}=2## lb/ft,

the slight side of the cable of protraction ##dx## pulls down after a while the security

##2dx## lb.

Let ##x## be the absence of the side of the cable from the top of the edifice. To upheave this side up to the top, it requires the security of

##dW=2dx cdot x=2xdx## ft##cdot##lb .

Since the cable is ##100## ft desire,

##W=int_0^{100}2xdx=[x^2]_0^{100}=10000## ft##cdot##lb

I trust that this was beneficial.

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