Question

Ball 1, with a mass of 100g and traveling at 12.0m/s , collides head on with ball 2, which has a mass of 340gand is initially at rest.

A. What are final velocities of each ball if the collision is perfectly elastic? (v_fx)₁ , (v_fx)₂

B. What are final velocities of each ball if the collision is perfectly inelastic?

Answer 1

A ) in elastic collision v₁ = ( m₁-m₂ / m₁+ m₂ ) u₁ + ( 2m₂ / m₁ + m₂ ) u₂

                                 v₁ =( - 240 /440 )*12 + 0

                                v ₁ = -6.54 m/s

here -ve sign indicates after collision the ball is moving in oppsitte direction

                              v₂ = ( 2m₁ / m₁ + m₂ )u₁ + ( m₂ - m₁ / m₁ +m₂ ) u₂

                             v₂ = 5.45 m/s

B )     In inelastic collision v = m₁u₁ + m₂u₂ / m₁+ m₂

                                       v = 2.72 m/s