Constant rolling resistance?

[Schalken]

A ball rolls across a table and stops due to rolling friction. It has a mass of m and travels a distance of s in the time t.

What is the ball's initial speed?

The same ball rolls until it hits a wall. It has a mass m, and traveled a total distance of s (to the wall) in the time t.

What is the ball's initial speed?

At what speed does the ball hit the wall?

I have formulated my question into a textbook-style question since that seems to be the rules here. I just wanted to know if the deceleration of a ball rolling a cross a table is typically constant.

 

[andrevdh]

Yes, if it is the same ball and surface that it rolls on.

 

[m2003]

I can provide a response to this content by stating that the deceleration of a ball rolling across a table is typically not constant. The rolling resistance, which is the force that opposes the motion of the ball and ultimately causes it to stop, is influenced by various factors such as the surface of the table, the shape and material of the ball, and the amount of force applied to the ball. Therefore, the initial speed of the ball cannot be determined without knowing these specific details.

Similarly, when the ball hits a wall, the initial speed cannot be determined without knowing the specific details mentioned above. Additionally, the speed at which the ball hits the wall will also depend on the angle at which it hits the wall and the elasticity of both the ball and the wall.

In general, the rolling resistance and deceleration of a ball rolling across a table or hitting a wall cannot be considered constant and can vary depending on the specific conditions. As scientists, we must take into account all the relevant factors and variables in order to accurately determine the initial speed and speed at impact of the ball.