Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 4 - Forces and Newton's Laws of Motion - Check Your Understanding - Page 101: 18

Answer

The rope tied to the tree sustains greater tension.

Work Step by Step

In the tug-of-war game, the tension in the rope $T$ is caused by the pulling force that each team of 5 people exerts on the rope. Since there are 2 teams pulling in opposite directions, there are 2 tension forces in equal magnitude but opposite direction balancing each other. When the rope is tied to the tree and pulled by 2 teams, the tension in the rope is caused by the pulling force that 10 people exert on the rope. It is obvious that the rope in this case sustains greater tension.
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