How can work done on an inclined plane be calculated?

The calculation of work done on an inclined plane is based on the relationship between force, distance, and the direction of the force applied. The correct formula expresses work as the product of force and distance. This is grounded in the definition of work in physics, which states that work is done when a force acts on an object to move it over a distance.

In the context of an inclined plane, if a force is applied along the direction of the movement (in this case, parallel to the incline), the work done can be computed by multiplying the magnitude of that force by the distance over which the force is applied. Therefore, the expression that embodies this relationship, Work = Force × Distance, reflects the fundamental principle that work involves both the force applied and the movement generated as a result.

Other explanations, such as using addition, division, or a ratio involving force and distance, do not accurately represent the relationship defined by the work-energy principle and therefore are not applicable in calculating work done.