Based on the text, describe the relationship between force and distance when using a lever.

The text describes the relationship between force and distance in a lever system. Specifically, it states that when using a lever, if you apply a smaller force (F2) over a longer distance (s2), the point of application of the larger force (F1) moves a smaller distance (s1). The relationship is inversely proportional, meaning that the ratio of distances is equal to the inverse ratio of forces:

$$\frac{s_1}{s_2} = \frac{F_2}{F_1}$$

This indicates that by using a longer lever arm, we can achieve a gain in force but at the cost of increasing the distance over which that force must be applied (we lose in the distance traveled). Conversely, a shorter lever arm requires more force but the distance is smaller.

In summary, the text mentions that by acting on the longer arm of the lever, we gain in force but lose in distance. It highlights a trade-off: you can reduce the force needed, but you must apply it over a greater distance.