Using the Coulomb's law, the force between two protons inside a nucleus is about 14.4 N Isn't that a colossal force for such a tiny particle?. I guess that shows how strong nuclear force must be to overcome this. When I divide this however to the mass of proton, the acceleration due to Newton's law comes up as =8.6 x 10^27 m/sec^2 That's far far beyond the speed of light for 1 second of acceleration, even for a fraction of second. Doesn't that contradict with the special reality that says nothing goes beyond the speed of light??