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It's nice to see that my own calculations from a couple year ago were more or less correct :-) I think it might still be feasible if the colonists have 100% oxygen atmosphere and are well adapted to life in these conditions. But even then, living so deep underground does not sound very pleasant.
Why is it incapable of slowing down? Couldn't it perform a rotate-burn-rotate routine? I understand that there could be many reasons why they do not want to do that, but I don't see why it would be impossible.
Why do you think it will be fully vaporized before the pressure reaches zero? The cup of coffee does not have enough energy to vaporize all the coffee, does it? I would expect it to start to boil, the temperature would quickly decrease and if you didn't lower the pressure too quickly, it should stay in one piece due to the surface tension and ultimately become a solid block of stronger coffee.