While this is built around my specific plug, these techniques should be able to be applied to any plug that has inexplicitly pulled itself apart for no reason what-so-ever.
Safety Warning: before unplugging an exposed wires from the wall, please ensure that you turn power off to that outlet. Your life is more important then fixing this plug.
Step 1: Issues
My first impressions was that there was absolutely no solder on either the cables that were ripped from the back of the plug, or the plug. There were small holes on the back of the plug, but they were too small to get any more then two strands of the threaded wire through. I currently have no idea how the wires could have been connected. I also find it awkward how much bare wire was exposed without any proper shielding, but that's just me.
All in all, it seemed an easy fix, I'd just solder the wires back on to where they popped off and call it a day!