why potential energy is defined for conservative field forces

why potential energy is defined for conservative field forces

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Its a property of conservative field forces.. when you go against any field, obviously it does negative work on you.. this negative work does decrease your kinetic energy .. but the lost kinetic energy has to go somewhere.. so it gets converted into some other kind of energy when that some other kind of energy is POTENTIAL ENERGY.. we can get our kinetic energy back from it.. this is the fundamental property of a conservative force.. in fact any force which does this is called a conservative force.. spring does this... gravity does this.. but friction does not.. cause it converts your kinetic energy into heat.. which cannot be converted back to KE.. (obviously when a block sliding over rough surface comes to rest, it doesn't start moving back right??). hence its a non conservative force!

potential energy function depends only on initial and final positions of its points of calculation. So does the work done by conservative forces.

@Mashy correct me if im wrong..so potential energy is not defined for non-conservative forces?!

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