Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 3 - Vectors and Coordinates Systems - Exercises and Problems: 5

Answer

The y-component of the vector is 8 m.

Work Step by Step

Since the vector is in the first quadrant, the y-component of the vector is positive. Therefore, $x^2+y^2 = (10~m)^2$ $y^2 = (10~m)^2 - x^2$ $y = \sqrt{(10~m)^2 - x^2}$ $y = \sqrt{(10~m)^2 - (6~m)^2}$ $y = 8~m$ The y-component of the vector is 8 m.
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