Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 13 - Section 13.5 - Energy in Simple Harmonic - Got It? - Page 233: 13.5


The answer is below.

Work Step by Step

Since kinetic energy is directly related to mass and spring energy is directly related to the spring constant (and the energy is alternating between these two energies), we see that the mass and the spring constant both must be doubled for the higher-energy spring system. Since their amplitude and frequencies are the same, after all, their velocities must be the same as well.
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