Physics Technology Update (4th Edition)

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

Chapter 14 - Waves and Sound - Problems and Conceptual Exercises - Page 496: 97

Answer

$9.0Km$

Work Step by Step

As we know that $E=mgh$ $E=(0.55\times 10^{-3})(9.81)(0.28)=1.51\times 10^3J$ Now $P=\frac{E}{t}=\frac{1.51\times 10^3}{1.5}=1.01\times 10^{-3}W$ We also know that $I_{\circ}=\frac{P}{4\pi r^2}$ This can be simplified and rearranged as: $r=\sqrt{\frac{P}{4\pi rI_{\circ}}}$ We plug in the known values to obtain: $r=\sqrt{\frac{1.01\times 10^{-3}}{4\pi(10^{-12})}}=9.0Km$
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