Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 3 - Vectors and Coordinate Systems - Exercises and Problems - Page 82: 7

Answer

(a) $v_x = 0$ $v_y = -10~m/s$ (b) $a_x = 17~m/s^2$ $a_y = -10~m/s^2$ (c) $F_x = -60.0~N$ $F_y = 80.0~N$

Work Step by Step

(a) $v_x = 0$ $v_y = -10~m/s$ (b) $a_x = a~cos(\theta)$ $a_x = (20~m/s^2)~cos(30^{\circ})$ $a_x = 17~m/s^2$ $a_y = -a~sin(\theta)$ $a_y = -(20~m/s^2)~sin(30^{\circ})$ $a_y = -10~m/s^2$ (c) $F_x = -F~sin(\theta)$ $F_x = -(100~N)~sin(36.9^{\circ})$ $F_x = -60.0~N$ $F_y = F~cos(\theta)$ $F_y = (100~N)~cos(36.9^{\circ})$ $F_y = 80.0~N$
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