wo forces, F 1 and F 2, act at a point. F 1 has a magnitude of 8.60 N and is dir
ID: 1657658 • Letter: W
Question
wo forces, F 1 and F 2, act at a point. F 1 has a magnitude of 8.60 N and is directed at an angle of 64.0 above the negative x axis in the second quadrant. F 2 has a magnitude of 5.60 N and is directed at an angle of 52.3 below the negative x axis in the third quadrant.
A: What is the x component of the resultant force?
Express your answer in newtons.
B: What is the y component of the resultant force?
Express your answer in newtons.
C: What is the magnitude of the resultant force?
Express your answer in newtons.
Two Forces Acting at a Point Two forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 64.0 above the negative x axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of 52.3 below the negative x axis in the third quadrant.Explanation / Answer
components of forces
F1x = -8.6*cos64 = -3.77 N
F1y = 8.6*sin64 = 7.73 N
F2x = -F2*cos52.3 = -5.6*cos52.3 = -3.42 N
F2y = -F2*sin52.3 = -5.6*sin52.3 = -4.43 N
x component of resultant
Rx = F1x + F2x = -3.77 - 3.42
Rx = -7.19 N
y component of resultant
Ry = F1y + F2y = 7.73 - 4.43
Ry = 3.3 N
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(C)
magnitude R = sqrt(Rx^2 + Ry^2) = 7.91 N
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