Two children (m = 31.0 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 x 102 kg and a radius of 1.2 m, is spinning at a constant rate of 0.48 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.) 576 X Your response differs from the correct answer by more than 10%. Double check your calculations. kg m/s (b) Calculate the total kinetic energy of the system. 654 x Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular speed of the system. 3.22 x Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s