Given data:
The mass of piece 1 is m₁=6 kg.
The mass of piece 2 is m₂=4 kg.
The mass of third piece is m₃=1.5 kg.
The velocity of piece 1 is v₁=5 m/s with angle 45 of west.
The velocity of piece 2 is v₂=5 m/s with angle 75 of east.
Initially all the masses are at rest therefore the initial velocity is zero, i.e. v=0.
In the explosion the momentum of all the particle remains constant. Applying the conservation of momentum before and after the collision in horizontal direction as,
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