The ratio of electrostatic force F\(_E\) to gravitational force F\(_G\) between two protons each of charge e and mass m, at a distance d is
Electrostatic force = F\(_E\) = \(\frac{e^2}{4πε_od^2}\)
Gravitational force = F\(_G\) = \(\frac{Gm^2}{d^2}\)
\(\frac{F_E}{F_G}\) = \(\frac{\frac{e^2}{4πε_od^2}}{\frac{Gm^2}{d^2}}\) = \(\frac{e^2}{4πε_oGm^2}\)
NOTE: (d\(^2\)s canceled out)
There is an explanation video available below.
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