Conservative forces and potential energy

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Homework Statement


Show that F=-mgk is a conservative force with potential energy V=mgz

The Attempt at a Solution


I don't really know where to ven start with this one. I know it may be something to do with Newton's 2nd law F=ma, but i really don't know what to do
 
on Phys.org
What's the definition of a conversative force and a potential? What is their relation?