Two ice skaters, both of mass 68 kgkg, approach on parallel paths 1.6 mm apart. Both are moving at 3.0 m/sm/s with their arms outstretched. They join hands as they pass, still maintaining their 1.6 mm separation, and begin rotating about one another. Treat the skaters as particles with regard to their rotational inertia. a) What is their common angular speed after joining hands? Express your answer in radians per second. b) Calculate the change in kinetic energy for the process described in a). Express your answer with the appropriate units. c) If they now pull on each other’s hands, reducing their radius to half its original value, what is their common angular speed after reducing their radius? Express your answer in radians per second. d) Calculate the change in kinetic energy for the process described in part c). Express your answer with the appropriate units.
Two ice skaters, both of mass 68 kgkg, approach on parallel paths 1.6 mm apart. Both are moving at 3.0 m/sm/s with their arms outstretched. They join hands as they pass, still maintaining their 1.6 mm separation, and begin rotating about one another. Treat the skaters as particles with regard to their rotational inertia.
a) What is their common angular speed after joining hands? Express your answer in radians per second.
b) Calculate the change in kinetic energy for the process described in a). Express your answer with the appropriate units.
c) If they now pull on each other’s hands, reducing their radius to half its original value, what is their common angular speed after reducing their radius? Express your answer in radians per second.
d) Calculate the change in kinetic energy for the process described in part c). Express your answer with the appropriate units.
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