Checking if a Force is Conservative: A Tutorial

[asi123]

Homework Statement

I found this question (pic) how do I check if a force is conservative or not?

10x.

Homework Equations

The Attempt at a Solution

 

[rock.freak667]

If I remember correctly, forces which conserve mechanical energy are conservative forces.

 

[asi123]

If I remember correctly, forces which conserve mechanical energy are conservative forces.

isn't there a mathematic proof to a conservative forces?

 

[rock.freak667]

Well there is a proof but I was never taught things like curl and line integrals so...

But I see that Wikipedia has something on the proof.