Answer:
The final kinetic energy of the system is 8.58 m/s
Solution:
As per the question:
Radius of merry-go-round, R = 2.93 m
Mass of merry-go-round, m = 165 kg
Angular speed,
Velocity of the merry-go-around, v = 3.11 m/s
Mass of man, M = 62.4 kg
Now,
To calculate the moment of inertia of the merry-go-round:
Initially, the angular momentum is given by:
The final angular momentum is given by:
where
= final angular velocity
Now, by conservation of momentum:
Initial momentum = Final momentum
The final linear velocity, v' of the system: