(Take $\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} Nm ^{2} C ^{-2}$ )
\(a_{e}=\frac{F}{m_{e}}\)
\(a_{e}=\frac{e^{2}}{4 \pi \varepsilon_{0} m_{e} r^{2}}\)
\(a_{e}=\frac{9 \times 10^{9} \times(1.6)^{2} \times 10^{-38}}{9 \times 10^{-31} \times(1.6)^{2} \times 10^{-20}}\)
\(a_{n}=10^{22} m / s ^{2}\)
$\left(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9\,N m ^2\,C ^{-2}, g=10\,m s ^{-2}\right)$