A smaller weight on a lever can raise a larger weight, but the smaller weight must move a greater distance. Is this statement TRUE or FALSE?

The statement is true because it reflects the principle of mechanical advantage in levers, which is derived from the relationship between the weights and the distances moved. In a lever system, when a smaller weight is applied at a greater distance from the fulcrum, it can indeed lift a larger weight positioned closer to the fulcrum. This is rooted in the law of levers, which states that the product of the weight and the distance from the fulcrum must be equal on both sides for the lever to be in equilibrium. Thus, while the smaller weight will move through a longer distance to raise the larger weight, it can effectively do so due to the design of the lever and the distribution of forces. This principle is fundamental in mechanical systems and illustrates how levers can multiply force.