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A body of mass m was slowly hauled up th...

A body of mass m was slowly hauled up the hill (figure) by a force F which at each point was directed along a tangent to the trajectory. Find the work performed by this force, if the height of the hill is h, the length of its base l, and the coefficient of friction k.

Text Solution

Verified by Experts

The correct Answer is:
`A=mg(h+kl)`
For slowly havled `DeltaK=0`
`W_(F)+W_(g)+W_(f)=DeltaK`
`W_(g)=-mgh`
`W_(f)=-mgkl`
`W_(F)=mgh+mgkl=mgl(h+kl).`
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