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# Initial and final kinetic energies

A string is attached to the rim of a small hoop of radius r = 8.00×10?2 m and mass m = 0.180 kg and then wrapped several times around the rim. If the free end of the string is held in place and the hoop is released from rest and allowed to drop, as shown in the figure (Intro 1 figure) , calculate the angular speed and the translational speed of the rotating hoop after it has descended h = 0.750 m. Use g = 9.80 m/s^2 for the acceleration due to gravity.What are the initial and final potential energies (U_i and U_f) of the hoop?Express the initial and final potential energies symbolically in terms of the variables given in the problem introduction, separated by a comma?What are the initial and final kinetic energies (K_i and K_f) of the hoop?Express the initial and final kinetic energies symbolically in terms of the final velocity v and variables given in the problem introduction, separated by a comma. A string is attached to the rim of a small hoop of radius r = 8.00×10?2 m and mass m = 0.180kg and then wrapped several times around the rim. If the free end of the string is held inplace and…

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