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A Body of mass m is slowly pulled up the hill by a force F which at a point was directed along the tangent of the trajectory. All surfaces are smooth. Find the work performed by this force.

 




A Body of mass m is slowly pulled up the hill by a force F which at a point was directed along the tangent of the trajectory. All surfaces are smooth. Find the work performed by this force.


 


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Grade:

1 Answers

vikas askiitian expert
509 Points
10 years ago

applying work energy theorem

change in kinetic energy = work done by all forces

                                   = Wmg + Wext 

work by gravity = -mgh                  (-ve sign is because work is done against gravity)

work by F is Wext

change in kinetic energy = 0

so

        Wext - mgh = 0

       Wext = mgh

so work by force F is mgh , this work will not depend on the angle of incline ......

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