A string is attached to the rim of a small hoop of radius r = 8.00x10-2 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 (Figure 1), 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? for the acceleration due to gravity. What are the initial and final kinetic energies (K; and K ) 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. • View Available Hint(s) Π ΑΣφ ?

Question

The coorect answer should have variable m in it

A string is attached to the rim of a small hoop of radius r =
8.00x10-2 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 (Figure 1), 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? for the acceleration due to gravity.
What are the initial and final kinetic energies (K; and K ) 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.
• View Available Hint(s)
Π ΑΣφ
?
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Transcribed Image Text

A string is attached to the rim of a small hoop of radius r = 8.00x10-2 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 (Figure 1), 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? for the acceleration due to gravity. What are the initial and final kinetic energies (K; and K ) 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. • View Available Hint(s) Π ΑΣφ ?

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