Does this graphics card work on a lenovo h500s?

Does the AMD Radeon HD 4850 graphics card work on the lenovo h500s, will all graphics cards work in the lenovo h500s -----> link: http://www.very.co.uk/lenovo-h500s-intelreg-pentiumreg-processor-8gb-ram-1tb-hard-drive-wifi-desktop-base-unit-black/1409526616.prd?aff=google&affsrc=acquisition&cm_mmc=google-_-PLA%20-%20Generic-_-All%20Google%20PLA-_-452_18283950120

That is a small form factor tower case. You might need a low profile only card that would fit. Also, I can't find any listing of a free PCI-e slot for your card. Might not be one.
You must have power enough to add that card. See specs. Could not find what you have, but I bet it is not more than 300W. That will not support most good graphics cards.