The removal and popping the battery back in with AC applied is dangerous and could fry something.
The stock battery is some 300 Cycle unit that at about a year of daily use would need replacing. But since Windows is not running any clean install should (and did) result in no change.
Try the usual simple reset. There's a longer version at the CNET Laptop Troubleshooting forum.
Remove AC, then the battery, press and hold the power button for 60 seconds. Release, slip the battery, apply AC and then try again. Repeat the power down and up in your case.
I'd like to hear about age, use and of course WARRANTY since the failure is usually the battery and/or the mainboard.
I have an Acer 6935g laptop with windows 7. When I go to boot my laptop, it powers on but nothing shows up on the screen, unless I take out the battery and put it back in few seconds later and then power up. I have to do this every time and it usually works but not always . I have tried a clean reinstall of windows 7 and have flashed an updated version of my bios but still the problem persists. I would appreciate if anyone had any help or advice that might solve this problem. Thanks Conor