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A spaceship of mass 2.2×106 kg is cruising at a speed of 5.6×106 m/s when the...

A spaceship of mass 2.2×106 kg is cruising at a speed of 5.6×106 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.1×105 kg , is blown straight backward with a speed of 1.8×106 m/s . A second piece, with mass 7.6×105 kg , continues forward at 1.3×106 m/s . What is the speed of the third piece?

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