College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Review & Synthesis: Chapters 9-12 - Review Exercises - Page 469: 20

Answer

We can photograph the wave in position A at $7.2~ms$ and $14.4~ms$ We can photograph the wave in position B at $1.8~ms$ and $5.4~ms$ We can photograph the wave in position C at $3.6~ms$ and $10.8~ms$

Work Step by Step

We can find the wave speed along the string: $v = \sqrt{\frac{F}{\mu}}$ $v = \sqrt{\frac{2.00~N}{0.200\times 10^{-3}~kg/m}}$ $v = 100~m/s$ From position A to position B, the wave peak travels $\frac{1}{4}$ of the length of the string. We can find the time for the wave to travel $\frac{1}{4}$ of the length of the string: $t = \frac{L/4}{v}$ $t = \frac{L}{4v}$ $t = \frac{0.720~m}{(4)(100~m/s)}$ $t = 0.0018~s$ $t = 1.8~ms$ After another $1.8~ms$, the wave is in position C. We can photograph the wave in position C at $3.6~ms$ After another $1.8~ms$, the wave is in position B. We can photograph the wave in position B at $5.4~ms$ After another $1.8~ms$, the wave is in position A. We can photograph the wave in position A at $7.2~ms$ After another $1.8~ms$, the wave is in position B. We can photograph the wave in position B at $9.0~ms$ After another $1.8~ms$, the wave is in position C. We can photograph the wave in position C at $10.8~ms$ After another $1.8~ms$, the wave is in position B. We can photograph the wave in position B at $12.6~ms$ After another $1.8~ms$, the wave is in position A. We can photograph the wave in position A at $14.4~ms$ We can photograph the wave in position A at $7.2~ms$ and $14.4~ms$ We can photograph the wave in position B at $1.8~ms$ and $5.4~ms$ We can photograph the wave in position C at $3.6~ms$ and $10.8~ms$
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