Physics (10th Edition)

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

Chapter 7 - Impulse and Momentum - Problems - Page 192: 11

Answer

The height the student falls is $6.7m$.

Work Step by Step

1) Find the speed of the student just before he hit the ground. Taking the speed of the student just before he hit the ground as the initial speed $v_0$, we examine the change in speed as he contacts the ground, $$\sum\vec{\overline F}\Delta t=m\vec{v}_f-m\vec{v}_0$$ We have $\vec{v_f}=0m/s$, so the average force exerted by the ground is $\vec{\overline F}=+18000N$; $m=63kg$ and $\Delta t=0.04s$. Therefore, we have $$\vec{v_0}=\frac{m\vec{v}_f-\vec{\overline F}\Delta t}{m}=-11.43m/s$$ $$v_0=11.43m/s$$ 2) Apply an equation of kinematics to find the height the student falls Take $v_0=0, v_f=11.43m/s, g=9.8m/s$ $$v_f^2=v_0^2+2gs$$ $$s=\frac{v_f^2-v_0^2}{2g}=6.7m$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.