This happened to me several times, all of them when using Sony 80 minute tapes. I switched to Panasonic MQ tapes over a year ago and haven’t had a tape jam since.
When the Sonys got stuck, I would first unplug the unit and wait a minute. Plug the unit back in, remove the top cover off the DV2000 and you will be able to see the tape carriage. Turn on the power. When you press the eject button, simultaneously use your finger or a screwdriver to wiggle the tape and help get it unjammed and the carriage will eject.
Chances are that the spot where the tape was when it got stuck will be damaged. Also, I had a problem with a jammed tape playing over the damaged area, where it would get jammed in the 2000 again, and even get jammed in any other player or camera at that damaged spot.
Good luck.