Does Dumping Coal into a Moving Train Affect Its Velocity?

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Homework Help Overview

The problem involves a freight car moving at a constant speed on a frictionless track and the effect of dumping coal into the car on its velocity. Participants are exploring the implications of the coal's initial velocity relative to the train and how this affects the train's speed.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial conditions of the coal's velocity and its impact on the train's speed. There is consideration of whether the coal is stationary relative to the ground or the train, and how this affects the reasoning about the train's velocity after the coal is dumped.

Discussion Status

There is a mix of agreement and questioning regarding the setup of the problem. Some participants express uncertainty about the teacher's explanation of the coal's velocity and whether it aligns with typical assumptions. The discussion is ongoing with participants seeking clarification on the implications of different initial conditions.

Contextual Notes

Participants note that the problem may be misleading if air drag is not considered, and there is a suggestion that the teacher's explanation might not reflect common scenarios in similar problems.

Brob
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Ok so the question is a freight car moves along a frictionless level railroad track at constant speed. The car is open on top. A large load of coal is suddenly dumped into the car. What happens to the velocity of the car?

And I asked my teacher if the coal dumped in was stationary relative to the ground and he said it was traveling at the same velocity as the train when dumped. So I was thinking that the train speed would remain the same because the coal wouldn't need to be accelerated to the trains velocity because it is traveling at the same velocity as the train. Meaning it would not require any extra force to get it to the same velocity as the train. The force of normal would increase but since the train track is frictionless the force of normal would be irrelevant. However the correct answer was the speed of the train would decrease. Thoughts? I do understand that if friction of air was counted the coal would slow down before it fell into the train so it would need to be accelerated and would slow down the train. But, I doubt that that is the reason.
 
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I agree with your answer. Air drag on the coal before it reaches the train should be negligible (as all other effects of air), otherwise the problem statement would be misleading.
Brob said:
and he said it was traveling at the same velocity as the train when dumped.
That is an unusual setup. Maybe he didn't mean that. Usually the coal is stationary relative to the ground.
 
mfb said:
I agree with your answer. Air drag on the coal before it reaches the train should be negligible (as all other effects of air), otherwise the problem statement would be misleading.
That is an unusual setup. Maybe he didn't mean that. Usually the coal is stationary relative to the ground.

I agree but would my reasoning have been correct if the coal was stationary reltive to the train?
 
Yes, that's why I agree with your answer.
 
mfb said:
Yes, that's why I agree with your answer.
Thanks for the help.
 
Brob said:
and he said it was traveling at the same velocity as the train when dumped.
Very likely he believed he was simply confirming that the coal would have the same velocity as the train once dumped.
 
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