A 1470-kg car is being driven up a 5.76 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 515 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 FN directed perpendicular to the road surface. The length of the road up the hill is 289 m. What should be the magnitude of F, so that the net work done by all the forces acting on the car is 192 kJ?

A 1470-kg car is being driven up a 5.76 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 515 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 FN directed perpendicular to the road surface. The length of the road up the hill is 289 m. What should be the magnitude of F, so that the net work done by all the forces acting on the car is 192 kJ?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 80P

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

A 1470-kg car is being driven up a 5.76 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 515 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 289 m. What should be the magnitude of F, so that the net work done by all the forces acting on the car is 192 kJ?

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