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A solid disk, ( ) with a 0.25 meter radius and a mass of 0.35 kilograms...

A solid disk, ( ) with a 0.25 meter radius and a mass of 0.35 kilograms is rolling along at a constant speed. The disk is rolling with a rotational speed of 38 radians per second.

(a) Find the linear speed of the disk in m/s.

(b) Calculate the total kinetic energy of the disk in joules.

(c) Suppose the disk begins rolling down a steep incline. Determine the speed of the disk when it is 6.5 meters below its starting height. Express your answer in m/s.

(d) Suppose the solid disk was replaced by a hollow wheel with the same mass and size. Given the same initial speed, would the wheel take more time, less time or the same amount of time to reach the bottom of the incline? Explain.

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