I suppose "won't" has a stronger sense that you (or someone) have tried and failed to open the door. With "somehow", the first sentence seems more likely to me.
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hachi8>GPY Ohhh, I see!! Then, if the first sentence reminds you of that impression, do you think it's good to say "Somehow the door is not going to open." because the person seems to have tried to open the door before he/she said the sentence?"Somehow the door is not going to open" does not seem a very common thing to say. "Somehow, I don't think the door