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help with physics problem... A 1400 kg car is being driven up a 3.5 degree hill.

ID: 2142428 • Letter: H

Question

help with physics problem...

A 1400 kg car is being driven up a 3.5 degree hill. The frictional force is directed opposite to the motion of the car and has a magnitude of f = 524 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: its weight W and the normal force F N directed perpendicular to the road surface. The length of the road up the hill is 283 m. What should be the magnitude of F, so that the net work done by all the forces acting on the car is 160 kJ?

Explanation / Answer

work done by FN will always be zero. as its perpendicular.

work done friction + by weight + by F = 160 kJ

-524 x 283 - 1400gsin3.5 x283 + F x283 = 160 x 10^3

F = 1926.96 N