Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 5 - Newton's Laws of Motion - Problems and Conceptual Exercises - Page 143: 50

Answer

(a) $312N$ (b) increase

Work Step by Step

We know that in the given scenario $Mg+Fsin35^{\circ}-N=0$ $\implies N=Mg+Fsin35^{\circ}$ We plug in the known values to obtain: $N=(19)(9.81)+(219)(0.5736)$ $N=312N$ (b) Since $N=Mg+Fsin35^{\circ}$, this equation shows us that the normal force is directly proportional to $sin\theta$. Thus, the normal force will increase if the angle is increased.
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