Distance traveled by a Ball affected by friction after t seconds

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Homework Help Overview

The discussion revolves around a physics problem concerning the distance traveled by a ball affected by friction and rolling resistance. The original poster presents a scenario involving a ball with mass, initial velocity, and a coefficient of friction, seeking to understand how far it travels over time under these conditions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the concept of constant acceleration and its relation to calculating distance. Questions arise regarding how to determine deceleration due to rolling resistance and whether air resistance should also be considered in the context of a golf ball on a carpet.

Discussion Status

The discussion is ongoing, with participants sharing insights about the complexities of rolling resistance and the need for measurements to obtain accurate estimates. There is an acknowledgment of the interplay between rolling resistance and air resistance, but no consensus has been reached on a specific approach or solution.

Contextual Notes

Participants note the challenges of measuring deceleration accurately due to the combined effects of rolling and air resistance, indicating that further testing may be necessary to clarify these factors.

Volt582
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Thread moved from the technical math forums to the schoolwork forums
Hi everyone,
i have been trying to find an answer to this problem I have but couldnt find any good answers...
(I dont know much about this stuff, but need a formula for a Project I am currently working on).

So The problem goes as follows:
Assuming we have a ball with a mass of m which is rolling on a flat surface with an initial velocity of v. Lets call the friction coefficiant between the surface and the Ball p. How much distance will the ball have traveled after t seconds when it is constantly affected by friction?
 
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Volt582 said:
Hi everyone,
i have been trying to find an answer to this problem I have but couldnt find any good answers...
(I dont know much about this stuff, but need a formula for a Project I am currently working on).

So The problem goes as follows:
Assuming we have a ball with a mass of m which is rolling on a flat surface with an initial velocity of v. Lets call the friction coefficiant between the surface and the Ball p. How much distance will the ball have traveled after t seconds when it is constantly affected by friction?
A rolling ball is slowly by rolling resistance, rather than friction. In any case, we can assume a constant rate of deceleration. What do you know about motion with constant acceleration?
 
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PeroK said:
A rolling ball is slowly by rolling resistance, rather than friction. In any case, we can assume a constant rate of deceleration. What do you know about motion with constant acceleration?
When I have a constant acceleration I should be able to calculate the distance... But how could you calculate the deceleration?

And maybe another question: Do you think that air resistance should be accounted for as well when we are working with a golf ball on a carpet which is approximately traveling with an initial velocity of 6.5 m/s?
 
Volt582 said:
When I have a constant acceleration I should be able to calculate the distance... But how could you calculate the deceleration?
Rolling resistance is quite complicated. In any case, you are probably going to have to measure things if you want an accurate estimate.
Volt582 said:
And maybe another question: Do you think that air resistance should be accounted for as well when we are working with a golf ball on a carpet which is approximately traveling with an initial velocity of 6.5 m/s?
Probably. But, it would take a bit of work to distinguish the effects of air resistance from rolling resistance. What you will measure directly is a deceleration that involves them both.
 
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PeroK said:
Rolling resistance is quite complicated. In any case, you are probably going to have to measure things if you want an accurate estimate.

Probably. But, it would take a bit of work to distinguish the effects of air resistance from rolling resistance. What you will measure directly is a deceleration that involves them both.
mhh ok... Then we will have to perform some more tests. Thanks anyway!
 

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