A merry-go-round with, radius 3 m rotates freely with an angular speed of 2/pi rev/s. Its kinetic energy is 4000 J. A 50 kg person running tangential to the rim of the merry-go-round at 3 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim.
What is the final angular speed of the merry-go-round and the person after the person jumps on?