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On a playground, a merry-go-round with a total mass of 100 kg and a radius of...

On a playground, a merry-go-round with a total mass of 100 kg and a radius of 2.5mis rotating counterclockwise around its center with an angular speed of 0.5 rad/s. A girl with a mass of 40 kgruns at a speed of 4 m/s towards the edge of the merry-go-round and jumps on, as shown. What is the angularvelocity (magnitude and direction) of the merry-go-round after the girl lands on it? Assume the merry-go-roundis a uniform disk and treat the girl as a point particle.

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