cut short vs hang up

cut short and hang up both are verbs.

Word	Noun	Adjective	Verb	Adverb
cut short	No	No	Yes	No
hang up	No	No	Yes	No

As verbs, hang up is a hyponym of cut short; that is, hang up is a word with a more specific, narrower meaning than cut short:

cut short (verb)	hang up (verb)
terminate or abbreviate before its intended or proper end or its full extent	interrupt a telephone conversation
interrupt before its natural or planned end	put a telephone receiver back in its cradle
make shorter as if by cutting off	cause to be hanging or suspended
cause to end earlier than intended