Question

You are skateboarding on top of a small hill. You have 100 J of potential energy. If your mass is 80 kg, how high is the hill you're skating on?

a. 0.125 meters
b. 0.8 meters
c. 125 meters
d. 8 meters

Answer 1

The height of the hill you're skating on is 0.125 meters.

Step-by-step explanation:

To determine the height of the hill, we can use the formula for gravitational potential energy:

Potential Energy = mass * gravity * height

Given that the potential energy is 100 J and the mass is 80 kg, we can rearrange the formula:

height = Potential Energy / (mass * gravity) = 100 J / (80 kg * 9.8 m/s^2) = 0.125 meters.

Therefore, the height of the hill you're skating on is 0.125 meters, so the correct answer is a. 0.125 meters.