Please answer all three parts Two forces, and act at a point. has a magnitude of

Question

Please answer all three parts

Two forces, and act at a point. has a magnitude of 9.80N and is directed at an angle of 60.0 degree above the negative x axis in the second quadrant. has a magnitude of 6.40N and is directed at an angle of 52.8 degree below the negative x axis in the third quadrant. What is the x component of the resultant force? Express your answer in newtons. What is the y component of the resultant force? Express your answer in newtons. What is the magnitude of the resultant force? Express your answer in newtons.

Explanation / Answer

a) Fx = F1 cos?1 + F2 cos?2 --------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> Fx = -9.8 cos60 - 6.4 cos52.8 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> Fx = -8.7694 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> Fx = 8.77 N ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------v------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ b) Fy = F1 sin?1 + F2 sin?2 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> Fy = 9.8 sin60 - 6.4 sin52.8 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> Fy = 3.389257 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> Fy = 3.39 N --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- c) F = ?(Fx^2 + Fy^2) = ?(8.7694*8.7694+3.389257*3.389257) ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ ==> F = 9.40 N

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