Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 9 - Center of Mass and Linear Momentum - Problems - Page 252: 60b

Answer

Since $v_{Af}$ is positive, the direction of $v_{Af}$ is also to the right.

Work Step by Step

We can use conservation of momentum to find the velocity $v_{Af}$: $p_f = p_i$ $m_A~v_{Af}+m_B~v_{Bf} = m_A~v_{Ai}+ m_B~v_{Bi}$ $m_A~v_{Af} = m_A~v_{Ai}+ m_B~v_{Bi}-m_B~v_{Bf}$ $v_{Af} = \frac{m_A~v_{Ai}+ m_B~v_{Bi}-m_B~v_{Bf}}{m_A}$ $v_{Af} = \frac{(1.6~kg)~(5.5~m/s)+ (2.4~kg)~(2.5~m/s)-(2.4~kg)~(4.9~m/s)}{1.6~kg}$ $v_{Af} = 1.9~m/s$ Since $v_{Af}$ is positive, the direction of $v_{Af}$ is also to the right.
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