Sand from a stationary hopper falls on a moving conveyor belt at the rate of 5.70 kg/s. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.740 meter per second under the action of a constant horizontal external force Fext supplied by the motor that drives the belt.
(a) Determine the sand rate of change of momentum in the horizontal direction.
(b) Determine the force of friction exerted by the belt on sand.
(c) Determine the external force Fext.
(d) Determine the work done by Fext in one second.
(e) Determine the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion.