A body of mass m was slowly hauled up the hill (fig). 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 λ , and the coefficient to friction k.
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Let vector 
makes an angle 
with the horizontal at any instant of time (Fig.). Network's second law in projection from along the direction of the force gives:
(because there is no acceleration of the body.)
As 
the differential work done by the force 
,
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