Answer:
[tex]q=7.65*10^{-8}C[/tex]
Explanation:
Using Newton's second law, we calculate the magnitude of the electric force between the spheres:
[tex]F=ma\\F=0.5*10^{-3}kg(170\frac{m}{s^2})\\F=0.085N[/tex]
The magnitude of the charge in both spheres is the same. So, we calculate the charge, using Coulomb's law:
[tex]F=\frac{kq^2}{d^2}\\q=\sqrt\frac{Fd^2}{k}\\q=\sqrt\frac{(0.085N)(2.5*10^{-2}m)^2}{8.99*10^9\frac{N\cdot m^2}{C^2}}\\q=7.65*10^{-8}C[/tex]
