push on vs go on

push on and go on both are verbs.

Word	Noun	Adjective	Verb	Adverb
push on	No	No	Yes	No
go on	No	No	Yes	No

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

Other hypernyms of push on include advance, march on, move on, pass on, progress.

push on (verb)	go on (verb)
continue moving forward	come to pass
	continue talking
	start running, functioning, or operating
	move forward, also in the metaphorical sense
	continue a certain state, condition, or activity