When two bodies are in contact, they exert a normal force on each other due to electromagnetic interactions between the atoms on their surfaces. This normal force arises because the particles on each surface exert forces along the virtual line connecting them. In ideal scenarios, these force lines are parallel and perpendicular to the surfaces, leading to the resultant normal force. The normal force acts through the center of mass of the bodies involved. Understanding this interaction is crucial for analyzing contact forces in physics.