A carousel is free to rotate about its center, Physics

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A carousel is free to rotate about its center

a carousel is free to rotate about its center onfrictionless bearings the carousel has an angular speed of 3.14rad/s , a moment of inertia of 125 kg/m^2, and a radiusof 1.5 m. a 40 kg person standing still next to thecarousel junps onto it on the outer edge, what is the resulting angular speed of the carousel and the person?

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