College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 2 - Problems - Page 65: 26

Answer

$A_x = 6.6~m$ $A_y = 2.4~m$ $B_x = 6.6~N$ $B_y = -2.4~N$ $C_x = -2.4~m$ $C_y = 6.6~m$ $D_x = -2.4~N$ $D_y = -6.6~N$

Work Step by Step

We can find the x- and y-components of vector A: $A_x = (7.0~m)~cos(20.0^{\circ}) = 6.6~m$ $A_y = (7.0~m)~sin(20.0^{\circ}) = 2.4~m$ We can find the x- and y-components of vector B: $B_x = (7.0~N)~cos(20.0^{\circ}) = 6.6~N$ $B_y = -(7.0~N)~sin(20.0^{\circ}) = -2.4~N$ We can find the x- and y-components of vector C: $C_x = -(7.0~m)~sin(20.0^{\circ}) = -2.4~m$ $C_y = (7.0~m)~cos(20.0^{\circ}) = 6.6~m$ We can find the x- and y-components of vector D: $D_x = -(7.0~N)~sin(20.0^{\circ}) = -2.4~N$ $D_y = -(7.0~N)~cos(20.0^{\circ}) = -6.6~N$
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