Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 9 - Work and Kinetic Energy - Exercises and Problems - Page 228: 31

Answer

$v = 1360~m/s$

Work Step by Step

We can find the kinetic energy of one helium atom. $KE = \frac{3700~J}{6.02\times 10^{23}~atoms}$ $KE = 6.146\times 10^{-21}~J$ We can find the speed of each helium atom. $\frac{1}{2}mv^2 = KE$ $v^2 = \frac{2~KE}{m}$ $v = \sqrt{\frac{2~KE}{m}}$ $v = \sqrt{\frac{(2)(6.146\times 10^{-21}~J)}{6.68\times 10^{-27}~kg}}$ $v = 1360~m/s$
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