What is the magnitude of the gravitational force of attraction between two elect

Question

What is the magnitude of the gravitational force of attraction between two electrons separated by a distance r? What is the magnitude of the electrical force of repulsion between two electrons separated by a distance r? What is the ratio of the magnitude of the gravitational force to the magnitude of the electrical force? How much stronger is the electrical force? How much docs the gravitational potential energy decrease when two electrons are brought in from infinite separation to a separation r? How much does the electrical potential energy' increase when two electrons are brought in from infinite separation to a separation r? At a distance r, what fraction of the total potential energy' is determined by gravity?

Explanation / Answer

4. a) Fe = kq1q2/r^2 = kq^2/r

Fg = Gm1m2/r^2 = Gm^2/r

Fg / Fe = (Gm^2/r)/(kq^2/r) = (Gm^2)/(kq^2) = [(6.62*10^-11)(9.1*10^-31)^2]/ [(9*10^9)(1.6*10^-19)^2] =2.4*10^-43

Fe is stronger 4.16*10^42 times than Fg

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