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436. assignment (momentum conservation)

A spaceship of mass 2.20×106kg is cruising at a speed of 5.00×106m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 4.90×105kg , is blown straight backward with a speed of 2.00×106m/s . A second piece, with mass 7.80×105kg , continues forward at 1.20×106m/s .


what is the speed of the third piece?
is the direction forward or backwards?

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