Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 5 - Exercises and Problems - Page 87: 42

Answer

Please see the work below.

Work Step by Step

(a) We know that the horizontal component of force is given as $F_h=\frac{mv^2}{r}$ We plug in the known values to obtain: $F_h=\frac{(45)(6.3)^2}{5.0}=357.21N$ The vertical component of the force is given as $F_v=mg$ We plug in the known values to obtain: $F_v=(45)(9.8)=441N$ (b) The required angle is given as $\theta=tan^{-1}(\frac{F_v}{F_h})$ $\theta=tan^{-1}(\frac{441}{357.21})=51^{\circ}$
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