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A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed...

A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round.

a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child?

b. What is the change in kinetic energy?

c. If instead the merry-go-round is initially rotating with angular speed 3.0 rad/s in the counterclockwise direction what would the final angular velocity be/ What is the final tangential speed of the child?

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