how to prove that total kinetic energy after inelastic collision will be definitely less than the total kinetic energy before the inelastic collision. thanskthanks
Calculate the kinetic energy of the system before the collision, and after. That will show you they are not the same.
Use conservation of momentum to find the velocity of the objects after the collision. You'll also need to remember that in a perfectly inelastic collision, the objects stick together.
You originally asked, "how to prove that total kinetic energy after inelastic collision will be definitely less than the total kinetic energy before the inelastic collision. " What DEFINITION of "inelastic collision" are you using?? The only one I know is that kinetic energy is after the collision is lower than the kinetic energy before the collision!
I suspect they're using the "objects stick together" criteria to identify perfectly inelastic collisions. It's a bit arse-about, but it's the way they did it in my physics classes at school.