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A merry-go-round with a a radius of R = 1.75 m and moment of inertia I...

A merry-go-round with a a radius of R = 1.75 m and moment of inertia I = 182 kg-m2 is spinning with an initial angular speed of ω = 1.4 rad/s in the counter clockwise direection when viewed from above. A person with mass m = 71 kg and velocity v = 4.4 m/s runs on a path tangent to the merry-go-round. Once at the merry-go-round the person jumps on and holds on to the rim of the merry-go-round.

1)What is the magnitude of the initial angular momentum of the merry-go-round?
kg-m2/s

2)What is the magnitude of the angular momentum of the person 2 meters before she jumps on the merry-go-round?
kg-m2/s

3)What is the magnitude of the angular momentum of the person just before she jumps on to the merry-go-round?
kg-m2/s

4)What is the angular speed of the merry-go-round after the person jumps on?
rad/s

5)Once the merry-go-round travels at this new angular speed, with what force does the person need to hold on?
N

6)

Once the person gets half way around, they decide to simply let go of the merry-go-round to exit the ride.

What is the magnitude of the linear velocity of the person right as they leave the merry-go-round?
m/s

7)What is the angular speed of the merry-go-round after the person lets go?

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