Two objects, a Hula hoop and a solid cylinder, both with a mass of 2.75 kg and with an initial speed of 4.5 m/s are rolling wihtout slipping along a horizontal surface. Then they roll down a ramp that

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Two objects, a Hula hoop and a solid cylinder, both with a mass of 2.75 kg and with an initial speed of 4.5 m/s are rolling wihtout slipping along a horizontal surface. Then they roll down a ramp that makes a 25 degrees angles below the horizontal, as shown in the figure below.

(a) What are the rotational kinetic energy of the hoop and cylinder after they have rolled 3.0 m down the ramp?

(b) Obtain the translational kinetic energies at the bottom of the ramp.

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