This looks more like an inductor than a capacitor, the "1R0" marking probably indicates this is a 1uH inductor, but I'm not sure where it came from / what the direct replacement is. If you want to fully disassembly the machine, you could probably look around on the logic board for the area that this came from. Inductors like this are normally used for power regulation and / or filtering, it would probably be near the power input to the logic board.
Assuming the part is intact (it would help to see a picture of the bottom to confirm) it's not actually that hard to solder something like this back on. A small "tap" with a soldering iron on both contacts while you hold it in place with tweezers should do it. You might not even need to add more solder.