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 94: 12

Answer

(a) is correct.

Work Step by Step

The true weight of the suitcase is $mg=10\times9.8=98N$ When the elevator accelerates upward, normal force $F_N$ exceeds the true weight $mg$, as shown in Newton's 2nd law below: $$F_N-mg=ma$$ $$F_N=m(g+a)$$ Since $F_N$ is the value registered at the scale, $120N$ would be expected here. In contrast, when the elevator accelerates downward, normal force $F_N$ is smaller than the true weight $mg$, as shown in Newton's 2nd law below: $$mg-F_N=ma$$ $$F_N=m(g-a)$$ So the scale will read $75N$ here. Therefore, (a) is correct.
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