Two forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 55.0 ∘ above the negative x a

Question

3 years ago

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Two forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 55.0 ∘ above the negative x a

xis in the second quadrant. F2 has a magnitude of 7.00 N and is directed at an angle of 53.2 ∘ below the negative x axis in the third quadrant. What is the x component Fx of the resultant force?

Physics

1 answer:

9966 [12] · Answer 1 · 2022-06-07T19:05:37+03:00

9966 [12]3 years ago

5 0

Answer:9.125 N

Explanation:

Given

Magnitude of Force $F_1=8.60 N$ at angle of $55^{\circ}$ above negative x axis

Magnitude of Force $F_2=7 N$ at angle of $53.2^{\circ}$ below negative x axis

$\theta _1=180^{\circ}-55^{\circ}=125^{\circ}$

$\theta _2=180^{\circ}+53.2^{\circ}=233.2^{\circ}$

Thus net force in x direction

$F_x=F_1\cos \theta _1+F_2\cos \theta _2$

$F_x=8.6\times \cos (125)+7\times \cos (233.2)$

$F_x=-9.1251 N$ towards negative x axis