Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 7 - Linear Momentum - Misconceptual Questions: 9

Answer

Choice D.

Work Step by Step

This question is a good review of the relationships among force, time, momentum, work, and KE. Impulse delivered is the force multiplied by the time over which the force is acting. For an object with zero initial momentum (starting at rest), the impulse is the final momentum. The same force acts for the same time on both vehicles, so they have the same final momentum. The KE of an object can be expressed in terms of its momentum. $$KE = \frac{1}{2}mv^{2} = \frac{(mv)^{2}}{2m} = \frac{p^{2}}{2m} $$ We see that if 2 objects have the same momentum, the less massive object has a larger kinetic energy. Choice D summarizes the situation.
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