Physics (10th Edition)

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

Chapter 4 - Forces and Newton's Laws of Motion - Check Your Understanding - Page 110: 25

Answer

In arrangement (a), the force is greater.

Work Step by Step

In both cases, the acceleration of the boxes is similar, which is $$a=\frac{P}{m_1+m_2}$$ 1) Case a): To move with acceleration $a$, box 2 requires a force $F_{12}$ applied to it from box 1. According to Newton's 2nd law, we build a relationship between $F_{12}$ and $a$ $$F_{12}=m_2a$$ 2) Case b): Similarly, to move with acceleration $a$, box 1 requires a force $F_{21}$ applied to it from box 2. According to Newton's 2nd law, we again have $$F_{21}=m_1a$$ Since $m_2\gt m_1$, it follows that $F_{12}\gt F_{21}$, meaning in arrangement (a), the force is greater.
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