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 - Discussion Questions - Page 262: Q8.2

Answer

Iā€™d rather catch the bowling ball when it is given the same momentum as the baseball.

Work Step by Step

Kinetic energy can be written in terms of the momentum. $$KE=\frac{1}{2}mv^2=\frac{(mv)^2}{2m}=\frac{p^2}{2m}$$ We see that for equal momentum-objects, the larger-mass object carries less kinetic energy. In other words, if a baseball and a bowling ball are given the same momentum, the bowling ball carries much less energy, and so it is much easier to bring it to rest.
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