A kid runs towards the edge of a merry-go-round that is not rotating and jumps on. The merry-go-round then rotates with

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A kid runs towards the edge of a merry-go-round that is not
rotating and jumps on. The merry-go-round then rotates with a
constant angular velocity ω. Assume that the kid has a mass of 40
kg and is initially running at a speed of 2 m/s tangent to the edge
of the merry-go-round. The merry-go-round is a uniform disk with a
mass of 120 kg and a radius of 2 m. Assume that it rotates without
friction.
What is the initial angular momentum Li of the
system (kid plus merry-go-round)?
What is the final angular momentum Lf of the
system?
What is the final moment of inertia If of the
system after the kid jumps on the merry-go-round?
What is the final angular velocity ωf of the
merry-go-round (with the kid riding)?
What is the speed of the kid riding on the edge of the
merry-go-round?