The (50-mathrm{g}) bullet traveling at (600 mathrm{~m} / mathrm{s}) strikes the 4 - (mathrm{kg}) block centrally and

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The \(50-\mathrm{g}\) bullet traveling at \(600 \mathrm{~m} / \mathrm{s}\) strikes the 4 - \(\mathrm{kg}\) block centrally and is embedded within it. If the block slides on a smooth horizontal plane with a velocity of \(12 \mathrm{~m} / \mathrm{s}\) in the direction shown prior to impact, determine the velocity \(\mathbf{v}_{2}\) of the block and embedded bullet immediately after impact.

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