When pushing a crate, the force exerted by the person results in an equal and opposite force from the crate, but friction between the person's feet and the ground prevents them from sliding backward. The frictional force on the person's feet must be strong enough to counteract the force from the crate; otherwise, they may slide backward if the crate has greater friction or weight. If both the person and the crate are on a frictionless surface, they would both move in opposite directions due to the push. The net force acting on an object determines its acceleration, highlighting the importance of friction in this interaction. Understanding these dynamics clarifies why the crate typically moves forward while the person remains stationary.