Its a standard power cord with the correct 3 pin connectors on both ends right? If so it will be fine.
There are basically three levels of cords I have encountered that have the right ends on them: the light, the medium, and the massive. The light and medium ones will power pretty much anything, the massive ones are only needed for large systems with 1200-1600W PSUs which are pulling large amounts of current, the light and the medium ones tend to be rated for 8-10A which is more than enough for any normal reasonable system.
If its got the right ends on it, you will be fine.
this here is the cable i am talking about with a 13 amp fuse.