Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 2 - Describing Motion: Kinematics in One Dimension - General Problems: 61

Answer

If the collapse distance of the car's front end is 1.19 meters, the person should not feel a deceleration of more than 30 g's.

Work Step by Step

$v_0 = (95 ~km/h)(\frac{1000 ~m}{1 ~km})(\frac{1 ~h}{3600 ~s}) = 26.4 ~m/s$ We can use the velocity $v_0$ to find the collapse distance $\Delta y$ of the car's front end: $\Delta y = \frac{v^2 - v_0^2}{2a}$ $\Delta y = \frac{0 - (26.4 ~m/s)^2}{(2)(30)(9.80 ~m/s^2)}$ $\Delta y = 1.19 ~m$ If the collapse distance of the car's front end is 1.19 meters, the person should not feel a deceleration of more than 30 g'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.