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 2.5ms-1 before the collision during which they stick together is what will be the velocity of combined object after collision?

Two objects, each of mass 1.5 kg are moving in the same straight line

1.	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 2.5ms-1 before the collision during which they stick together is what will be the velocity of combined object after collision?
Answer» Mass of the first object, m₁ = 1.5 Kg. Mass of second object m₂ = 1.5 Kg. Velocity of first object before collision, u₁ = 2.5 ms^-1 velocity of second object before collision, u₂ = -2.5 ms^-1 Here negative sign is taken because second object is moving in the direction opposite to the direction of motion of first object. Mass of combined object after collision M = m₁ + m₂ (Since they stick together) = 1.5 + 1.5 = 3 Kg. Let velocity of combined object after collision be vms^-2 Here there is no external force, so from law of conservation of momentum Momentum after collision = Momentum before collision mv = m₁u₁ + m₂u₂ 3 × v = 1.5 × 2.5 + 1.5 (-2.5) =0 ∴ v = 0.