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Two objects each of mass 1.5kg are moving in the same straight line but in opposite directions.The velocity of each object is 2.5m/s before collision during which they stick together .What will be the velocity of the combined object after collision?
Mass of one of the objects, m1 = 1.5 kg
Mass of the other object, m2 = 1.5 kg
Velocity of m1 before collision, v1 = 2.5 m/s
Velocity of m2, moving in opposite direction before collision, v2 = -2.5 m/s
(Negative sign arises because mass m2 is moving in an opposite direction)
After collision, the two objects stick together.
Total mass of the combined object = m1 + m2
Velocity of the combined object = v
According to the law of conservation of momentum:
Total momentum before collision = Total momentum after collision
m1v1 + m2v2 = (m1 + m2) v
1.5(2.5) + 1.5 (-2.5) = (1.5 + 1.5) v
0 = 3v
so, v = 0
Hence, the velocity of the combined object after collision is 0 m/s.


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