The average distance between the protons in the beam of the new particle accelerator at CERN is approx. 10^-4 m.Calculate the force acting between...

A proton is a particle that has a mass of 1.672*10^−27 kg
and a charge of 1.602*10^−19 C.

The gravitational force of
attraction between two particles with mass M1 and M2 can be taken as G*M1*M2/r^2 where G
is constant equal to 6.674*10^-11 N m^2*kg^-2 and r is the distance between the
particles.

Similarly the electrostatic force of repulsion
between two particles with charge C1 and C2 is given by C1*C2/4*pi*r^2*Eo, where r is
the distance and Eo is a constant equal to 8.854*10^-12 F
*m^−1

We can use the information we have of the mass and
charge or the proton and the distance between them given as 10^-4 m to find the
electrostatic force of repulsion as:

Ef =
(1.602*10^−19*1.602)^2/4*pi*(10^-4)^2*8.854*10^-12

=>
2.3066*10^-32 N

The gravitational force of attraction
is:

Eg = 6.674*10^-11*(1.672*10^−27)^2/
(10^-4)^2

=> 1.865*10^-56
N

This gives the force of repulsion between
the protons as almost 10^24 times the force of attraction between
them.