An object of mass \( m \) slides down a hill of arbitrary shape and after travelling a certain h...
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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 tangential force must perform to return the object to its initial position along the same path is
(1) \( m g h \)
(2) \( -m g h \)
(3) \( -2 m g h \)
(4) \( 2 m g h \)
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