A 37.0 kg child runs with a speed of 2.50 m/s tangential to the rim of a stationary merry-go-round(Figure 1) . The merry-go-round has a moment of inertia of 546 kg m^2 and a radius of 2.41 m . When the child jumps onto the merry-go-round, the entire system begins to rotate.
(A) Calculate the initial kinetic energy of the system
(Ki units J).
(B) Calculate the final kinetic energy of the system
(Kf units J).