A conveyor belt in a factory moves cartons of goods along a horizontal path at a steady speed of 0.80ms−1 by exerting a constant horizontal force of 150N on each carton.
a. (i) Starting from the definition of power, derive an expression for the power delivered to a body that moves with uniform velocity under a constant force acting along the direction of motion.
b. (ii) Using your result of part (i), calculate the power needed to move one carton at the stated speed.
c. (iii) If a carton remains on the belt for 12s, determine the work done on that carton during this time.