A car that weighs 4000 lbs. is parked on a hill in San Francisco with a slant of 28° from the horizontal. A tow truck has to remove the truck from its parking spot and move it 850 feet up the hill. How much work is required? Round to the nearest integer.
A) 3,002,022 ft lbs.
B) 1,596,203 ft lbs.
C) 1,807,812 ft lbs.
D) 5 ft lbs.

Question

Quizplus · Accepted Answer

The work required to move the car up the hill is equal to the force required to move the car multiplied by the distance moved. The force required to move the car is equal to the weight of the car multiplied by the sine of the angle of the hill. The distance moved is equal to the length of the hill. Therefore, the work required is:```W = F * d = (4000 lbs * sin(28°)) * 850 ft = 3,002,022 ft lbs```

A Car That Weighs 4000 Lbs