How to Calculate Inelastic Collision Velocity?

Definition:

An inelastic collision is opposite to an elastic collision. It is a collision in which kinetic energy is not maintained.

Example:

Stationary object has mass of 4 kg with initial velocity 5 ms^-1 and moving object has mass of 5 kg. Then find the initial velocity of a moving object?

Given:

Mass of Stationary Object (m₁) = 4 kg Mass of Moving Object (m₂) = 5 kg Velocity of Stationary Object (v₁) = 5 ms^-1

Solution:

Subsuite the given values in this formulla m₁v₁ = (m₁+m₂)v₂ v₂ = m₁ v₁ / (m₁+m₂) v₂ = 4x5 / (4 + 5) v₂ = 2.22 ms^-1