>>197
Sure, just desolder the old plug and solder the new one, you can take it from any other appliance you're not using anymore if you wish. Just don't flimsy wires.
When you peel of the insulation you'll see a green-yellow, a brown and a blue wire. The green-yellow is ground, connect it to the case if it was previously grounded, you can just simply cut that cable, but I recommend you to connect it for your safety.
The brown cable is the live, solder it to the power supply, probably in a pad that says "L" although it shouldn't matter if you connect it the other way around. Solder the blue cable to the remaining pad.
Make sure the connections are well made and will not touch with each other, other traces or the case.
Make a quick check by using your continuity meter between live and neutral, between neutral and ground and between live and ground. If it beeps with any of those you've done something wrong or the thing has a short somewhere.
I've seen UK plugs have usually connectors inside of them, so you might just need to cut the other plug, strip the wires and attach them to the corresponding connectors without any soldering.