This follows the law of conservation of momentum. Momentum is the product of mass and velocity of object. Momentum = mass(m) x velocity(v) law of conservation of momentum means that the total momentum of system before the collision of 2 objects is equal to the total momentum after the collision Before the collision total momentum = m1v1 + m2v2 m1 = 2 kg v1 = 2 m/s m2 = 6 kg v2 = 0 m/s substituting the values in the equation total momentum before = (2 kg x 2 m/s) + (6 kg x 0 m/s) total momentum = 4 kgm/s after the collision the 2 objects stick together and have a common velocity total momentum after the collision = (6 kg + 2 kg)x V = 8V V = speed of the conglomerate particle
since total momentum before is equal to total momentum after 8V = 4 V = 2 m/s speed of conglomerate particle is 2 m/s