The center of gravity and the center of mass are distinct concepts in physics. The center of mass refers to the average position of mass in a body, while the center of gravity is the point where the total weight of the body is considered to act. In uniform gravitational fields, these two points coincide, but they can differ in non-uniform fields. The discussion highlights the importance of understanding these differences for accurate applications in physics. Clarifying these terms is essential for proper analysis in mechanics.