constant velocity means no acceleration, which means zero net force
so the third force is equal in magnitude to the resultant of the given forces; but opposite in direction
the magnitude of the resultant of the given forces is __ sqrt(61.9^2 + 52.0^2)
the tangent of the angle of the resultant (north of west) is __ 61.9/52.0
Three forces act on a moving object. One force has a magnitude of 61.9 N and is directed due north. Another has a magnitude of 52.0 N and is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues to move with a constant velocity? Express your answer as a positive angle south of east.
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