Answer:
[tex]F_e = 0.0147\ N[/tex]
Explanation:
given,
mass of balloons, m = 2 g
Length of the string, L = 0.5 m
angle made with vertical,θ = 37°
Magnitude of electric force, F = ?
Let F_e be the magnitude of the electric force between the balloons.
T cos 37° = mg----------(1)
T sin 37° = Fe------------(2)
dividing equation (2) by (1)
[tex]\dfrac{sin 37^0}{cos 37^0}=\dfrac{F_e}{m g}[/tex]
[tex]F_e =m g tan 37^0[/tex]
[tex]F_e = 0.002\times 9.8\times tan 37^0[/tex]
[tex]F_e = 0.0147\ N[/tex]
Magnitude of force between the two electric force is equal to [tex]F_e = 0.0147\ N[/tex]