Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 15 - Oscillations - Exercises and Problems: 20

Answer

$k = 4~N/m$

Work Step by Step

When all the energy in the system is in the form of kinetic energy, the kinetic energy is 8 J. Therefore, the total energy in the system is 8 J. When the spring is stretched or compressed by 2 meters, all the energy in the system is in the form of potential energy. We can find the spring constant. $U_s = E$ $\frac{1}{2}kA^2 = E$ $k = \frac{2E}{A^2}$ $k = \frac{(2)(8~J)}{(2~m)^2}$ $k = 4~N/m$
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