You can get this to work but you'll need another module called jsdom because jQuery needs a DOM window to operate, it's not designed for Node.js. Install it with:
npm install jsdom --save
Please note: I'm using the latest jQuery 2.1.1 and jsdom 1.0.0-pre.6 both installed via npm
And then in your Node.js file e.g. app.js:
var jsdom = require('jsdom'),
window = jsdom.jsdom().parentWindow,
$ = require('jquery')(window);
var object = $.extend({},{'foo':'bar'},{'cat':'dog'});
console.log(object);
Then in Node.js you run it:
node app.js
And see the output:
{ foo: 'bar', cat: 'dog' }
Perhaps the better option is to use something like cheerio which is a "fast, flexible, and lean implementation of core jQuery designed specifically for the server". You can install this with npm install cheerio.