A Canonball And Marble Roll

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A canonball and marble roll.

It is given by the. I understand the marble won t roll without friction. A cannonball and a marble roll from rest down an incline without sliding. A cannonball and a marble roll from rest down an incline.

Does the cannonball take more less or the same time as the marble to reach the bottom. Which gets to the bottom first. 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. The point is not to ignore friction entirely then the question is meaningless but in the first case to assume that the friction for the two marbles is constant and for the second case to closer simulate reality by allowing the friction to have different values.

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