How much work would it take for a 75-kg person to climb the 9000 meters from sea level to the peak of Mount Everest? How much potential energy would this person have when he or she reached the...

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 How much work would it take for a 75-kg person to climb the 9000 meters from sea level to the peak of Mount Everest? How much potential energy would this person have when he or she reached the summit? Show your calculations. 

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We know that Work done=Force*displacement.

To lift oneself up by climbing, one has to exert a force equal to one's own weight.

We know that weight=m*g. so,

Work done=F*d

              =m*g*d

Here, m=75kg, g=9.81m/s^2 and d=9000 m.

Plugging in the values we get:

Work done=75*9.81*9000

              =6621750 J

Also gain in potential energy=m*g*h

                                      =75*9.81*9000

                                      =6621750 J

Hence, work done by the person is the same as the gain in his potential energy=6621750 J.

 

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