Welcome to Tom's Hardware Forums,
Your most likely problem here is a broken power jack on the laptop. If you are adventurous and adept at the use of a soldering iron, there are videos on you tube showing how to replace a broken power jack. Probably one for your model http/www.youtube.com/watch?v=CJ5ZPHiyvEA - note that laptops disassemble differently, some are rather easy, some very much the opposite.
If you are somewhat intimidated by the prospect of getting into your laptop's innards, a local computer shop may be able to perform the repair or there are on-line companies that specialize in that repair. You send your laptop off to them and a week or two later it comes back working again, the normal fee for that service seems to be about $100.
Hope it helps