The 5670 requires very little power you could run that system on as little as a 300 watt PSU. That coolermaster is not a good PSU and will fail if you try and push it too hard but you should be able to get away with running a 5770 maybe. I would really have to recommend you getting a better quality PSU though.
Go to the link in my sig for more info. Also check stickies first before you post you could have answered your own question by reading a sticky.