What cause electromagnet cause motion?

Force. Field.. If anything is acting on a partilce, it will keep moving along a straight line, with constant velocity (in all the inertial reference frames). In this sense, nothing causes the motion....

Simple answer; energy. It takes energy to cause anything, including your breathing right now. Energy is used to put something in motion, which ALWAYS causes something else to be in motion, even if...

hmm... force!

Vibration in a substance creates sound.

It is never needed to cause motion. Motion continues unless the body is acted upon by a net force (Newtons first law). It MAY be needed to counteract a force opposing motin, like rolling resistence...