Acer Aspire 5610Z Problems?

I bet you ran the laptop on battery and now the battery is dead. If you left the battery charger on and left your computer may have gone into hibernation, as usual, but somehow burned out ( they break for no reason ), the battery took over but it lasted just for so long before completely discharging. You can try to recharge the battery overnight to see if the computer comes back to life. If the battery does not recharge, then suspect the battery charger is gone and needs to be replaced. You might have to buy a new battery also, they will take at least 25 to 35 charges before wearing out.