What is the magnitude of the force required to keep the sled from sliding down the hill?

Question

Ojemba is sitting on a sled on the side of a hill inclined at 45°. The combined weight of Ojemba and the sled is 170 pounds. What is the magnitude of the force required for Mandisa to keep the sled from sliding down the hill? The answer must be rounded to the nearest hundredth (if needed)

Answer 1

The force must balance the component of the weight that is parallel to the surface of the hill inclined at 45°.

 

F = W sin45° = (170 lbs) sin45° ≅ 120.2 lbs