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 - Problems - Page 118: 95


The tension has a magnitude of $121N$ and points upward.

Work Step by Step

When the jumper has a downward acceleration $a=7.6m/s^2$, she is under the influence of 2 forces: her weight $mg$ and the tension in the bungee cord $T$ As these 2 forces are opposite from each other, we have $$mg-T=ma$$ $$T=m(g-a)=55(9.8-7.6)=121N$$ As we say before, $T$ is in opposite direction from the jumper's weight, which means it points upward.
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