Question

A utility vehicle with a gross weight of 5400 lb is parked on a slope of 10 degrees. What force is required to prevent the vehicle from rolling down the hill assuming only gravitational force is acting?

A) 934.8 lb
B) 547.4 lb
C) 935.0 lb
D) 5400.0 lb

Answer 1

The force required to prevent the vehicle from rolling down the hill is approximately 934.8 lb.

Step-by-step explanation:

The force required to prevent the vehicle from rolling down the hill can be calculated using the principle of equilibrium. In this case, the force required is equal to the component of the gravitational force parallel to the slope. The force can be calculated using the formula:

Force = weight * sin(angle)

Given that the weight (or the gravitational force acting on the vehicle) is 5400 lb and the angle of the slope is 10 degrees, we can substitute these values into the formula:

Force = 5400 lb * sin(10°)

Using a calculator, the force is approximately 934.8 lb.