Homework Help

 How much work would it take for a 75-kg person to climb the 9000 meters from sea...

user profile pic

quddoos | Valedictorian

Posted July 23, 2013 at 9:20 AM via web

dislike 1 like

 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. 

1 Answer | Add Yours

user profile pic

llltkl | College Teacher | Valedictorian

Posted July 23, 2013 at 10:23 AM (Answer #1)

dislike 1 like

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.

 

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes