Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 9 - Impulse and Momentum - Exercises and Problems: 21

Answer

Dan's speed when he lands on the ground is 3.6 m/s

Work Step by Step

We can use conservation of momentum to find Dan's final speed $v_f$. Let's consider the system of Dan and the skateboard. Let $m_D$ be Dan's mass. Let $m_s$ be the mass of the skateboard. $p_f = p_0$ $m_D~v_f+m_s~(8.0~m/s) = (m_D+m_s)~v_0$ $v_f = \frac{(m_D+m_s)~v_0 - m_s~(8.0~m/s)}{m_D}$ $v_f = \frac{(50~kg+5.0~kg)(4.0~m/s) -(5.0~kg)(8.0~m/s)}{50~kg}$ $v_f = 3.6~m/s$ Dan's speed when he lands on the ground is 3.6 m/s.
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.