Question

A 75 kg skier rides a 2830-m-long lift to the top of a mountain. The lift makes an angle of 14.6°with the horizontal. What is the change in the skier's gravitational potential energy?

Answer 1

Gravitational potential energy = 524.85 kJ

Step-by-step explanation:

Refer the figure.

Gravitational potential energy = mgh

Mass, m = 75 kg

Acceleration due to gravity, g = 9.81 m/s²

We have

`sin14.6=(h)/(2830)\\\\h=713.36m`

Gravitational potential energy = 75 x 9.81 x 713.36 = 524854.62 J = 524.85 kJ