± Two Forces Acting at a Point Two forces, F 1 and F 2, act at a point. F 1 has

Question

± Two Forces Acting at a Point

Two forces, F 1 and F 2, act at a point. F 1 has a magnitude of 8.00 N and is directed at an angle of 58.0 above the negative x axis in the second quadrant. F 2 has a magnitude of 7.00 N and is directed at an angle of 53.1 below the negative x axis in the third quadrant.

Part A

What is the x component of the resultant force?

Express your answer in newtons.

Part B

What is the y component of the resultant force?

Express your answer in newtons.

Part C

What is the magnitude of the resultant force?

Express your answer in newtons.

Explanation / Answer

1) F1x = -8.0*cos(58) = -4.23N
F2x = -7*cos(53.1) = -4.20

Fx = F1x + F2x = -8.43 N

2) F1y = 8.0*sin(58) = 6.78
F2y = -7*sin(53.1) = -5.59

Fy = F1y + F2y = 1.18N

3) |F| = sqrt(Fx^2 + Fy^2) = 8.91 N

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