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16. A solid sphere of weight 39.0 N rolls up an incline at an angle of 33.0°. At the bottom of the incline the center of mass of the sphere has a translational speed of 5.30 m/s. (a) What is the kinetic energy of the sphere at the bottom of the incline? (b) How far does the sphere travel up along the incline? (c) Does the answer to (b) depend on the sphere’s mass?

14. A man stands on a platform that is rotating (without friction) with an angular speed of 1.51 rev/s; his arms are outstretched and he holds a brick in each hand. The rotational inertia of the system consisting of the man, bricks, and platform about the central axis is 4.52 kg·m2. If by moving the bricks the man decreases the rotational inertia of the system to 1.44 kg·m2, (a) what is the resulting angular speed of the platform and (b) what is the ratio of the new kinetic energy of the system to the original kinetic energy?

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