Hi, welcome to the forum. It sounds like a low battery issue. Please try charging your Surface. Microsoft Surface RT Videos (Reviews, Tips, Apps) | Microsoft Surface Forums
This may not be related to the original post from Nov 2012.I am having the same issue since down loading Windows 10. Mine is plugged and fully charged. To get it to start up I have to hold the power button down for approx. 10 seconds and then turn it back on. It will run for most of the day and will then flicker and screen will go black. Nothing works until you power it off and back on. Seems to me this is a Windows 10 issue since the issue never occurred in the previous 7 months on Windows 8.