An alpha particle is the nucleus of a helium atom It has mas

An alpha particle is the nucleus of a helium atom. It has mass m = 6.64 x 10^-27 kg and charge q = 2e = 3.20 x 10^-19 C. Compare the force of the electric repulsion between two a particles with the force of gravitational attractiou between them (provide a ratio of electrostatic force to gravitational force).

Solution

gravitational force between 2 alpha particles Fg =G*m^2/r^2 =6.67*10^-11*(6.64*10^-27)^2/R^2=2.941*10^-63N

Electrostatic repulsion force Fe=k*q/r^2 =8.99*10^9*(3.2*10^-19)^2/R^2=9.206*10^-26/R^2 N

=>Fe/Fg =3.13*10^37