Find the force required to keep a 3000 lb car parked on a hill that makes an angle of 15 degrees with the horizontal.

Question

Marin Castro

Physics

6 February, 04:27

Find the force required to keep a 3000 lb car parked on a hill that makes an angle of 15 degrees with the horizontal.

+5

Answers (1)

Know the Answer?

Rosario · Answer 1

3462.3N

Explanation:

3000 lbs = 3000 / 2.2 = 1363.6kg

Let g = 9.81 m/s2. The weight of the car is

W = mg = 1363.6*9.81 = 13377 N

Since the car is parked on a hill that makes an angle of 15 degrees with the horizontal, the gravity force that is parallel with the road is

Wsin (15) = 13377*0.2588 = 3462.3 N

Which is also the force that is required to keep the 3000lb car stationary.