The electrostatic force between protons is how many times stronger than gravitational force.

Given Data: Determine by how many times is the electrostatic force between protons is stronger than its gravitational force.

Formula Used: $F_{\text{electrostatic }}=\frac{k{q}^2}{r^2}$, $F_{\text{gravitational }}=\frac{G{m}^2}{r^2}$

Detailed Solution:

So, for two protons, the ratio of electrostatic force to gravitational force is given by,

$\frac{F_{\text{electrostatic }}}{F_{\text{gravitational }}}=\frac{\frac{k{q}_p^2}{r^2}}{\frac{G{m}_p^2}{r^2}}=\frac{k{q}_p^2}{G{m}_p^2}$

Substituting the universal values, we get,

$\frac{F_e}{F_g}=\frac{\left(9\times {10}^9\right)\times {\left(1.6\times {10}^{-19}\right)}^2}{\left(6.7\times {10}^{-11}\right)\times {\left(1.67\times {10}^{-27}\right)}^2}\approx {10}^{36}$