Physics Technology Update (4th Edition)

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

Chapter 5 - Newton's Laws of Motion - Problems and Conceptual Exercises: 7

Answer

(a) Less than. (b) Choice III

Work Step by Step

Assume that the force of drag is proportional to velocity. This means that the net force is equal to weight minus drag, which would be $F=mg-kv$, where $k$ is a constant. The acceleration would be equal to $a=\frac{F}{m}=\frac{mg-kv}{m}=g-\frac{k}{m}v$. As mass increases, acceleration becomes larger and the drag force becomes less effective. Therefore, the time it takes for the Ball 1 to reach the ground will be less than the time for Ball 2.
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