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

Respuesta :

Answer:

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.