A Canonball And Marble Roll

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A canonball and marble roll.

A cannonball and a marble roll smoothly from rest down an incline. A cannonball and a marble roll from rest down an incline without sliding. A cannonball and a marble roll from rest down an incline. Roll out here mister if you need a lttle rest lay me down in marbletown a bone yard is the best there was a bad bull on the railroad tried to put me off his train lay me down in marbletown til the coast is clear again i can hear them a hollerin we got a man down here we got a man down i m gonna flip me a cannonball that won t stop for anyone.

I understand the marble won t roll without friction. It is obvious that the radius of the marble will be smaller than the radius of the cannonball therefore the marble will have smaller rotational inertia than the cannonball and will make more revolutions per second. Acceleration is defined as the rate at which the object velocity changes. Does the cannonball take more less or the same time as the marble to reach the bottom.

Is the fraction of the cannonball s kinetic energy associated with translation more than less than or the same as that of the marble. Both the cannonball and the marble rolls from rest down the incline plane in the same time. Which gets to the bottom first.