Two objects of masses 200 and 400g are moving along the same line and direction with velocities of 4 metre per second and 2 metre per second respectively the line and after they collide and affir the collision the first object moves at a velocity of 1.6 metre per second determine the velocity ofthe second object

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Solution

Mass of one of the objects, m₁= 200 g = 0.2 kg

Mass of the other object, m₂ = 400 g = 0.4 kg

Velocity of m₁ before collision, v₁ = 4 m/s

Velocity of m₂ before collision, v₂ = 2 m/s

Velocity of m₁ after collision, v₃ = 1.6 m/s

Velocity of m₂ after collision = v₄ = ?

According to the law of conservation of momentum:

Since no external force acts on them, the net change in momentum is zero.

Total momentum before collision = Total momentum after collision

m₁v₁+ m₂v₂ = m₁v₃ + m₂v₄

⇒ 0.2×4 + 0.4×2 = 0.2×1.6 + 0.4×v₄

⇒ 1.6 = 0.32 + 0.4×v₄

⇒ v₄ = 3.2 m/s

Hence, the velocity of the second object becomes 3.2 m/s after the collision.

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