Physics: Two forces, F1 vec and F2 vec, act at a point. F1 vec has a magnitude of 9.60 N and is directed at an angle of 55.0∘ above the negative x axis in the second quadrant. F2 vec has a magnitude of 5.40 N and is directed at an angle of 53.1∘ below the negative x axis in the third quadrant. A. What is the x component of the resultant force?B. What is the y component of the resultant force?C. What is the magnitude of the resultant force?

0.15864 JExplanation:m = Mass of toy = 50 gA = Amplitude = 6 cmx = Compression of spring = 3.7 cm = Maximum velocity = 3.2 m/sThe kinetic energy of the system is given byThe kinetic energy of the toy is 0.15864 J...

Two forces, F1 vec and F2 vec, act at a point. F1

Ответ:

P05182010

20.01.2022

Physics

A. F_x=-8.74N

B. F_y=3.55N

C. F=9.43N

Explanation:

First, we break down the two vectors F₁ and F₂ into their components. In order to do that, we have to use trigonometry:

$F_{1x}=F_1\cos\theta_1\implies F_{1x}=-9.60N\cos55.0\°=-5.50N\\\\F_{1y}=F_1\sin\theta_1\implies F_{1y}=9.60N\sin55.0\°=7.86N\\\\\\F_{2x}=F_2\cos\theta_2\implies F_{2x}=-5.40N\cos53.1\°=-3.24N\\\\F_{2y}=F_2\sin\theta_2\implies F_{2y}=-5.40N\sin53.1\°=-4.31N\\\\$

(Note: $F_{1x}$ , $F_{2x}$ and $F_{2y}$ are negative because the vectors are in the second and third quadrant, respectively. So those components must be negative)