Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 5 - Dynamics of Uniform Circular Motion - Problems - Page 139: 28

Answer

$d=183.5m$

Work Step by Step

1) Find the radius $r$ the car's circular path must have for $v=34m/s$ We have $\tan\theta=\tan40$ and $g=9.8m/s^2$ $$\tan\theta=\frac{v^2}{rg}$$ $$r=\frac{v^2}{g\tan\theta}=140.58m$$ 2) The figure below provides a way to find $d$ using $r$ and the given angle of the inclined plane. We can easily see that $$d=\frac{r}{\cos40}=183.5m$$
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