A certain spring is found not to conform to Hooke’s law.The force (in newtons) it exerts when stretched a distance x (in meters) is found to have magnitude 52.8x 38.4x2 in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x 0.500 m to x 1.00 m. (b) With one end of the spring fixed, a particle of mass 2.17 kg is attached to the other end of the spring when it is stretched by an amount x 1.00 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x 0.500 m? (c) Is the force exerted by the spring conservative or nonconservative? Explain.
A certain spring is found not to conform to Hooke’s law.The force (in newtons) it exerts when stretched a distance x (in meters) is found to have magnitude 52.8x 38.4x2 in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x 0.500 m to x 1.00 m. (b) With one end of the spring fixed, a particle of mass 2.17 kg is attached to the other end of the spring when it is stretched by an amount x 1.00 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x 0.500 m? (c) Is the force exerted by the spring conservative or nonconservative? Explain.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A certain spring is found not to conform to Hooke’s law.The
force (in newtons) it exerts when stretched a distance x (in meters)
is found to have magnitude 52.8x 38.4x2 in the direction opposing
the stretch. (a) Compute the work required to stretch the
spring from x 0.500 m to x 1.00 m. (b) With one end of the
spring fixed, a particle of mass 2.17 kg is attached to the other end
of the spring when it is stretched by an amount x 1.00 m. If the
particle is then released from rest, what is its speed at the instant
the stretch in the spring is x 0.500 m? (c) Is the force exerted by
the spring conservative or nonconservative? Explain.
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