Question

5. You are skateboarding on top of a small hill and take a break. You have 100 J of potential energy. If

Answer 1

Given the potential energy of 100 J, the height of the hill is 0.128 m (12.8 cm)

Explanation:

The gravitational potential energy of an object is given by:

$U=mgh$

where

m is the mass of the object

g is the acceleration of gravity

h is the heigth of the object, relative to the ground

In this problem, we have

U = 100 J is the potential energy of the person

$g=9.8 m/s^2$ is the acceleration of gravity

m = 80 kg is the mass of the person

Solving for h, we find at what height the person is:

$h=\frac{U}{mg}=\frac{100}{(80)(9.8)}=0.128 m = 12.8 cm$

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