In a completely inelastic collision, the two colliding particles stick together after the collision and move with the same velocity.
This type of collision results in the maximum possible loss of kinetic energy because some of the kinetic energy is converted into other forms of energy (like heat or deformation), but the momentum of the system is conserved.
Key characteristics of completely inelastic collisions:
Elastic collision: In an elastic collision, both momentum and kinetic energy are conserved. The particles do not stick together after the collision.
Partial inelastic collision: This refers to collisions where the particles do not stick together, but some kinetic energy is lost.
Since the problem specifies that the particles move together after the collision, this is an example of a completely inelastic collision.
Thus, the correct answer is:
\[ \boxed{\text{A) Completely inelastic collision}} \]
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