A What is the x component of the resultant force BWhat is th

*A: What is the x component of the resultant force?

*B:What is the y component of the resultant force?

*C: What is the magnitude of the resultant force?

Two forces, F1 and F2, act at a point. F1 has a magnitude of 9.80 N and is directed at an angle of 59.0° above the negative x axis in the second quadrant. F2 has a magnitude of 7.00 N and is directed at an angle of 52.6° below the negative x axis in the third quadrant.

Solution

the x-compoent of the resultant force is,

      Fx = -F1x - F2x

          = -F1cos59 - F2cos52.6

          = -9.8*cos59 - 7*cos52.6

          = -9.3 N i^

the y-component of the resultant force is,

   Fy = F1y - F2y

        = F1sin59 - F2sin52.6

        = 9.8*sin59 - 7*sin52.6

        = 2.84 N j^

magnitude of the resultant force:

        F = sqrt[(-9.3)^2 + (2.84)^2] = 9.7 N