Since you post here about it, you do care.

Writer's block is a strange thing. If you start worrying about what the professor will think about your whole paper, every individual sentence you write, of course that is going to be difficult to write that sentence.

I don't know what futility you mean, as you say you are close to finishing and you actually risk not finishing at all. You mean you don't like the subject?

I don't know what you do to clear your mind, get motivated and recharged to study. I think that is the main advice for students. Do sports, get a social network of fellow students, do cool things and support each other's studies while also working hard when not doing fun stuff.