In a perfectly inelastic collision, the total momentum of the system ___(i)___ constant, while the total kinetic energy of the system___(ii)___constant.

In a perfectly inelastic collision, the total momentum of the system is constant, while the total kinetic energy of the system is not onstant.

In contrast, the total kinetic energy of the system is not constant. There is a change in kinetic energy of the bodies because some of the energy is lost due to collision,

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(i) Momentum of the system is constant

(ii) Total kinetic energy of the system is not constant.

Explanation:

In perfectly inelastic collision, the total momentum of the system is constant while the the total kinetic energy of the system is not constant. The total; kinetic energy is not constant because some of the energy is lost in the process of collision. In this case, two bodies sticks together and both will move with a constant velocity. Also, the coefficient of restitution is equal to 0.

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