Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 9 - Exercises and Problems - Page 172: 45

Answer

$m_{bowl}=4m_{mouse}$

Work Step by Step

Please see the attached image below. Here we use the principle of conservation of momentum. $\rightarrow m_{1}u_{1}+m_{2}u_{2}=m_{1}V_{1}+m_{2}V_{2}$ Let's plug known values into this equation. $0+0=m_{1}\frac{(\frac{D}{2}-\frac{D}{10})}{t}+m_{2}\frac{(\frac{-D}{10})}{t}$ $\frac{m_{2}D}{10}= m_{1}(\frac{5D-D}{10})=\gt m_{2}=4m_{1}$ $$m_{bowl}=4m_{mouse}$$
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