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A hoop of mass M=2 kg, and radius R=0.05 m, is rolling down an inclined plane of vertical height 1 meter, at an angle of 10° above the floor. At the same time, a hollow sphere with the same mass and radius starts rolling down the hill! Assume there is no friction between the objects and the inclined plane. (Please show work)
(1) Find the initial potential energy of the hollow sphere.
(2) Find the initial potential energy of the hoop.
(3) Find the final velocity of the hollow sphere.
(4) Find the final velocity of the hoop.
(5) Find the final translational kinetic energy of the hollow sphere. Is this equal to the initial potential energy? Why or why not?
(6) Which object gets to the bottom of the inclined plane faster? Explain.
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