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 = ( 21 )1/2 Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant isk = 605 N/m, the spring will experience a maximum compression of 0.0 84 m.

College Physics
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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 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,
1/2
X = (
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
84 m.
compression of 0.0
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, 1/2 X = ( 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 84 m. compression of 0.0
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