How Does Mass and Velocity Affect Momentum on a Moving Conveyor Belt?

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The discussion centers on calculating the rate of change of momentum for sand falling onto a moving conveyor belt. The sand falls at a rate of 4 kg/s, and the conveyor belt moves at a speed of 1.07 m/s. Participants emphasize that the rate of change of momentum is equivalent to the force exerted. To find this, one must consider the change in momentum from the falling sand as it accelerates horizontally upon contact with the belt. Understanding these principles is essential for solving the problem effectively.
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1.Sand from a stationary hopper falls on a mov-
ing conveyor belt at the rate of 4 kg/s, as
shown in the figure. The belt is supported by
frictionless rollers and moves at 1.07 m/s un-
der the action of a horizontal external force
supplied by the motor that drives the belt.
Find the sand’s rate of change of momen-
tum in the horizontal direction. Answer in
units of N.



2. i know the rate of change of momentum is equal to the force but i need help figuring out that i really just need help getting started



3.
 
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bc33rocks said:
1.Sand from a stationary hopper falls on a mov-
ing conveyor belt at the rate of 4 kg/s, as
shown in the figure. The belt is supported by
frictionless rollers and moves at 1.07 m/s un-
der the action of a horizontal external force
supplied by the motor that drives the belt.
Find the sand’s rate of change of momen-
tum in the horizontal direction. Answer in
units of N.

2. i know the rate of change of momentum is equal to the force but i need help figuring out that i really just need help getting started
3.


Welcome to PF.

Well what is the change in momentum?

Momentum after - momentum before? I can't see your picture, but I suppose it falls vertically. So the final speed in X is what? The initial speed in X is what and what is the rate of sand mass in 1 sec? ...
 
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