Forces 50N and 80N act on a body as shown in the diagram. Find, correct to the nearest whole number, the horizontal component of the resultant force.
-
A.
13N -
B.
43N -
C.
57N -
D.
95N
Correct Answer: Option A
Explanation
Given a force F, the horizontal component = (Fcos theta)
R = (-50cos 30 + 80cos 45)
= (-50(frac{sqrt{3}}{2}) + 80(frac{sqrt{2}}{2}))
= ( -25sqrt{3} + 40sqrt{2} = -43.30 + 56.67 )
= (13.37N approxeq 13N)