A metal ball with 0.25 kg of mass and 0.075 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The ball rolled up the incline without slipping to a vertical height of 0.32 m before stopping. The ramp has a length of 2.0 m along the incline. Find the speed of the ball before it reached the ramp. Hint: the ball has rotational kinetic energy. The rotational inertia of a solid sphere is (2/5)mr^2.

A metal ball with 0.25 kg of mass and 0.075 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The ball rolled up the incline without slipping to a vertical height of 0.32 m before stopping. The ramp has a length of 2.0 m along the incline. Find the speed of the ball before it reached the ramp. Hint: the ball has rotational kinetic energy. The rotational inertia of a solid sphere is (2/5)mr^2.

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