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A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular...

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Physics

A disk-shaped merry-go-round of radius 2.63 m and mass 155 kgrotates freely with an angular speed of 0.570 rev/s. A 59.4-kgperson running tangential to the rim of the merry-go-round at 3.82m/s jumps onto its rim and holds on. Before jumping on themerry-go-round, the person was moving in the same direction as themerry-go-round's rim.

(a) Does the kinetic energy of the system increase, decrease, orstay the same when the person jumps on the merry-go-round?


(b) Calculate the initial and final kinetic energies for thissystem.

Ki =  ___ kJ
Kf =___ kJ

Answer & Explanation Solved by verified expert
4.1 Ratings (670 Votes)
Moment of inertia of the merrygoround mr22 Moment of inertia of the merrygoround 155 2632 2 Now mr2 155 2632 2 m 155 2 775 kg Tangential velocity of this single point mass 0570 2    See Answer
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