Asmall child (m=40kg) is standing on a scale in an elevator. answer the following questions about the forces acting on the boy for each situation.

a. the elevator is moving at a constant velocity of 14m/s. how does the normal force compare to the weight? why?

b. the elevator is accelerating upward at 5m/s^2. how does the normal force compare to the weight? why?

c. the elevator is accelerating down at 5m/s^2. how does the normal force compare to the weight? why?

d. the elevator is accelerating down at 10m/s^2 (equal to the acceleration due to gravity.) what is the normal force? why?