Velocity of a ball rolling down a ramp (and onto the floor)?

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SUMMARY

The discussion focuses on the velocity of a marble rolling down an incline and onto a smooth floor. The marble accelerates as it descends the ramp due to gravitational force, resulting in an increase in velocity. Once the marble transitions onto the smooth floor, it does not experience further acceleration, as there are no additional forces acting on it, assuming negligible friction. The velocity graph provided illustrates these changes accurately, with a higher velocity on the floor compared to the ramp.

PREREQUISITES
  • Understanding of basic physics concepts, specifically Newton's laws of motion.
  • Familiarity with the concept of acceleration and its relation to velocity.
  • Knowledge of how gravitational force affects objects in motion.
  • Ability to interpret velocity graphs and their implications in motion analysis.
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  • Research the principles of gravitational acceleration and its effects on rolling objects.
  • Study the differences between rolling motion on inclines versus flat surfaces.
  • Learn about the role of friction in motion and how it affects acceleration.
  • Explore the mathematical representation of motion using kinematic equations.
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Students studying physics, educators teaching motion concepts, and anyone interested in understanding the dynamics of rolling objects and their velocity changes.

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Homework Statement



A ramp is set up so that one end is propped up with a few textbooks and the other end is continuous with the floor. You roll a marble down an incline and onto the floor. Compare the velocity of the marble down the incline with the velocity of the marble as it rolls onto the smooth floor.

Homework Equations



None needed. The question is just asking for a general shape to the graph or a pattern.

This is what my velocity graph looks like (higher line is velocity of marble rolling onto smooth floor after going down the ramp, lower is the velocity as it goes down the ramp from the beginning to the end of the ramp): http://img43.imageshack.us/img43/1338/sketchonlyg.jpg
Is this accurate?
 
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When the ball rolls down the ramp does it accelerate?
When the ball rolls on the floor, does it accelerate?
If the answer is "yes" to any of these questions, is the acceleration constant or does it change depending on where the ball is?
 

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