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 7 - Newton's Third Law - Exercises and Problems: 22

Answer

(a) The spring exerts a force of 4.0 N on glider A. (b) The spring exerts a force of 3.0 N on glider B.

Work Step by Step

We can find the acceleration of the system of glider A, the spring, and glider B. Let $M$ be the total mass of the system. $F = Ma$ $a = \frac{F}{M}$ $a = \frac{6.0~N}{0.400~kg+0.200~kg+0.600~kg}$ $a = 5.0~m/s^2$ (a) Let's consider the system of glider A. We can use a force equation to find the force $F_{sA}$ that the spring exerts on glider A. $\sum F = m_A~a$ $F-F_{sA} = m_A~a$ $F_{sA} = F-m_A~a$ $F_{sA} = (6.0~N)-(0.400~kg)(5.0~m/s^2)$ $F_{sA} = 4.0~N$ The spring exerts a force of 4.0 N on glider A. (b) Let's consider the system of glider B. Note that the force $F_{sB}$ that the spring exerts on glider B provides the force to accelerate glider B. $F_{sB} = m_B~a$ $F_{sB} = (0.600~kg)(5.0~m/s^2)$ $F_{sB} = 3.0~N$ The spring exerts a force of 3.0 N on glider B.
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