A (44-mathrm{kg}) child runs at (3.0 mathrm{~m} / mathrm{s}) tangent to a stationary (180-mathrm{kg}) playground merry-go-round that

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A \(44-\mathrm{kg}\) child runs at \(3.0 \mathrm{~m} / \mathrm{s}\) tangent to a stationary \(180-\mathrm{kg}\) playground merry-go-round that has a radius of \(1.2 \mathrm{~m}\). The child then jumps on and grabs hold, causing the merry-go-round to rotate. Determine the resulting rotational velocity of the merry-go-round.

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