Physics Technology Update (4th Edition)

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

Chapter 6 - Applications of Newton's Laws - Problems and Conceptual Exercises - Page 184: 81

Answer

(a) $23N$ (b) stay the same

Work Step by Step

(a) We can find the frictional force as follows: $f_s=Tcos45^{\circ}$ and $Tsin45^{\circ}=m_bg$ This can be rearranged as: $T=\frac{m_B g}{sin45^{\circ}}$ We plug in the known values to obtain: $T=\frac{(2.33)(9.81)}{sin 45^{\circ}}$ $T=32.3N$ Now $f_s=Tcos45^{\circ}$ We plug in the known values to obtain: $T=(32.3)(0.707)$ $T=23N$ (b) As $f_s=Tcso45^{\circ}$, this equation shows that the frictional force does not depend on the mass. Thus, the frictional force will stay the same.
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