the mass of an electron is 9.11x10^-31kg. How far apart would two electrons have to be in order for the elctric force exerted by each on the other to be equal to the weight of an electron

r = 5.09m

Explanation:

Weight of an electron is:

W = m*g

W = 9.11 * 10^ (-31) * 9.8

W = 8.93 * 10^ (-30) N

Electric force between two electrons is given by:

F = kq²/r²

Where

k = Coulumbs constant

q = charge of electron = 1.602 * 10^ (-19) C

r = distance between both electrons

If weight is equal to electric force,

8.93 * 10^ (-30) = (9 * 10^ 9 * (1.602 * 10^ (-19)) ²/r²

=> r² = (9 * 10^ 9 * (1.602 * 10^ (-19)) ²) / 8.93 * 10^ (-30)

r² = 25.9

r = 5.09m

They must be 5.09m apart for the electric force to be equal to the weight of an electron.