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The solder joints between the DC jack and the powerboard or motherboard are broken and causing an electrical arc, hence the heat buildup. Common problem on laptops. It looks like the M2000 uses a powerboard, giving you two options. Replace the power board ($ 60.00 used) or buy just the jack ($ 6.00) and have the new jack soldered onto the board. Going rate for the new jack being soldered is about $ 120.00 plus shipping or you can disassemble the lap yourself and have a TV shop solder the new jack on for you. You may be able to re-solder the old jack on but I would not reccommend it - the heat has very likely stressed the jack itself (the plastic will blow apart eventually) and the boards are layered, the connectors actually connect to metal rings inside the board. If those contacts aren't complete, the arcing may continue.
powerboard