3 Ice Skaters A choreographer is proposing a new stunt for a pair of ice skaters. Two skaters, each of mass 50 kg. will approach each other along parallel paths separated by 3.0 m. The will have equal and opposite velocities of 10m/s. The first skater will carry a long, light pole that is 3.0m long, and the second skater will grab the end of the pole as the skaters pass. Assume frictionless ice, and ignore the mass of the pole. (a) With what angular speed will the skaters rotate around their common center of mass once they are connected by the pole? (b) By pulling on the pole, the skaters will reduce their separation to 1.0m. What will be their final angular speed? (c) Evaluate your results. Should the skaters attempt this stunt?

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3 Ice Skaters
A choreographer is proposing a new stunt for a pair of ice skaters. Two skaters, each of mass 50 kg, will approach each
other along parallel paths separated by 3.0m. The will have equal and opposite velocities of 10 m/s. The first skater will
carry a long, light pole that is 3.0 m long, and the second skater will grab the end of the pole as the skaters pass.
Assume frictionless ice, and ignore the mass of the pole.
(a) With what angular speed will the skaters rotate around their common center of mass once they are connected by
the pole?
(b) By pulling on the pole, the skaters will reduce their separation to 1.0m. What will be their final angular speed?
(c) Evaluate your results. Should the skaters attempt this stunt?
Transcribed Image Text:3 Ice Skaters A choreographer is proposing a new stunt for a pair of ice skaters. Two skaters, each of mass 50 kg, will approach each other along parallel paths separated by 3.0m. The will have equal and opposite velocities of 10 m/s. The first skater will carry a long, light pole that is 3.0 m long, and the second skater will grab the end of the pole as the skaters pass. Assume frictionless ice, and ignore the mass of the pole. (a) With what angular speed will the skaters rotate around their common center of mass once they are connected by the pole? (b) By pulling on the pole, the skaters will reduce their separation to 1.0m. What will be their final angular speed? (c) Evaluate your results. Should the skaters attempt this stunt?
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