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: 13

Answer

Option (b) is the correct answer.

Work Step by Step

When the elevator is moving with a constant velocity, the scale shows the person's true weight. So $W_{true}=mg=600N$ As the elevator decelerates $(a\lt 0)$ while still going upward (in the direction of normal force $F_N$), according to Newton's 2nd law, we have $$F_N-mg=-ma$$ As the right side is negative, we have $F_N\lt mg$, so $F_N\lt600N$ When the elevator accelerates $(a\gt 0)$ on the way down (in the direction of the person's weight), according to Newton's 2nd law, we have $$mg-F_N=ma$$ As the right side is positive, we have $F_N\lt mg$, so $F_N\lt600N$ Therefore, option (b) is the correct answer.
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