Two forces act on anobject. One force is 6.55 N west and the other is 8.44 N nor

Question

Two forces act on anobject. One force is 6.55 N west and the other is 8.44 N north.What is the magnitude and direction of the resultantforce? Im not quite sure how todo this question though I think it uses pythagerous and the tangentfunction, how is this question done? Two forces act on anobject. One force is 6.55 N west and the other is 8.44 N north.What is the magnitude and direction of the resultantforce? Im not quite sure how todo this question though I think it uses pythagerous and the tangentfunction, how is this question done?

Explanation / Answer

For the resultant force you would use the pathagorean theorem. 6.55^2 + 8.44^2 = resultant^2 (6.55^2 + 8.44^2) = resultant = 10.68N For the direction, imagine the x,y plane. West would then be thenegative x direction and north would be the positive y direction.To find direction we use the inverse tangent function. Arctan( y / x ) = resultant angle Arctan(8.44 / -6.55) = -52* From the positive x direction, the angle would be 128 degreesccw From the negative x direction it would be 52 degrees cw In NSWE, it would be 38 degrees west of north

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