A two-stage rocket is traveling at (4000 mathrm{~m} / mathrm{s}) before the stages separate. The (3000-mathrm{kg}) first
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A two-stage rocket is traveling at \(4000 \mathrm{~m} / \mathrm{s}\) before the stages separate. The \(3000-\mathrm{kg}\) first stage is pushed away from the second stage with an explosive charge, after which the first stage continues to travel in the same direction at a speed of \(2500 \mathrm{~m} / \mathrm{s}\).
(a) How fast, and in what direction, is the \(1500-\mathrm{kg}\) second stage traveling after separation?
(b) How much energy is released by the explosive separation of the two stages?
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