hang up vs cut short

hang up and cut short both are verbs.

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

As verbs, cut short is a hypernym of hang up; that is, cut short is a word with a broader meaning than hang up:

Other hypernyms of hang up include break off, break short.

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