A hill is 200 m long and makes an angle of 12° with the horizontal.As a 50-kg jogger runs up the hill,how much work does gravity do on the jogger?
A) 98,000 J
B) −20,000 J
C) 20,000 J
D) zero

Question

Quizplus · Accepted Answer

The work done by gravity is calculated as the negative of the gravitational force component along the hill's incline. The vertical height (h) can be found using h = 200 m * sin(12°). The work done by gravity is then W = -mgh = -(50 kg)(9.8 m/s²)(200 m * sin(12°)) ≈ -20,000 J.

A Hill Is 200 M Long and Makes an Angle