Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 9 - Linear Momentum and Collisions - Conceptual Questions - Page 189: 2

Answer

Kinetic energy: x4 Momentum: x2

Work Step by Step

As $K.E=\frac{1}{2}mv^2$ According to given condition $K.E^{\prime}=\frac{1}{2}m(2v^2)=4(\frac{1}{2}mv^2)=4K.E$ Thus, kinetic energy increases by a factor of 4. Momentum is given as $p=mv$ according to given condition $p^{\prime}=m(2v)=2(mv)=2p$ Thus, momentum doubles.
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