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Three forces act on a moving object. One force has a magnitude of 82.0 N and is

ID: 1359039 • Letter: T

Question

Three forces act on a moving object. One force has a magnitude of 82.0 N and is directed due north. Another has a magnitude of 64.0 N and is directed due west. What must be the magnitude and direction of the third force, such that the object continues to move with a constant velocity?

° south of east

I can't get the correct direction for this. I have tried arc tan of 82.0/64.0, but it doesn't seem to make much sense.

magnitude 104 N direction

° south of east

I can't get the correct direction for this. I have tried arc tan of 82.0/64.0, but it doesn't seem to make much sense.

Explanation / Answer

F3 should be = east is +i

64 i - 82j

F = sqrt(64^2 + 82^2)

F = 104 N

direction = tan^-1(82/64)

theta = 52.03 south of east