Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 9 - Impulse and Momentum - Exercises and Problems - Page 242: 48

Answer

$0.0214\;\rm m/s$

Work Step by Step

We have here an isolated system [the bullet+the target] since the surface is frictionless and since there are no external forces exerted on our system horizontally. This means that the momentum is conserved. We assume that the target will not move until the bullet comes out from the other side since it is too heavy relative to the bullet. $$p_{ix}=p_{fx}$$ $$m_bv_{b,ix}+m_tv_{t,ix}=m_bv_{b,fx}+m_tv_{f,ix}$$ the heavy target was initially at rest. $$m_bv_{b,ix}+0=m_bv_{b,fx}+m_tv_{t,fx}$$ Solving for $v_{t,fx}$; $$v_{t,fx}=\dfrac{m_bv_{b,ix}-m_bv_{b,fx}}{m_t} $$ Plugging the known; $$v_{t,fx}=\dfrac{(0.025\times 1200)-(0.025\times 900)}{350} $$ $$v_{t,fx}=\color{red}{\bf 0.0214}\;\rm m/s$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.