A merry-go-round modeled as the disk of mass M = 1.17 x 102 kg and radius R = 2.50 m is rotating in the horizontal plane around a frictionless vertical axle. After a student having mass m = 55.1 kg jumps onto the merry-go-round, the angular speed of system reduces to 1.91 rad/s. cedge toward the center, determine the angular speed of the system if she reaches a point of 0.489 m from the center.(ii) Determine the angular speed of the merry-go-round before the student jumped on, supposing the student did not transfer any momentum or energy as she jumped on the merry-go-round.(iii) Determine by how much did the kinetic energy of the system modify when the student jumped on? Notice that energy is lost in this procedure, as must be expected, as it is basically a perfectly inelastic collision.