Was any new software installed/updated just before you started experiencing this? You should check your event viewer and see if the logs tell you any additional information which could help you troubleshoot.
As far as the virus goes, while it is possible that you could have one, Norton products do a decent job of detecting them before you get infected, provided that you actually keep up-to-date with the virus definitions. No program is fool-proof, but most are somewhat reliable.
If all else fails, you should try reinstalling Norton.
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It's most likely a problem with your flux capacitor.