Answer
If one ball popped out with twice the speed, momentum would be conserved.
$$mv + mv = m(2v)$$
However, energy would not be conserved, so this can never happen.
$$ \frac{1}{2}mv^{2} + \frac{1}{2}mv^{2}$$
Conceptual Physics (12th Edition)
by Hewitt, Paul G.
Published by
Addison-Wesley
ISBN 10:
0321909100
ISBN 13:
978-0-32190-910-7
Chapter 7 - Think and Discuss - Page 130-131: 120
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