5. (12 points) Three objects, a solid cyllinder, a solid sphere and a spherical

Question

5. (12 points) Three objects, a solid cyllinder, a solid sphere and a spherical shell, all with identical mass and radius, are set to roll without slipping, with identical initial speed, up an inclined ramp. Rank from highest to lowest, the height the objects reach when they come to a complete stop on the incline. A. Spherical Shell, Solid Cyllinder, Solid Sphere B. Solid Cyllinder, Solid Sphere, Spherical Shell C. Solid Sphere, Spherical Shell, Solid Cyllinder D. Solid Cyllinder, Spherical Shell, Solid Sphere E. Solid Sphere, Solid Cyllinder, Spherical Shell 6. (12 points) A cyllindrical shell, of mass (M 15.kg), radius (R 10.cm is set to roll without slipping from a height of 5.0m down an incline. The speed of the shell when it reaches the bottom of the incline is A. 15. m/s B. 7.0 m/s C. 10. m/s D. 2.01% E. 3.01%

Explanation / Answer

5). lesser the moment of inertia => lesser the initial energy => lesser the final energy => lesser the height

answer is A) spherical shell, solid cylinder, solid sphere

6). Mgh = 0.5Mv2 + 0.5Iw2 = 0.5Mv2 + 0.5(MR2)(v/R)2 = Mv2

=> v = sqrt(gh) = sqrt(9.8 x 5) = 7 m/s

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