Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 9 - Exercises and Problems: 67

Answer

$120^{\circ}$

Work Step by Step

We know that the two initial objects have same mass and speed and that they collide to have half of the speed, meaning that they both have the same angle between each other. Thus, we must find this angle and multiply by two. Using conservation of momentum, we find: $cos \theta = \frac{1}{2}\\ \theta = 60^{\circ}$ This means that the overall angle is: $60^{\circ} \times 2 = 120^{\circ}$
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