Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 5 - Circular Motion; Gravitation - Problems - Page 132: 1

Answer

a. $1.01 \frac{m}{s^2}$ b. 22.7 N

Work Step by Step

a. Use equation 5–1 to find the centripetal acceleration. $$a_R=\frac{v^2}{r}=\frac{(1.10 m/s)^2}{1.20 m} \approx 1.01 \frac{m}{s^2}$$ The answer is rounded to 3 significant figures. b. The net horizontal force is the centripetal force that causes the circular motion. $$F_{net}=ma_R=\frac{mv^2}{r}=\frac{(22.5 kg)(1.10 m/s)^2}{1.20 m} \approx 22.7 N$$ The answer is rounded to 3 significant figures.
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