Question

A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of 0.673 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 3.17 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. (a) Does the kinetic energy of the system increase, decrease, or stay the same when the person jumps on the merry-go-round? decrease increase stay the same Correct: Your answer is correct. (b) Calculate the initial and final kinetic energies for this system. Ki = Incorrect: Your answer is incorrect. kJ Kf = Correct: Your answer is correct. kJ I need K initial

Answer 1

Idise = meine mer 9.63 -disc 155 x 155 x 9,69% = 536 536.06 Kg.ma ... = w = 0.673 rev= 0.673x za rad S = 4.23 gadis ki = 1 I w²+ Žm ve " o for man := * 536.06 *(4.23)2+ 'a * 59.4 x 3.172 . 5091:07 J ~ 5100 J

K_initial= 5.09 kJ