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 5 - Force and Motion - Exercises and Problems - Page 136: 34


(a) $a = 5~m/s^2$ (b) $a = 20~m/s^2$ (c) $a = 10~m/s^2$ (d) $a = 2.5~m/s^2$

Work Step by Step

We know that $F = ma$. We can express the acceleration as follows: $a = \frac{F}{m} = 10~m/s^2$ (a) $a_1 = \frac{(F/2)}{m}$ $a_1 = \frac{1}{2}~\frac{F}{m}$ $a_1 = \frac{10~m/s^2}{2}$ $a_1 = 5~m/s^2$ (b) $a_2 = \frac{F}{(m/2)}$ $a_2 = 2~\frac{F}{m}$ $a_2 = (2)(10~m/s^2)$ $a_2 = 20~m/s^2$ (c) $a_3 = \frac{(F/2)}{(m/2)}$ $a_3 = \frac{F}{m}$ $a_3 = 10~m/s^2$ (d) $a_4 = \frac{(F/2)}{(2m)}$ $a_4 = \frac{1}{4}~\frac{F}{m}$ $a_4 = \frac{10~m/s^2}{4}$ $a_4 = 2.5~m/s^2$
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