Physics (10th Edition)

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

Chapter 4 - Forces and Newton's Laws of Motion - Problems - Page 117: 78

Answer

$a=5.03m/s^2$

Work Step by Step

There are 3 forces acting on the motorcycle: propulsion force $P$, the weight of the motorcycle $mg\sin\theta$ and air resistance $R$. From the set-up of the forces as portrayed in the image, we have $$\sum F=P-mg\sin\theta-R$$ $$\sum F=3150N-(292\times9.8\times\sin30)N-250N$$ $$\sum F=1469.2N$$ The acceleration of the motorcycle is $$a=\frac{\sum F}{m_{motor}}=5.03m/s^2$$
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