Calculating Rotational Kinetic Energy with Unknown Radius and Mass

AI Thread Summary
To calculate the rotational kinetic energy of a bowling ball rolling without slipping, the moment of inertia formula I = 2/5 M R^2 is relevant. The translational velocity at the bottom is given as 4.0 m/s, and the height of the vertical rise is 0.8 m. While the radius and mass are unknown, the relationship between translational and rotational kinetic energy can be utilized. The translational speed at the top can be substituted into the equations to find the rotational kinetic energy. Understanding these principles allows for the calculation of energy even with missing variables.
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A bowling ball ( I = 2/5 M ^R2 ) encounters a 0.8 m vertical rise on the way back to the ball rack. If the ball rolls without slipping with a center of mass translational velocity of 4.0 m/s at the bottom of the rise.

How do I find the rotational kinetic energy of the ball at the top or bottom without knowing the radius? I know how to find the translational speed at the top.
 
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I just figured it out. Just need to substitute properly.
 
I was mistaken. I do not know the mass.
 

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