to push, to shove; to give a push (more forceful than a gentle push), to propel; to move (something) forward by pushing
Estaba ahí para empujar a la gente más allá de lo esperado.
He was there to push people beyond what was expected.
— Whiplash (2014)
Mírame, debes empujar al bebé para abajo, así.
Look at me, you have to push the baby down, like this.
— 3 Idiots (2009)
Haga el favor de empujar la mesa hacia aquí.
Please push the table over here.