Question

you roll a ball on a surface that is very smooth

Answer 1

Answer:

If we roll a ball on the smooth surface it moves fast due to less friction.

Answer 2

Answer:

IF THIS IS RELATED TO FRICTION THEN HERE IS YOUR ANSWER

Explanation:

Firstly let us consider that we have a spinning ball and we keep it on the aurface gently. If that's the case then the ball will just keep spinning on it's position as it was before the contact with surface. Now let us say that the surface was inclined. Then the ball will just translate down the incline while spinning at the same angular velocity. The physics of the ball can be determined simply by the Newton's laws.

Notice the fact that I am very cautiously using the word spinning in place of rolling. Because we can only say that the ball is spinning when v=rw. Now for the above cases ball is not rolling at any moment.

Let us consider second situation. The ball is kept on the surface and you hit it horizontally with the point of impact being in line with center of mass. Then the ball will just slide off without any rotational motion. If you hit it at any other point it carry a linear momentum as well as angular momentum about it's CM. So the ball will slide while rotating. Now here comes an interesting scenario. There is a point above it's CM where if it's hit with a particular impulse the Velocity just equals Radius times Angular velocity. So in this case there will be no sliding and the the ball will be performing pure rolling.