Are all kinds on Forces between particles only dependent on the distance between the particles? The 'total energy' of a particle in an isolated system is conserved only if all the forces on it are conservative. For a conservative force, we need a force dependent only on the current position of the particle, right? Is every force in the universe like that? Coloumb and Gravitation Forces are like that, and I think the forces which we use to push/pull in daily lives are also coloumbic forces at their core. What about weak forces and nuclear forces? Are they also of this type?
 A: No, not all of them, actualy most of them do not. Coulomb and Gravitational Newton force have such simple form because they describe interaction between particles at rest (unmoving) and with no other qualities that scalar electric charge and mass. The situation they are supposed to describe is so simple there isn't much that then can depend on.
For example the magnetic force (which is an aspect of electromagnetic force) also depends on the velocities of the particles. What's more, because of the limited speed of propagation of the electromagnetic field, it actualy depends on how they were moving in the past.
Same with gravitation: if you consider the full equations of General Relativity, you can see that the force depends on the velocity of the object, it's just that for low velocities it can be approximated with the force desbribed by Newton's equation of gravity.
Weak interaction depends on a certain quantum property of particles called chirality. It doesn't affect right-chiral matter particles and left-chiral antimatter particles
at all - it only affects left-chiral matter and right-chiral antimatter.
The field that describes strong interaction (gluon field) follows so complicated equations, that it's difficult to describe this interaction as forces between particles. we have a number of particles affecting the gluon field, and gluon field affecting the particles back, but often in a way than cannot even be calculated, only simulated.
