An object of mass m slides down a hill o...

An object of mass `m` slides down a hill of arbitrary shape and after travelling a certain horizontal path stops because of friction. The total vertical height descended is `h`. The friction coefficient is different for different segments for the entire path but is independent of the velocity and direction of motion. The work that a tangerial force must perform to return the object to its initial position along the same path is

mgh

2 mgh

4 mgyh

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