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 40.0x + 46.1x² in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x-0.28 m tox-0.56 m. (b) With one end of the spring fixed, a particle of mass 2.47 kg is attached to the other end of the spring when it is extended by an amount x-0.56 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x-0.28 m? (c) is the force exerted by the spring conservative or nonconservative?
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 40.0x + 46.1x² in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x-0.28 m tox-0.56 m. (b) With one end of the spring fixed, a particle of mass 2.47 kg is attached to the other end of the spring when it is extended by an amount x-0.56 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x-0.28 m? (c) is the force exerted by the spring conservative or nonconservative?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 57P: In a Coyote/Road Runner cartoon clip (https://openstaxcollege.org/l/21coyroadcarcl), a spring...
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