A disk-shaped merry-go-round of radius 2.99 and mass 170 rotates freely with an angular speed of 0.623 . A 59.3 person running tangential to the rim of the merry-go-round at 3.31 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.
a) Does the kinetic energy of the system increase, decrease, or stay the same when the person jumps on the merry-go-round?
b) Calculate the initial kinetic energy for this system.
c) Calculate the final kinetic energy for this system.