Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 6 - Force and Motion-II - Problems - Page 144: 52d

Answer

$F_B$ is directed down.

Work Step by Step

We can find the required centripetal force to keep the car moving in a circle: $F = \frac{mv^2}{r}$ $F = \frac{(5000~N/9.8~m/s^2)(12~m/s)^2}{10~m}$ $F = 7300~N$ Note that at the top of the circle, the centripetal force is directed straight down. Let downward forces be positive. We can find the force $F_B$: $mg+F_B = 7300~N$ $F_B = 7300~N-mg$ $F_B = 7300~N-5000~N$ $F_B = 2300~N$ Since $F_B$ is positive, $F_B$ is directed down.
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