University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 5 - Applying Newton's Laws - Problems - Exercises - Page 163: 5.45


(a) $F_N = 62~N$ (b) $F_N = 30~N$

Work Step by Step

(a) $\sum F = \frac{mv^2}{r}$ $F_N-mg = \frac{mv^2}{r}$ $F_N = \frac{mv^2}{r}+mg$ $F_N = \frac{(1.60~kg)(12.0~m/s)^2}{5.00~m}+(1.60~kg)(9.80~m/s^2)$ $F_N = 62~N$ (b) $\sum F = \frac{mv^2}{r}$ $F_N+mg = \frac{mv^2}{r}$ $F_N = \frac{mv^2}{r}-mg$ $F_N = \frac{(1.60~kg)(12.0~m/s)^2}{5.00~m}-(1.60~kg)(9.80~m/s^2)$ $F_N = 30~N$
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