Three forces act on a moving object. One force has a magnitude of 76.5 N and is directed due north. Another has a magnitude of 46.3 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.

Question

Three forces act on a moving object. One force has a magnitude of 76.5 N and is directed due north. Another has a magnitude of 46.3 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.

Damon · Answer

Find the resultant of the two perpendicular forces |F| = sqrt (76.5^2+46.3^2) tan A = 76.5/46.3 where A is angle north of west our force is equal and opposite same |F| same angle but south of east