Determine the frictional force

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Homework Help Overview

The discussion revolves around a problem involving a 2.5 kg rubber ball rolling across dry concrete with an acceleration of 4.0 m/s². Participants are tasked with determining the frictional force required to stop the ball, but the problem statement raises several ambiguities regarding the conditions of the scenario.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the clarity of the problem statement, particularly regarding the nature of the ball's acceleration and the application of kinetic friction. There are discussions about whether the ball is accelerating due to an external force or if it is rolling down a slope. Some participants suggest that the coefficient of friction provided may not be applicable.

Discussion Status

The discussion is ongoing, with multiple interpretations being explored. Participants have raised concerns about the ambiguity of the problem and have suggested that the original poster clarify the question. Some guidance has been offered regarding the distinction between kinetic and static friction, but no consensus has been reached on how to proceed with the problem.

Contextual Notes

There is uncertainty about the conditions under which the ball is rolling, whether the surface is horizontal, and the timeframe or distance over which the ball should stop. Additionally, the relevance of the coefficient of friction provided is under scrutiny, as it may not apply to the situation described.

joelm
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Homework Statement


If a 2.5 kg rubber ball is rolled across the dry concrete with an acceleration of 4.0 m/s^2[E]. Determine the friction force required to stop the ball.

Homework Equations

[/B]
Coefficient of kinetic force between rubber and dry concrete is 1.0, Fnet = (m)(a) Ff= (u)(Fn)

The Attempt at a Solution

 
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Hi joelm.

Please note that the rules require that you show an attempt at solution before help can be offered. What have you tried?

Is the problem statement word-for-word as it was given to you? Is the ball really speeding up (the acceleration you stated is positive)?
 
gneill said:
Hi joelm.

Please note that the rules require that you show an attempt at solution before help can be offered. What have you tried?

Is the problem statement word-for-word as it was given to you? Is the ball really speeding up (the acceleration you stated is positive)?
it doesn't say if the speed is consistent or speeding up. I'm confused when they add the acceleration to the question. so I'm assuming you find the net force (2.5 kg)(4.0 m/s^2[E], first I'm not sure if that's where to start and if that's correct what would the next step be?
 
As stated, the problem is rather ambiguous. The ball is said to be rolling, so I don't see how kinetic friction would apply or why its coefficient would be given. They don't say why it is accelerating. They don't say if the concrete surface is horizontal or not. They don't say how the ball should come to a stop, whether in some particular timeframe or over a particular distance. So I can't offer any suggestions other than that you find the force as you've done.
 
gneill said:
As stated, the problem is rather ambiguous. The ball is said to be rolling, so I don't see how kinetic friction would apply or why its coefficient would be given. They don't say why it is accelerating. They don't say if the concrete surface is horizontal or not. They don't say how the ball should come to a stop, whether in some particular timeframe or over a particular distance. So I can't offer any suggestions other than that you find the force as you've done.
Yea I'm really confused as well. Would Fnet (Net force) = Normal force? They give you the formula Ff= (u)(Fn) u= coefficient Fn= normal force
 
Net force is not normal force. They gave you an equation for the normal force, from which friction force is derived. But as I said, since the ball is rolling (presumably without slipping), kinetic friction doesn't apply. The only other type of friction that might apply is rolling friction, but they didn't give you a formula or coefficient for that.

All you can do with what's given is find the net force that results in the stated acceleration.
 
I think what gneill is saying is that you may have mangled the question in your post. It doesn't seem to make much sense. Could you try posting the question again being careful to state it exactly as given?
 
Cutter Ketch said:
I think what gneill is saying is that you may have mangled the question in your post. It doesn't seem to make much sense. Could you try posting the question again being careful to state it exactly as given?
Yes for sure. This is exactly as worded.
If a 2.5 kg rubber ball is rolled across the dry concrete floor with an acceleration of 4.0 m/s^2 [E]. Determine the friction force required to stop the ball. ( Drawing a free body diagram will help illustrate the situation).
 
I agree with the others - the question is ambiguous.

Friction between what and what? Do they mean friction or rolling resistance? There is a difference.

Is it accelerating because of an applied force or because it's rolling down a slope?
 
  • #10
joelm said:
Yes for sure. This is exactly as worded.
If a 2.5 kg rubber ball is rolled across the dry concrete floor with an acceleration of 4.0 m/s^2 [E]. Determine the friction force required to stop the ball. ( Drawing a free body diagram will help illustrate the situation).

Well, perhaps it isn't you. At best that question is poorly posed. Anything we suggest here would involve making up an understandable problem that vaguely resembles this. Unfortunately that is not likely to be helpful. I would ask your teacher to clarify.
 
  • #11
Perhaps there was an editing problem in the original text of the problem (is it from a textbook?). If the final sentence was truncated in error and was meant to read:

"Determine the friction force required to stop the ball from slipping."

then you might have a viable question if the coefficient of friction given was for static friction rather than kinetic friction.
 
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  • #12
gneill said:
Perhaps there was an editing problem in the original text of the problem (is it from a textbook?). If the final sentence was truncated in error and was meant to read:

"Determine the friction force required to stop the ball from slipping."

then you might have a viable question if the coefficient of friction given was for static friction rather than kinetic friction.

Oh wow! Two words make all the difference! I couldn't think what this problem might mean, but I think you must have nailed it.
 
  • #13
gneill said:
Perhaps there was an editing problem in the original text of the problem (is it from a textbook?). If the final sentence was truncated in error and was meant to read:

"Determine the friction force required to stop the ball from slipping."

then you might have a viable question if the coefficient of friction given was for static friction rather than kinetic friction.
Yes, that does sound like the right reading, but I still see a difficulty. To find the friction force we do not need the coefficient of friction. We can find the force from the other information, then find the minimum coefficient.
 
  • #14
haruspex said:
Yes, that does sound like the right reading, but I still see a difficulty. To find the friction force we do not need the coefficient of friction. We can find the force from the other information, then find the minimum coefficient.
True! I suspect that the kinetic friction coefficient that was listed may have been a value looked up in a reference and provided as a potentially relevant value. Perhaps @joelm can confirm/deny this if he returns to the thread.
 

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