When there is an elastic collision in a system, both the total
momentum as well as the total kinetic energy is conserved. In the case of an inelastic collision
only the total momentum is conserved, the total kinetic energy is not
conserved.
If a collision is being considered the initial kinetic
energy of all the particles undergoing collision should be equal to the kinetic energy of the
particles after the collision. Any reduction is the kinetic energy can be considered to be
wasted energy.
To determine the energy wasted,
you can calculate the total kinetic energy initially and from that subtract the total kinetic
energy after collision. The result you get is the wasted energy. The wasted energy can be in the
form of heat, sound, or creation of bonds between the colliding
particles.
The scenario you have explained is incomprehensible. Just
remember that the wasted energy for an inelastic
collision is the difference between the initial and the final
kinetic energy.
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