Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.90 kg/s as shown in the figure below. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.620 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. (a) Find the sand's rate of change of momentum in the horizontal direction. N (b) Find the force of friction exerted by the belt on the sand. N (c) Find the external force N ext* (d) Find the work done by F in 1 s. ext J (e) Find the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 64P: Sand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as shown in...
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Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.90 kg/s as shown in the figure below. The
conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.620 m/s under the action of a
constant horizontal external force Fext supplied by the motor that drives the belt.
(a) Find the sand's rate of change of momentum in the horizontal direction.
N
(b) Find the force of friction exerted by the belt on the sand.
N
(c) Find the external force
N
ext*
(d) Find the work done by F in 1 s.
ext
J
(e) Find the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion.
Transcribed Image Text:Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.90 kg/s as shown in the figure below. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.620 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. (a) Find the sand's rate of change of momentum in the horizontal direction. N (b) Find the force of friction exerted by the belt on the sand. N (c) Find the external force N ext* (d) Find the work done by F in 1 s. ext J (e) Find the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion.
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