Two spheres of equal mass and radius arerolling across the floor with the same speed. Sphere 1 is a uniformsolid; sphere 2 is hollow. Is the work required to stop sphere 1greater than, less than, or equal to the work required to stop sphere2? (b) Choose the best explanation from among the following:I. Sphere 2 has the greater moment of inertia and hence thegreater rotational kinetic energy.II. The spheres have equal mass and speed; therefore, they havethe same kinetic energy.III. The hollow sphere has less kinetic energy.

Question

Two spheres of equal mass and radius are
rolling across the floor with the same speed. Sphere 1 is a uniform
solid; sphere 2 is hollow. Is the work required to stop sphere 1
greater than, less than, or equal to the work required to stop sphere
2? (b) Choose the best explanation from among the following:
I. Sphere 2 has the greater moment of inertia and hence the
greater rotational kinetic energy.
II. The spheres have equal mass and speed; therefore, they have
the same kinetic energy.
III. The hollow sphere has less kinetic energy.

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Rotational Mechanics

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