Answer:
[tex]q=9.83\times 10^{-8}\ C[/tex]
Explanation:
Given that,
Mass of the two spheres, m₁ = m₂ = 1 g = 0.001 kg
Distance between spheres, d = 2.2 cm = 0.022 m
Acceleration of the spheres when they are released, [tex]a=180\ m/s^2[/tex]
Let q is the charge on each spheres. The force due to motion is balanced by the electrostatic force between the spheres as :
[tex]ma=k\dfrac{q^2}{d^2}[/tex]
[tex]q=\sqrt{\dfrac{mad^2}{k}}[/tex]
[tex]q=\sqrt{\dfrac{0.001\times 180\times (0.022)^2}{9\times 10^9}}[/tex]
[tex]q=9.83\times 10^{-8}\ C[/tex]
So, the magnitude of charge on each sphere is [tex]9.83\times 10^{-8}\ C[/tex]. Hence, this is the required solution.
