1. The problem statement, all variables and given/known data A comet of mass 6000 kg travelling at 30 000 m/s splits into two pieces that move apart with velocities that make equal angles of 20° relative to the original trajectory. If one piece is found to be 5 times the mass of the other...calculate the mass of each piece, find the impulse of the system, and calculate the velocities of the two pieces. 2. Relevant equations P = mv P total before = P total after Impulse = ΔP 3. The attempt at a solution Mass 1 = 1000 kg and Mass 2 = 5000kg i assumed that mass one travelled 20° above the horizontal, while mass two travelled 20° below the horizontal. So; P before = mv = (6000kg)(30 000 m/s) = 1.8 x 10^8 kg m/s [+x] P1 after = m1v1 = 1000v1 kg m/s [+x 20° +y] P1 after X = 1000(v1) kg m/s cos20° = 939.69(v1) [+x] P1 after Y = 1000(v1) kg m/s sin20° = 342.02(v1) [+y] P2 after = m2v2 = 5000v2 kg m/s [+x 20° -y] P2 after x = 5000(v2)cos20° = 4698.46(v2) [+x] P2 after y = 5000(v2)sin20° = 1710(v2) [-y] Vector Equations x: 1.8 x 10^8 kg m/s = 939.69(v1) + 4698.46(v2) y: 0 = 342.02(v1) - 1710(v2) I'm not sure how to solve for the velocities at this point, any help is appreciated. Thank you!