How much work does it take for a 75-kg person to climb the 9000 meters from sea level to the peak of mount everest ? how much potentional energy would this person have when he or she reached the summit ?
The gravitational potential energy of a body placed at a height h above the surface is equal to PE = m*g*h where m is the mass of the body and g is the acceleration due to gravity.
The peak of Mount Everest that is a height of 9000 m. The potential energy of a person with mass 75 kg at this height is equal to 75*9.8*9000 = 6615 kJ
In an ideal case scenario, with efficiency at 100%, the work required to be done to reach the peak of Mount Everest is equal to the increase in net change in potential energy. This is 6615 kJ.