University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 8 - Momentum, Impulse, and Collision - Problems - Exercises - Page 263: 8.5

Answer

(a) The magnitude of the net momentum is 22.5 kg m/s and the direction is to the left. (b) K = 838 J

Work Step by Step

(a) $p = m_1v_1+m_2v_2$ $p = (110~kg)(2.75~m/s)+(125~kg)(-2.60~m/s)$ $p = -22.5~kg~m/s$ The magnitude of the net momentum is 22.5 kg m/s and the direction is to the left. (b) $K = \frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2$ $K = \frac{1}{2}(110~kg)(2.75~m/s)^2+\frac{1}{2}(125~kg)(2.60~m/s)^2$ $K = 838~J$
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