Emachine T1140

Keep the mains plugged in and charge the battery to full, make sure the light comes on for this. If the laptop was without power for some time then it will take some time for the light to come on. If all fails then get a replacement battery. You can test this out by just unplugging the battery and switching on the mains. The computer should come on, if not then take it to a shop and see if it can be repaired.

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Door stop
Designer paper-weight
Table top

Friend, I looked it up online. It's not worth saving.
http://emachines.com/support/product_support.html?cat=Desktops&subcat=T%20Series&model=T1140

Your intentions are noble, but sometimes quality of life is more important than quantity of life. Let's be honest. It's had a good run, but it's time to let go.

Now, obviously, it is bad form to tell the kid "You're SOL." You just don't do that, at least not here in the South where we try to treat one another with decency and proper civility (unlike them damn Yankees ;)

Nope, you take up a collection for the kid, and try to raise a hundred or so. Get him to mow some lawns. Then go buy a refurbished model. They're cheap and affordable, and when properly refurbed, you can get decent mileage out of them.

IF THE KID WAS HAPPY WITH THAT OLD CLUNKER, HE'LL BE WORLD'S HAPPIER WITH SOMETHING BETTER.

I personally recommend Directron in west Houston, having worked the refurbishing process myself, but Dell has refurbished PC's on their site as well as TigerDirect and others.

But if you're insistent...
take out and reseat the RAM; it's usually something stupid like that.