A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with stiffnessk at the end of the track causing the spring to compress. What is the maximum compression x of the spring? By conservation of energy, K1 + U1 = K2 + U2 Some of the terms in the equation above are zero; thus it can be simplified to: 2 = % Isolating the compression x, x = ( 2, 1/2 Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k = 605 N/m, the spring will experience a maximum compression of 0.0 84 m.

University Physics Volume 1
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Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 89AP: A box slides on a frictionless surface with a total energy of 50 J. It hits a spring and compresses...
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A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with stiffness k at the end of the track causing the spring to compress.
What is the maximum compression x of the spring?
By conservation of energy,
K1 + U1 = K2 + U2
Some of the terms in the equation above are zero; thus it can be simplified to:
2 = 2
Isolating the compression x,
x = (
27
1/2
Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k = 605 N/m, the spring will experience a maximum compression of 0.0
84 m.
Transcribed Image Text:A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with stiffness k at the end of the track causing the spring to compress. What is the maximum compression x of the spring? By conservation of energy, K1 + U1 = K2 + U2 Some of the terms in the equation above are zero; thus it can be simplified to: 2 = 2 Isolating the compression x, x = ( 27 1/2 Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k = 605 N/m, the spring will experience a maximum compression of 0.0 84 m.
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