Physics equations/18-Electric charge and field/A:ElectricFieldGravityCompare

This is a good warmup activity before a lab:

Consider the electric and gravitational fields for the electron in the hydrogen atom at Earth's surface
 * $$ F_G =G\frac{mM}{r^2}\, $$, where $$G \approx 6.674 \times 10^{-11} \ m^3 \ kg^{-1} \ s^{-2}$$
 * Calculate the ratio of gravity to electrical forces for a proton and an electron separated by distance equal to the Bohr radius, $$a_0 \approx 0.526\times 10^{-10}m$$, with the electron mass $$\approx 9.11\times 10^{-31}kg$$, and the proton mass $$\approx 1.671\times 10^{-27}kg$$. The ratio F/FG is about 2x1039, a large large number.


 * 1) Perform this calculation.
 * 2) What does this say about the importance of Earth's gravity in calculating electron energy levels?