Comparing Electrostatic and Gravitational Forces

Question

A system consists of two identical particles each with charge $$+q$$ and mass $$m$$, and a third particle with charge $$-q$$ and mass $$2m$$. If the gravitational force between any two particles is $$F_g$$, what is the minimum magnitude of $$q$$ needed for the electrostatic forces to overcome gravitational collapse of the system?

Accepted Answer

$$q > \sqrt{20\pi \varepsilon_0 G m^2}$$

Answer

$$q > 2\sqrt{\pi \varepsilon_0 G m^2}$$

Answer

$$q > \sqrt{4\pi \varepsilon_0 G m^2}$$

Answer

Any non-zero value of q is sufficient

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