OK, that's helpful. How you get to the JS console depends on which browser you're using. In Firefox and Chrome, it's Ctrl+Shift+J. If you're in another browser, Google can tell you how to do it.
See if there are any errors listed there. Perhaps the versions of jQuery and jQuery UI you're including are out of sync with one another? That's happened to me before. If it's not that, then it's probably some other part of your JS or CSS that's interfering somehow. If you want to post the whole thing or a link to it, someone may be able to tell you more.