Why does a pulley system require more rope to be pulled when it reduces the lifting force?
A pulley system requires more rope to be pulled because of the fundamental relationship between force and distance in a simple machine. While a pulley system—often configured as a block and tackle—allows you to lift a heavy load with less effort, it does not reduce the total amount of work required.
To achieve mechanical advantage, the system distributes the weight of the load across multiple segments of rope. For example, if a load is supported by four rope segments, lifting that load one foot requires each of those four segments to shorten by one foot. Consequently, you must pull four feet of rope to raise the weight by only one foot.1
In essence, you are trading distance for force: by pulling a greater length of rope, you exert a smaller force over a longer distance to accomplish the same amount of work that would otherwise require a much larger force applied over a shorter distance.12