Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section6.4: Work Done By A Varying Force
Problem 6.4QQ
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Question
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:
=
½m2 = ½x
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 0.084 m.
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