Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 13 - Oscillations About Equilibrium - Problems and Conceptual Exercises - Page 448: 53

Answer

$0.30\frac{m}{s}$

Work Step by Step

We can find the maximum speed as follows: $\frac{1}{2}mv_{max}^2=\frac{1}{2}KA^2$ This simplifies to: $v_{max}=A\sqrt{\frac{K}{m}}$ As $\sqrt{\frac{K}{m}}=\frac{2\pi}{T}$ $\implies v_{max}=A(\frac{2\pi}{T})$ We plug in the known values to obtain: $v_{max}=(0.023)(\frac{2\pi}{0.48})=0.30\frac{m}{s}$
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