Final answer:
Will has not done work on the sofa because in physics, work requires both force and displacement. Since the sofa has not moved, despite Will pushing with 20 Newtons of force, there is no displacement and therefore no work is done.
Step-by-step explanation:
No, Will has not done work on the sofa. In physics, the concept of work is defined as the force causing displacement of an object in the direction of the force. Work is calculated by the formula W = F x d, where W is work, F is force, and d is displacement. Since the sofa does not move, there is no displacement (d = 0), so the equation becomes W = 20 N x 0 m, which means Will did 0 J (joules) of work.
Physical work requires both force and displacement. Here Will exerted 20 Newtons of force; however, without displacement, the push on the sofa does not constitute work from a physical perspective. This understanding is in line with the concept that while Will may feel like he has expended energy, from the point of view of transferred energy to the sofa, no work has been done.