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let the battery run completely empty, so it will shut down. Then restart and then plug in AC adapter.
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If the battery is completely empty, I don't think it will let you restart without plugging in the AC adapter first. Worth trying, but I don't have much faith it will work.

I hope I am wrong.
The fact your computer shut down when you pulled the power tells me the battery was near dead at that point anyway. How old is this system? Did the battery have time to charge before you pulled the power?
I agree with bassfisher to check your notebook maker's instructions to refresh the battery. But if this notebook is more than 2 years old, and if the battery did have time to take on a charge before you pulled the cable, but didn't, then you may need to start looking at replacing the battery, or having the notebook tested to ensure the battery/charging circuits are still functional.