Can this video card work on my computer?

any recent video card will work. You need the pcie 16x interface, which has a short group of contacts on one end, and then a long, unbroken strip the rest of the way. The one you have is a good deal, though don't expect anything amazing out of it. If you want something good, move up to the sub $100 range and pick up a 9800 GT, or a 440 GT or 240 GT