CBSE Class 11-science Answered

• The collision in which momentum is conserved with some loss in kinetic energy and the colliding bodies stick together and continue to move as a single body along the same straight line after the collision is called a perfectly inelastic collision in one dimension.
• Consider two bodies A and B of masses m₁ and m₂ moving along the same straight line with velocities u₁ and u₂ respectively.
• After the collision, the two bodies stick together and continue to move along the same straight line.

• Let 'v' be the common velocity of the two bodies after the collision.
• According to the law of conversation of momentum,

m₁ u₁ + m₂ u₂ = (m₁ + m₂) v

or