A spaceship of mass 2.0×106 kg is cruising at a speed of 6.0×106 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 2.1×106 m/s . A second piece, with mass 8.0×105 kg , continues forward at 1.0×106 m/s .What is the speed of the third piece? Assume that the initial speed of the ship is positive.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter8: Momentum And Collisions
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A spaceship of mass 2.0×106 kg is cruising at a speed of 6.0×106 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 2.1×106 m/s . A second piece, with mass 8.0×105 kg , continues forward at 1.0×106 m/s .What is the speed of the third piece? Assume that the initial speed of the ship is positive.

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