In a hydrogen atom, an electron with a charge of $-1\mathrm{.}6$e$-19$ C orbits a proton with the same but positive charge at a distance $57$ picometers away $($that$\text{'}$s trillionths of a meter or $10^-12$¹² m$).$ What electric force F$,$ in nN $($nano Newton$),$ binds the two particles together?