Determining the total distance a solid sphere will roll.

[smalveh]

Hi guys not sure if this belongs in the homework section, anyway here goes!
I'm trying to calculate the total distance a marble (I'm modeling it as non-deformable solid sphere) will travel along a flat cardboard surface (I'm also assuming the cardboard does not deform).
The sphere will initially be propelled by a known external force, it can be assumed that the sphere will not slip.
I've tried figuring this out by calculating the rolling resistance that acts on the marble as it moves across the surface, but it seems that this is not possible without knowing the coefficient of rolling resistance between the marble and the cardboard surface.
I'm quite sure I could figure out the total distance if I knew the magnitude of the friction acting on the sphere because I also know the speed at which the marble is launched.
I know the coefficient of static friction between the two surfaces as well if that helps in any way.

Any way thanks for your help.

 

[mfb]

I don't see any method to estimate the rolling resistance without any data except the static friction. Measure it, and calculate it based on the measurements?

 

[mikeph]

If the marble and surface don't deform, how will there be any resistance?

 

[ashishsinghal]

The marble will stop only because of rolling friction and that, I believe, has to be calculated experimentally

 

[smalveh]

The marble will stop only because of rolling friction and that, I believe, has to be calculated experimentally

I thought this would end up being the case ashishsinghal.
Thanks for your help anyway guys.