I used MV = m1v1 - m2v2 + m3v3 I keep getting the incorrect answer. Please someo

Question

I used MV = m1v1 - m2v2 + m3v3

I keep getting the incorrect answer.

Please someone can do the calculation to see what you get? I am stumped.

Problem 9.71 A spaceship of mass 2.20x10^6kg is cruising at a speed of 4.90 x 10^6m/s when the antimatter reactor Fails, blowing the ship into three pieces. One Section, having a mass of 480 x10^5kg, is blown straight backward with a speed of 240 x10^6m/s A second piece, with mass 7.50 x 10^5kg, continues forward at 8.00 x10^5m/s. What is the speed of the third piece? Express your answer with the appropriate units.

Explanation / Answer

MV = -m1v1 + m2v2 + m3v3

because particle 1 goes backward

particle 2 goes forward

particle 3 unknown

==> 2.2E6*4.9E6 = -0.48E6*2.4E6 + 0.75E6*0.8E6 + (2.2-0.48-0.75)E6*v^3

cancelling the order of 10

==> 2.2*4.9 = -0.48*2.4 + 0.75*0.8 + (2.2-0.48-0.75)*v^3E-6

==> v3 = ( 2.2*4.9+0.48*2.4-0.75*0.8)E6/(2.2-0.48-0.75) = 11.68 E6

==> v3 = 11.68 E6 m/s

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