yes, it does sound like a battery problem but just to be sure
1.) What is the make and model of the laptop?
2.)Do you see the battery level going down? or does it stay at 1 level then shut off?
3.) Does it say "resuming windows" when you're starting it back up?
The make is Asus and the model is U52F-BBL5. When it is running off the battery, with no AC power, it doesn't stay on long enough to notice any change in the battery level indicator. It doesn't say resuming windows, but it does go to the black screen where is says that the computer was shut down unexpectedly, and has the options to start normally, or in the three different safe modes.
If it is time to get a new battery, would doing so fix this issue? Thanks.