Two identical particles have the same mass and the same charge. The mass of each particle is 3.346×10^−27 kg. What is the charge on each particle if the ratio of the gravitational force to the electrostatic force is 1.619×10^−36?

Question

Two identical particles have the same mass and the same charge. The mass of each particle is 3.346×10^−27 kg. What is the charge on each particle if the ratio of the gravitational force to the electrostatic force is 1.619×10^−36?
5.135×10^−38 C

1.947×10^37 C

2.266×10^−19 C

4.413×10^18 C

Anonymous · Accepted Answer

Answer is 2.266x10^-19 C

oobleck · Answer

Coulomb force is Fc = kq^2/d^2 So, q^2 = Fcd^2/k Gravity force is Fg=Gm^2/d^2 so, d^2 = Gm^2/Fg Thus, q^2 = Fc/Fg * Gm^2/k You have Fc/Fg and m^2, so get G and k and crank it out