I have the exact same problem. I have an Acer Extensa 5630EZ, and when I turn it off, it doesn't want to turn on again, for a few hours (or days, sometimes). When connected to the power supply, the battery light comes on normally, either in green (charged) or in orange (charging). When press the power button, one of the following happens:
* If the laptop is connected to the power supply, the light comes off for a couple of seconds (a few more if I keep it pressed). Then it comes back on.
* If it is not connected to the power supply, it does nothing, except when I quickly press it five times, then the battery light slowly blinks orange five times.
I really don't know what to do. Every time it does that, I have to wait a looooong time to be able to turn it on again. I have tried the so-called "power reset" (remove the battery and press the power button for 30 secs or so), but nothing happens. I am quickly nearing desperation. I also wrote to Acer Support and, guess what... no answer.