Two objects, each of mass 1.5 kg, are moving in the same straight line but in opposite directions. The velocity of each object is 2.5 ms-1 before the collision during which they stick together. What will be the velocity of the combined object after collision?
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Given :
Two objects each of mass 1.5kg are moving in the same straight line but in opposite directions at a velocity of 2.5m/s.
They stick together after collision.
To Find :
Velocity of combined object after collision.
Solution :
❖ Since no net force acts on the whole system, linear momentum of system is conserved.
- Here initial momentum of the system will be equal to the final momentum of the system.
We know that momentum is measured as the product of mass and velocity
➙ P [Initial] = P [Final]
➙ m₁u₁ + m₂u₂ = (m₁ + m₂) v
- u denotes initial velocity
- v denotes final velocity of the combined mass
By substituting the given values;
➙ (1.5)(2.5) + (1.5)(-2.5) = (1.5 + 1.5)v
- Negative sign of u₂ shows opposite direction.
➙ 3.75 - 3.75 = 3v
➙ 0 = 3v
➙ v = 0 m/s
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