Loss of kinetic energy in perfect inelastic collision
In perfectly inelastic collision, the loss in kinetic energy during collision is transformed to another form of energy like sound, thermal, heat, light etc. Let KEi be the total kinetic energy before collision and KEf be the total kinetic energy after collision.
Total kinetic energy before collision,
Total kinetic energy after collision,
Then the loss of kinetic energy is Loss of KE, ∆Q = KE i – KEf
Substituting equation (4.63) in equation (4.66), and on simplifying (expand v by using the algebra (a+b) 2 = a2+b2+2ab, we get