Two bodies a and b masses 4kg and 2kg move towards each other with velocities 3m/s and 2m/s and collide. If the collision is perfectly inelastic, find the velocity

Question

of the 2 bodies after collision. Find the tolal kinetic energy of the system before and after collision, hence calculate the loss in kinetic energy.

Answer 1

If it is perfectly inelastic, no bounce at all, then they are stuck together after the collision and all the momentum is in one 6 kg mass

4*3 - 2*2 = 6 * v

before ke = (1/2)(4)(9) + (1/2)(2)(4)

after ke = (1/2)(6)v^2