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: 3

Answer

$\frac{v_{son}}{v_{mother}} = 2$

Work Step by Step

Let $m$ be the mass of the son. Let $4m$ be the mass of the mother. We can equate the kinetic energy of the son and the kinetic energy of the mother to find the ratio of their speeds. $KE_{son} = KE_{mother}$ $\frac{1}{2}mv_{son}^2 = \frac{1}{2}(4m)v_{mother}^2$ $\frac{v_{son}^2}{v_{mother}^2} = 4$ $\frac{v_{son}}{v_{mother}} = 2$
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