Halliday, Resnick & Walker — Kinetic Energy and Work: Problem 64

Boxes are transported from one location to another in a warehouse by means of a conveyor belt that moves with a constant speed of \( 0.50 \text{ m/s} \). At a certain location the conveyor belt moves for \( 2.0 \text{ m} \) up an incline that makes an angle of \( 10^\circ \) with the horizontal, then for \( 2.0 \text{ m} \) horizontally, and finally for \( 2.0 \text{ m} \) down an incline that makes an angle of \( 10^\circ \) with the horizontal. Assume that a \( 2.0 \text{ kg} \) box rides on the belt without slipping. At what rate is the force of the conveyor belt doing work on the box as the box moves (a) up the \( 10^\circ \) incline, (b) horizontally, and (c) down the \( 10^\circ \) incline?