Work done by conservative forces

[gracy]

amount of work done by conservative force
=amount of decrement in potential energy
Is this correct?I think yes
Because I have been told that
Work done by non-conservative forces + work done by conservative forces = change in kinetic energy

but
Work done by non-conservative forces = change in potential energy + change in kinetic energy
so it implies

work done by conservative forces= negative of change in potential energy
So that change in potential energy cancels out and Work done by non-conservative forces + work done by conservative forces = change in kinetic energy.

 

[nasu]

Yes, the work done by the conservative force is equal to the negative of the change in potential energy. By definition of potential energy.
I don't understand your last sentence. But there is no problem with this definition.
The change in kinetic energy is equal to the work done by all forces. Maybe using math formulas instead of word "formulas" will help.