Posted by Maria on Wednesday, January 23, 2013 at 11:16am.
You can treat the spheres as point charges at R >2m separation. If e is the charge on each sphere, for the electrical repulsion to equal the gravitational attraction,
G M^2 /R^2 = k Q^2/R^2
GM^2 = k Q^2
G is the Newton gravity constant and k is the Coulomb law constant
Solve for Q. The number of electrons is Q/e.
e is the elctron charge.
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