University Physics with Modern Physics (14th Edition)

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

Chapter 1 - Units, Physical Quantities, and Vectors - Problems - Exercises - Page 30: 1.63

Answer

7.55N

Work Step by Step

Because both pulls have both equal magnitudes and angles relative to the patient's arm, each pull will contribute half of the horizontal force. So, if both pulls together must contribute 12.8N on the patient's arm, each one must contribute 6.4N. We can create a right triangle out of each pull, with the pull being the hypotenuse, and the horizontal an vertical components being the legs. So, if we know that the hypotenuse has a value of 6.4N and that it makes a 32 degree angle with the horizontal leg, and we want to find the value of the horizontal leg(x), we can say: cos(32) = 6.4/x so x = 6.4/cos(32) x = 7.55N
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