# physics

Before starting this problem, review Conceptual Example 7. The force vector A has a magnitude of 97.0 newtons (N) and points due east. The force vector B has a magnitude of 107 N and points 71.4 ° north of east. Find the (a) magnitude and (b) direction of A - B. (Give the direction as a positive angle with respect to due east). Find the (c) magnitude and (d) direction of B - A. (Give the direction as a positive angle with respect to due west).

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1. F = 97N - 107N[71.4]
Fx = 97 - 107*Cos71.4 = 62.87 N.
Fy = 0 - 107*sin71.4 = -101.4 N.

a. F^2 = Fx^2 + Fy^2=62.87^2 + (-101.4^2) = 119.3 N.
F = N.

b. Tan A = Fy/Fx = -101.4/62.87 = -1.61285
A = -58.2o S of E = 301.8o CCW

c. 107N[71.4o] - 97

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posted by Henry

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