Respuesta :
[tex]{T sin \theta}[/tex]Answer:
 q = 27.16 C
Explanation:
For this exercise we use the equations of equilibrium. Let's set a reference system with the x-axis horizontally.
X axis
      F_e - Tₓ = 0
Axis y
      T_y -W = 0
let's use trigonometry
      cos θ = T_y / T
      sin θ= Tx / T
      T_y = T cos θ
      Tₓ = T sin θ
Axis y
      T cos θ = W
      T = mg / cos θ
X axis
      F_e = T sin θ
      qE = T sin θ
      q =  [tex]\frac{T sin \theta}{E}[/tex] Â
      q = [tex]\frac{mg}{cos \theta } \frac{sin \thrta }{E}[/tex]
      q = [tex]\frac{mg}{E} tan \theta[/tex]
in the exercise they indicate that the electric field is the month of birth E = 8 N / C and the angle tea = 30º
      Â
let's calculate
       q = 0.2 9.8 8 / tan 30
       q = 27.16 C