The distance relevant to work done by force F is r. So option C is correct.
The distance relevant to work done by force F is r.
The work done by a force depends on its magnitude and the distance over which it acts. In this scenario, the force is F and it moves the load from the bottom of a slope to the top, a distance of r.
Therefore, the work done by force F is: W = F * r
Distance vs. Displacement:
While the distance can be any arbitrary path the object takes, displacement refers specifically to the straight-line distance between the starting and ending points of its movement. In the case of pushing the box up the slope, the displacement is the vertical height the box climbs, not the length of the entire slope (which would include the horizontal component)
The other distances, p and q, are not relevant to the work done by F. They might represent the length of the slope itself or another portion of the path, but they don't describe the actual displacement caused by force F.
Hence, the distance relevant to the work done by force F is r.