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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 48.0x + 47.5x² in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x = 0.15 m to x = 0.30 m. (b) With one end of the spring fixed, a particle of mass 2.63 kg is attached to the other end of the spring when it is extended by an amount x = 0.30 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.15 m? (c) Is the force exerted by the spring conservative or nonconservative? (a) Number Units (b) Number i Units (c)

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 48.0x + 47.5x² in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x = 0.15 m to x = 0.30 m. (b) With one end of the spring fixed, a particle of mass 2.63 kg is attached to the other end of the spring when it is extended by an amount x = 0.30 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.15 m? (c) Is the force exerted by the spring conservative or nonconservative? (a) Number Units (b) Number i Units (c)

University Physics Volume 1
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 79AP: Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is...
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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 48.0x + 47.5x² in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x = 0.15 m to x = 0.30 m. (b) With one end of the spring fixed, a particle of mass 2.63 kg is attached to the other end of the spring when it is extended by an amount x = 0.30 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.15 m? (c) Is the force exerted by the spring conservative or nonconservative? (a) Number i Units (b) Number i Units (c)
Transcribed Image Text: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 48.0x + 47.5x² in the direction opposing the stretch. (a) Compute the work required to stretch the spring from x = 0.15 m to x = 0.30 m. (b) With one end of the spring fixed, a particle of mass 2.63 kg is attached to the other end of the spring when it is extended by an amount x = 0.30 m. If the particle is then released from rest, what is its speed at the instant the stretch in the spring is x = 0.15 m? (c) Is the force exerted by the spring conservative or nonconservative? (a) Number i Units (b) Number i Units (c)
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