Energy Released By Strong Force

[granpa]

a chemical reaction might release 10 ev of energy.

a nuclear reaction releases millions of times that.

we are told that that is because the nuclear force is much stronger.

At first that seems to make perfect sense but upon closer inspection the numbers clearly dont work out.

 

The strong force is only 100 times as strong as electromagnetism and it only acts over a very short distance (about the size of the nucleus or 1/10,000 of an angstrom)

 

now energy = force * distance

 

so 100 * (1/10,000) = 0.01

 

even though the force is stronger it should release much less energy.

[Cascabel]

Not happy with the answers on the other forum?

[granpa]

I'm very happy. He told me exactly what I already knew. That the strong force is actually billions of times stronger than electromagnetism.

Edited June 28, 2016 by granpa

[Cascabel]

Well done.

[granpa]

Angular momentum of electron = (planks constant)/(2pi)
Relativistic angular momentum = γmvr
Relativistic centripetal force = γmv^2/r

Gamma*(electron mass)*c*(10^-14 m)=(planks constant)/(2pi) solve for x
Wolfram says gamma = 38.6

38.6*(electron mass)*(velocity of light)^2/(10^-14 m)
Wolfram says force = 316 newtons

The force between 2 electrons at that distane is
( Coulomb's constant )*(electron charge)^2/(10^-14 m)^2
Wolfram says 2.3 newtons

According to those equations the force is 137 times stronger than electromagnetism would be at that distance and that is sufficient for the electron to fit inside a neutron