Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 14 - Oscillations - Exercises and Problems: 18

Answer

$f = 3.5~Hz$

Work Step by Step

We can find an expression for $\frac{k}{m}$ as: $kx = mg$ $\frac{k}{m} = \frac{g}{x}$ We then find the frequency of oscillation; $f = \frac{1}{2\pi}~\sqrt{\frac{k}{m}}$ $f = \frac{1}{2\pi}~\sqrt{\frac{g}{x}}$ $f = \frac{1}{2\pi}~\sqrt{\frac{9.80~m/s^2}{0.020~m}}$ $f = 3.5~Hz$
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