It looks like this model has an issue with the battery i found this information and wanted to pass it along.
What you need to do is take the bottom cover off unseat the ribbon cable and leave it off. While the battery ribbon is off, press and hold the power button and count to 30 seconds.(<--IMPORTANT PART) Reseat the battery ribbon, put the cover back on the bottom (but dont screw it in yet in case that didn't work - sometimes (rarely) you might have to do it 2 times to get it to work).
Pressing the power button should restore battery operation in most cases.