Physics: Principles with Applications (7th Edition)

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

Chapter 4 - Dynamics: Newton's Laws of Motion - Misconceptual Questions - Page 100: 4


Choice D.

Work Step by Step

To hold the backpack up, the rope exerts a vertical upward force that balances the pack’s weight. The force exerted by the rope on the pack is directed along the rope itself. For each side, the vertical component of this force is $F sin \theta$, where $\theta$ is the small angle between the rope and the horizontal. The higher the pack rises, the smaller the angle, and the larger the force F must become to balance the pack against gravity. The rope can never be perfectly horizontal because there must be an upward component of force on the pack.
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