An object with total mass M = 15.6 kg is sitting at rest at the origin when it explodes into three pieces. One piece with mass m1 = 4.85 kg moves up and to the left at an angle of θ1 = 23.0∘ above the negative x-axis with a speed of v1 = 27.9 m/s. A second piece with mass m2 = 5.40 kg moves down and to the right at an angle of θ2 = 28.0∘ to the right of the negative y-axis at a speed of v2 = 20.1 m/s. A third piece with mass m3 moves with velocity v→3. What is the magnitude pf of the final momentum of the system comprising all three pieces? pf = kg⋅m/s
