1. A physicist wanders 180 m west, 210 m southeast, and then 280 m at 30...
1. A physicist wanders 180 m west, 210 m southeast, and then 280 m at 30 ° east of north. After a fourth displacement, the physicist finds himself back where he started. Graph a scale drawing and determine graphically the magnitude and direction of the fourth displacement.
Homework Answers
Assuming north-south direction along Y-axis and east-west direction along x-axis
Ax = -180
Ay = 0 m
Bx = 210 Cos45 = 148.5 m
By = - 210 Sin45 = - 148.5 m
Cx = 280 Cos45 = 148.5 m
Cy = 280 Sin45 = 148.5 m
Dx = ?
Dy = ?
Ax + Bx + Cx + Dx = 0
- 180 + 148.5 + 148.5 + Dx = 0
Dx = - 117 m
Ay + By + Cy + Dy = 0
0 - 148.5 + 148.5 + Dy = 0
Dy = 0 m
magnitude : sqrt(Dx2 + Dy2) = sqrt((- 117)2 + (0)2) = 117 m
direction : 
= 180 deg
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