University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 6 - Work and Kinetic Energy - Problems - Exercises - Page 195: 6.12

Answer

(a) W = 324 J (b) W = -324 J (c) W = 0

Work Step by Step

(a) Since the monitor moves at a constant speed, the force of friction must be equal in magnitude to the component of the weight directed down the ramp. $W = F_f~d$ $W = mg~sin(\theta)~d$ $W = (10.0~kg)(9.80~m/s^2)~sin(36.9^{\circ})(5.50~m)$ $W = 324~J$ (b) We can find the work done by gravity. $W = mg~d~cos(126.9^{\circ})$ $W = (10.0~kg)(9.80~m/s^2)(5.50~m)~cos(126.9^{\circ})$ $W = -324~J$ (c) Since the normal force acts at a $90^{\circ}$ angle to the direction of motion, the normal force does zero work.
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