A solid uniform sphere (moment of inertia (2/5)MR2 ) and a uniform spherical shell (moment of inertia (2/3)MR2 ), both having the same mass and the same radius, roll without slipping along a horizontal surface at a speed 19.6 m/s. They then encounter a hill that rises at an angle 4 degrees above the horizontal. Because the two have different total kinetic energy, they will stop (momentarily) at different heights, Hhigh and Hlow . Calculate the ratio of the two, ie, Hhigh/Hlow (answer is greater than 1.0).

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To solve this problem we can use the principle of conservation of energy The total kinetic energy of ... View the full answer