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A 25 kg child at a playground runs with an initial speed of 2.5 m/s along a path tanget to the rim of a merry-go-round with a radius of 2.0 m and jumps on. The merry-go-round, which is initially at rest, has a moment of inertia of 500 kg m2. Find the angular velocity of the child and merry-go-round. Hint: the child and the merry-go-round form a system.

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