A person walks up the mountain and another person jogs up the mountain; assuming they weigh...
A person walks up the mountain and another person jogs up the mountain; assuming they weigh the same, what would be a) their potential energies when the reach the summit b) the average power they expend when they reach the summit?
Homework Answers
a) We have a formula for potential energy, (P.E.) = m *g *h
where m = mass (or weight of the person in Kg), g = acceleration due to gravity (9.8 m/s2) and h = height of the mountain from the mean sea level
As the weight of both persons is the same then, the potential energy would be the same for each person i.e. = m*g*h
b) The average power spent by each person would be different because they have different speeds of moving i.e. one is walking and another is jogging.
Power = Work/time = (Force * displacement)/time = (mass * acceleration due to gravity ) * (displacement /time) = mass (m) * acceleration due to gravity (g) * speed of their movement (v) = m * g * v
where m = mass (or weight of the person in Kg), g = acceleration due to gravity (9.8 m/s2) and v = speed of their movement
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