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?

A. 6 m
B. 12 m
C. 118 m
D. 612 m

E = m*g*z

m = mass in kg
g = 9.8 m/s^2
z = height in meters
Solve for z.
You can check your calculation here.
http://www.ajdesigner.com/phppotentialenergy/potential_energy_equation.php

To find the height off the ground of the chairlift, we can use the formula for gravitational potential energy:

Gravitational Potential Energy (PE) = mass (m) * acceleration due to gravity (g) * height (h)

In this case, we are given the gravitational potential energy (PE) as 5,997.6 J and the mass (m) as 51 kg. The acceleration due to gravity (g) can be approximated as 9.8 m/s^2.

Rearranging the formula, we can solve for the height (h):

h = PE / (m * g)

Plugging in the given values, we have:

h = 5,997.6 J / (51 kg * 9.8 m/s^2)
h ≈ 11.7 meters

Therefore, the chairlift is approximately 12 meters off the ground.

The correct answer is B. 12 m.