Surface Pro won't start up

[sarcoguy]

Hi. I have a first generation Surface Pro. When I try to turn it on the battery symbol appears and then turns off, as if the battery was too low to startup. But it's currently plugged in, and has been so for a couple of hours. I checked the cord and the little light is on so I know it is plugged in. Any idea what might be going on? I really hope this is fixable. Thanks.