## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 7 - Problems - Page 265: 48

#### Answer

After the collision, the final speed of the block and bullet is $5.0~m/s$

#### Work Step by Step

By conservation of momentum, the final momentum of the system is equal to the initial momentum. We can find the final speed $v_f$ of the block and bullet: $m_f~v_f = m_0~v_0$ $v_f = \frac{m_0~v_0}{m_f}$ $v_f = \frac{(0.050~kg)(100.0~m/s)}{0.050~kg+0.95~kg}$ $v_f = 5.0~m/s$ After the collision, the final speed of the block and bullet is $5.0~m/s$.

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