How do movable pulleys increase machanical force?

Movable pulleys increase mechanical advantage by allowing the load to be shared between multiple segments of rope, effectively reducing the amount of force needed to lift a weight. In a movable pulley system, as you pull down on the rope, the pulley moves up, allowing you to lift the load with less effort. This configuration divides the weight of the load, making it easier to lift. Therefore, while the distance you pull the rope increases, the force required to lift the load decreases.