Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 5 - Force and Motion-I - Problems: 97c



Work Step by Step

To find the angle that the vector Fnet = 1N i + -2Nj makes with the x axis, we need to use trigonometry. We start at the origin and make a right triangle with a base of 1 unit (because of the 1N i) and a height of 2N (because of the -2N j) and then we find the angle. To do this we use the fact that $tan(\theta) = opposite/adjacent = y/x $ therefore $tan(\theta) = 2/1 $ and therefore $\theta = 63.4^{\circ}$. However, since the x is positive and the y is negative, we are in quadrant IV, therefore the angle we make with the x axis is negative so the answer is -63.4
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