strong-arm vs push around

strong-arm is an adjective but push around is not an adjective.

Word	Noun	Adjective	Verb	Adverb
strong-arm	No	Yes	Yes	No
push around	No	No	Yes	No

As verbs, strong-arm and push around are synonyms defined as:

Other synonyms of strong-arm include ballyrag, boss around, browbeat, bully, bullyrag, hector.

strong-arm (adjective)	push around (adjective)
impelled by physical force especially against resistance