Wow that was a lot easier than I thought it was gonna be.
I've checked online and the cheapest hard drive I could find was 75 bucks.
I would hate to spend the money on that and find out that the hard drive was not the culprit. The reason I suspect the hard drive is bad is that Ubuntu loads from the CD into RAM without involving the hard drive. When I boot to the windows disk the machine cuts off. However, the heat that I noticed was not coming from the hard drive.
So I am wondering if anyone here has any other suggestions as to what may cause this. Ubuntu shows that the battery is fully charged.