Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 7 - Impulse and Momentum - Problems - Page 192: 18



Work Step by Step

At the start, 2 disks act as a system moving to the right with $\vec{v}_0=+5m/s$. After the spring is released, disk 1 is pushed leftward and comes to a halt after a while, so $\vec{v_{f1}}=0$. We need to find $\vec{v_{f2}}$ The principle of conservation of linear momentum states that $$(m_1+m_2)\vec{v_0}=m_1\vec{v_{f1}}+m_2\vec{v_{f2}}=m_2\vec{v_{f2}}$$ $$\vec{v_{f2}}=\frac{m_1+m_2}{m_2}\vec{v_0}$$ We have $\vec{v_{0}}=+5m/s$, $m_1=1.2kg$, and $m_2=2.4kg$. Therefore, $$\vec{v_{f2}}=+7.5m/s$$
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