Sitting in a chairlift, Rebecca has a gravitational potential energy of 5,997.6 J. If Rebecca has a mass of 51 kg, how high off the ground is the lift?
PE = mgh, so
51*g*h = 5997.6
You know g, so now find h.
5997.6 = m g h = 51 * 9.81 * h
h = 12 meters
To find the height of the chairlift, we can use the formula for gravitational potential energy:
Gravitational Potential Energy (PE) = mass (m) * gravitational acceleration (g) * height (h)
Given that gravitational potential energy (PE) is 5,997.6 J, mass (m) is 51 kg, and gravitational acceleration (g) is approximately 9.8 m/s², we can rearrange the formula to solve for height (h):
h = PE / (m * g)
Plugging in the values, we get:
h = 5,997.6 J / (51 kg * 9.8 m/s²)
Now, let's calculate the height:
h = 5,997.6 J / (499.8 kg·m²/s²)
h ≈ 12.03 meters
Therefore, the chairlift is approximately 12.03 meters off the ground.