Physics (10th Edition)

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

Chapter 7 - Impulse and Momentum - Check Your Understanding - Page 177: 5

Answer

b) is correct.

Work Step by Step

The impulse-momentum theorem states that $$J=mv_f-mv_0$$ As you jump straight down from the same height in both cases, your mass $m$, initial velocity, $v_0$, and final velocity $v_f$ are the same in both cases, too. So, the sand and the water exert the same impulse on you. We also have $J=\overline F\Delta t$ Because the impulse is the same but $\Delta t$ for sand is smaller than $\Delta t$ for water, $\overline F$ for sand is greater than $\overline F$ for water. In other words, the sand exerts a greater average force on you. b) is correct.
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