Moving a suitcase on wheels is easier than pushing a wheelless one because of the physics of Rolling Friction vs. Sliding Friction. When you slide a bag, the entire surface area of the bag's bottom creates resistance against the floor. When you add wheels, the point of contact is reduced to tiny areas on the tires, and the "rolling" motion requires much less force to overcome friction (F=μN). Furthermore, there is a mechanical advantage to pulling (tilting) a 2-wheeled suitcase: by pulling at an angle, you are applying a vertical component of force that slightly "lifts" the bag, reducing the "normal force" (the weight pressing down) and thus further reducing friction. In contrast, pushing a 4-wheeled "spinner" suitcase is popular on smooth airport floors because it keeps the weight centered over the wheels, requiring almost zero effort to maintain momentum. However, once you hit carpet or uneven pavement, pulling becomes easier again because your body’s larger muscle groups (quads and glutes) are more efficient at "towing" weight behind your center of gravity.