College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 4 - Force and Motion - Learning Path Questions and Exercises - Exercises - Page 137: 38


(a) (1) less than the weight of the object. (b) Weight= 98 N, Normal force= 85 N.

Work Step by Step

(a) $W=mg$ $N=mg\cos\theta$ As the plane is inclined, $\theta$ can't be 0. Therefore, $\cos\theta$ will always be less than 1. In other words, $mg\cos\theta\lt mg$ Or $N\lt W$. The normal force is (1) less than the weight of the object if it is placed in an inclined plane. (b) $Weight=mg=10\,kg\times9.8\,m/s^{2}=98\,N$ Normal force $N=mg\cos\theta =10\,kg\times9.8\,m/s^{2}\times\cos 30^{\circ}=85\,N$
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