Respuesta :
Answer:
Option (b).
Explanation:
Two forces are acting perpendicularly on an object. We have, F₁ = 8.2 N and F₂ = 20.6 N
We need to find the net force acting on the object. When two forces are acting in perpendicular to each other, the net force on it is given by :
[tex]F=\sqrt{F_1^2+F_2^2} \\\\=\sqrt{8.2^2+20.6^2} \\\\=22.17\ N[/tex]
or
F = 22 N
Let [tex]\theta[/tex] is the angle. It can be given by :
[tex]\tan\theta=\dfrac{F_1}{F_2}\\\\\tan\theta=\dfrac{8.2}{20.6}\\\\=21.7^{\circ}[/tex]
or
[tex]\theta=22^{\circ}[/tex]
So, the net force is 22 N and the direction is 22° counterclockwise from F₁. Hence, the correct option is (b).
