hang on vs bear on

hang on and bear on both are verbs.

Word	Noun	Adjective	Verb	Adverb
hang on	No	No	Yes	No
bear on	No	No	Yes	No

As verbs, bear on is a hypernym of hang on; that is, bear on is a word with a broader meaning than hang on:

Other hypernyms of hang on include carry on, continue, preserve, uphold.

hang on (verb)	bear on (verb)
be persistent, refuse to stop	have an effect upon
hold the phone line open	press, drive, or impel (someone) to action or completion of an action
fix to; attach	be relevant to
	keep or maintain in unaltered condition; cause to remain or last