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Two children (m = 28.0 kg each) stand opposite each other on the edge of a...

Two children

(m = 28.0 kg

each) stand opposite each other on the edge of a merry-go-round. The merry-go-round, which has a mass of 1.72 ? 102 kgand a radius of 1.4 m, is spinning at a constant rate of 0.44 rev/s. Treat the two children and the merry-go-round as a system.

(a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.)

(b) Calculate the total kinetic energy of the system.

(c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular speed of the system.

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