Ahollow sphere of radius 050 m with rotational inertia i , Ask an Expert

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A hollow sphere of radius 0.50 m, with rotational inertia I = 0.038 kg m² about a linethrough its center of mass, rolls without slipping up a surfaceinclined at 40° to the horizontal. Ata certain initial position, the sphere's total kinetic energy is60 J.

a) How much of this initial kinetic energy is rotational?
b) What is the speed of the center of mass of the sphere at the initial position?
Now, the sphere moves 1.0 m up the incline from its initialposition.
c) What is its total kinetic energy now?
d) What is the speed of its center of mass now?

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