Final answer:
A non-conservative force does work that depends on the path taken and cannot have an associated potential energy function.
Step-by-step explanation:
A non-conservative force acting on a particle does work that depends on the path of motion. This is contrasted with conservative forces, where the work done is path-independent and can be associated with a potential energy function. Unlike conservative forces, non-conservative forces such as friction result in a change to mechanical energy that is not recoverable, because the mechanical energy is converted into forms like thermal energy that are not easily transformable back into work. Therefore, the correct answer is A) does work that can depend on the path of motion, and D) cannot have an associated potential energy function.