Part A ± Two Forces Acting at a Point What is the x component of the resultant f
ID: 1330389 • Letter: P
Question
Part A ± Two Forces Acting at a Point What is the x component of the resultant force? Express your answer in newtons. s, F1 and F2, act at a point. F1 has a Two forces, 1 and 2 magnitude of 8.60 N and is directed at an angle of 60.0 o above the negative x axis in the second quadrant. F2 has a magnitude of 6.80 N and is directed at an angle of 54.1below the negative x axis in the third quadrant. F1 and P2, act at a point. 1 Submit Hints My Answers Give Up Review Part Part B What is the y component of the resultant force'? Express your answer in newtons. Submit Hints My Answers Give Up Review Part Part C What is the magnitude of the resultant force? Express your answer in newtons.Explanation / Answer
Resolve the two forces into their x and y components:
Force, F1 is as follows:
Fx1 = ( 8.60 N) cos (60o) = 4.3 N
Fy1 = (8.60 N) sin (60o) = -7.447 N
Force F2 is as follows:
Fx2 = (6.80 N) cos(54.1o) = 3.987 N
Fy2 = (6.80 N) sin(54.1o) = 5.508 N
Add the x components together and the y components to together to find the resultant force’s x and y components:
Fx1 + Fx2 = x-component
Fy1 + Fy2 = y-component
x-component = 8.287 N
and
y-component = -1.939 N
To find the resultant force’s magnitude, you just solve for the Pythagorean Theorem to get the scalar value and use the inverse tangent (or any other trig function) to get the direction:
(8.287 N)2 + (-1.939 N)2 = F2
Fresultant = 8.51 N
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