check the ratio ke^2/Gme.mp is dimensionless.

F_e = ke²/R² and F_g = Gm_em_p/R²,

Conside graviational and electrostatic force between a proton and an electron. The ratio of two forces,

F_e/F_g = ke²/Gm_em_p , as we see it's the ratio of two forces it's dimensionless.

(9x10⁹)(1.6x10^-19)²/(6.67x10^-11x9.1x10^-31x1.678x10^-27) = 10⁴⁰

The ratio signify that the electrostatic force is 10⁴⁰ higher than the gravitational force.

Regards,

Team,

TopperLearning.