Physics Technology Update (4th Edition)

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

Chapter 9 - Linear Momentum and Collisions - Problems and Conceptual Exercises - Page 294: 83

Answer

$X_{CM}=6.5\times 10^{-12}m;Y_{CM}=0$

Work Step by Step

We can find the center of mass as follows: Due to the symmetry $Y_{CM}=0$ and $X_{CM}=\frac{m_1x_1+m_2x_2}{m_1+m_2}$ We plug in the known values to obtain: $X_{CM}=\frac{2(1.0u)(9.6\times 10^{-11}m)cos(\frac{104.5^{\circ}}{2})+(16u)(0)}{2(1.0u)+16u}$ $X_{CM}=6.5\times 10^{-12}m$
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