Fe/Fg = 4.2 x 10^42
Gm^2/r^2, where G is the gravitational constant, m is the electron mass, and r is the separation between the two electrons, gives the gravitational attraction between two electrons.
r = the separation of two electrons 1.6 x 10-19^ C is the size of the charge on each electron, or q.
9.1 x 10-31 is the mass of one electron, or m.
The formula for the Coulomb force of repulsion is
Fe = k q^2/r^2 = (9 x 10^9) (1.6 x 10-19 )^ 2/r^2
The formula for the gravitational force of attraction is
Fg = Gm^2/r^2 = (6.67 x 10^-11). (9.1 x 10^-31) ^2/r^2
Fe/Fg is calculated as
[ (9 x 10^9) (1.6 x 10-19 )^ 2/r^2 ] / [(6.67 x 10^-11). (9.1 x 10^-31) ^2/r^2 ]
Fe/Fg = 4.2 x 10^42
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