A body of mass 3 ~kg is moving with a velocity of 8 ~ms ⁻¹ collides head on with another body of mass 1 ~kg , moving in the opposite direction with a velocity of 4 ~ms ⁻¹ . After the collision, if the two bodies stick together and move, they move with a common velocity

Step-by-step solution

Given, mass, m₁=3 ~kg Velocity, v₁=8 ~ms ⁻¹ Mass of another body, m₂=1 ~kg Velocity of another body, v₂=4 ~ms ⁻¹ After collision, both bodies stick together and move with a common velocity, applying conservation of momentum, m₁ v₁-m₂ v₂= (m₁+m₂ ) v where, v is the common velocity. aligned & (3 8)-(1 4)=(3+1) v v & = 20 4 & =5 ~ms ⁻¹ aligned