A spaceship of mass 2.30×106kg is cruising at a speed of 5.50×106m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.20×105kg , is blown straight backward with a speed of 2.30×106m/s . A second piece, with mass 8.40×105kg , continues forward at 1.30×106m/s .
The Attempt at a Solution
Using mv=p, I calculated p of each piece like this:
p1 = 1.196*10^12
p2 = 1.092*10^12
p_total = 1.265*10^13
Then I found p3 by subtracting p2+p1 from p_total.
I divided p3 by the mass of the mystery piece: p/940,000 = 1.0302*10^13
But... the answer was wrong. I also tried subtracting: p1-p2 =pt and working from there. What am I doing wrong?