A metal ball with 0.27 kg of mass and 0.050 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 0.47 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the ball before it reached the ramp.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A metal ball with 0.27 kg of mass and 0.050 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 0.47 m before stopping. The ramp has a length of 1.7 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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