Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 7 - Think and Explain: 86

Answer

If mass stays the same while velocity doubles, the momentum mv turns into m(2v), and increases by a factor of 2. The KE, $\frac{1}{2}mv^{2}$, becomes $\frac{1}{2}m(2v)^{2}$ and increases by a factor of 4. Momentum is proportional to an object's speed, and KE is proportional to the square of the speed.
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