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: 7

Answer

(a) $v_x = 3.8~m/s$ $v_y = 6.5~m/s$ (b) $a_x = -1.3~m/s^2$ $a_y = 0.75~m/s^2$ (c) $F_x = -30.0~N$ $F_y = 40.0~N$

Work Step by Step

(a) $v_x = v~sin(\theta)$ $v_x = (7.5~m/s)~sin(30^{\circ})$ $v_x = 3.8~m/s$ $v_y = v~cos(\theta)$ $v_y = (7.5~m/s)~cos(30^{\circ})$ $v_y = 6.5~m/s$ (b) $a_x = -a~cos(\theta)$ $a_x = -(1.5~m/s^2)~cos(30^{\circ})$ $a_x = -1.3~m/s^2$ $a_y = a~sin(\theta)$ $a_y = (1.5~m/s^2)~sin(30^{\circ})$ $a_y = 0.75~m/s^2$ (c) $F_x = -F~sin(\theta)$ $F_x = -(50.0~N)~sin(36.9^{\circ})$ $F_x = -30.0~N$ $F_y = F~cos(\theta)$ $F_y = (50.0~N)~cos(36.9^{\circ})$ $F_y = 40.0~N$
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