Final answer:
In this scenario, a person is moving up in an elevator at a constant speed. The free-body diagram of the person would show the forces acting on them. To find the work done by the normal force and gravity on the person, we need to calculate their respective displacements and angles.
Step-by-step explanation:
(a) In this situation, the person is moving up at a constant speed, so there are two main forces acting on the person: gravity pulling downwards and the normal force pushing upwards. The free-body diagram for the person would show the person's weight (mg) pointing downwards and the normal force (N) pointing upwards.
(b) To calculate the work done by the normal force on the person, we need to find the displacement of the person. Since the person is moving up, the displacement is positive, so we multiply the normal force by the displacement and the cosine of the angle between them.
(c) To calculate the total work done on the person, we need to consider both the work done by the normal force and the work done by gravity. The work done by gravity can be calculated by multiplying the person's weight by the displacement and the cosine of the angle between them.