The degree of forcefulness becomes even more apparent when we throw in other modals. From the strongest to the weakest:
You must see this movie. (have to)
You should see this movie. (or ought to, more formal)*
You can’t miss this movie.
You may want to see this movie.
You might want to see this movie.
* “ought to” vs. “must" - "To say that one ought to take a certain option is merely to provide a nudge in that direction. Its typical uses are to offer guidance, a word to the wise..., to recommend, advise... In contrast, to say that one must take a certain option is to be quite forceful. Its typical uses are to command, decree, enact, exhort, entreat, require, regulate, legislate, delegate, or warn. (McNamara 1990: 156)”
References:
http://www-personal.umich.edu/~asilk/Alex_Silk/home_files/si...https://dictionary.cambridge.org/us/grammar/british-grammar/... https://dictionary.cambridge.org/us/grammar/british-grammar/...https://dictionary.cambridge.org/us/grammar/british-grammar/...https://englishharmony.com/you-may-want-to/