An 75-kg hiker climbs to the summit of Mount Mitchell in western North Carolina. During one 2.0-h period, the climber's vertical elevation increases 540 m. Determine the change in gravitational potential energy of the climber-Earth system.

The change in gravitational potential energy of the climber-Earth system is  

Explanation:

From the question we are told that

    The mass of the hiker is  

    The time  taken is  

    The  vertical elevation after time  T is  

The  change  in gravitational potential is  mathematically represented as

here g is the acceleration due to gravity with value    

     substituting values  

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