Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 11 - Oscillations and Waves - Problems - Page 323: 12

Answer

The period of the oscillation is 0.75 seconds.

Work Step by Step

If the mass is at rest on the spring when the spring is stretched $x = 14~cm$, we can find an expression for $\frac{m}{k}$. $mg = kx$ $\frac{m}{k} = \frac{x}{g}$ We can find the period $T$ of the oscillations. as: $T = 2\pi~\sqrt{\frac{m}{k}}$ $T = 2\pi~\sqrt{\frac{x}{g}}$ $T = 2\pi~\sqrt{\frac{0.14~m}{9.80~m/s^2}}$ $T = 0.75~s$ The period of the oscillation is 0.75 seconds.
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