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

User Charmin
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1 Answer

2 votes

Answer:

3462.3N

Step-by-step 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.

User Mitja Rogl
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4.9k points