87. Conservation of Energy can be used to show that when a mass m oscillates at the end of a spring with spring constant k, the period of oscillation is /2E/k T = 4/m | dx /2E – kx² where E is the total energy of the mass. Show that this is an improper integral with value T = 2n /m/k.

87. Conservation of Energy can be used to show that when a mass m oscillates at the end of a spring with spring constant k, the period of oscillation is /2E/k T = 4/m | dx /2E – kx² where E is the total energy of the mass. Show that this is an improper integral with value T = 2n /m/k.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Question

87. Conservation of Energy can be used to show that when a mass m oscillates at the end of a spring with
spring constant k, the period of oscillation is
/2E/k
T = 4/m |
dx
/2E – kx²
where E is the total energy of the mass. Show that this is an improper integral with value T = 2n /m/k.

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