(a) What is the magnitude of the gravitational force of attraction between two e

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Question

(a) 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?

(b) How much does 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?

here,
Assuming,
m1 and m2 are masses of two electrodes with charges q1 and q2 on them.
and are seperated by distance d

G = gravitational COnstant

K = Columb's Constant

Part A:
1.) Gravatitional Force between them will be
Fg = G*m1*m2/d^2 -------------(1)

2.) Electrcal force will be
Fe = K*q1*q2/d^2 -----------(2)

3.)
R = Fg/Fe
R = (G*m1*m2/d^2) / (K*q1*q2/d^2 )
R = (G*m1*m2)/(K*q1*q2)
Fg/Fe = (G*m1*m2)/(K*q1*q2)

Part B:
seperation distance, r

1.)gravitational potential energy will be ,
Ug = -G*m1*m2/r

2.)Electric Potential Energy,
Ue = K*q1*q2/r

3.)ratio will be
R = Ug/Ue
R = (-G*m1*m2/r)/(K*q1*q2/r)
R = (-G*m1*m2) / (K*q1*q2)

Ug/Ue = (-G*m1*m2) / (K*q1*q2)

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