Perfectly Inelastic Collision

v^{'} = \frac{m _{1} v _{1} + m _{2} v _{2}}{m _{1} + m _{2}}

Objects stick together after collision. Maximum KE loss.

Variables

v'

Final velocity

Combined velocity after collision

m/s

m₁

Mass of object 1

First object mass

kg

m₂

Mass of object 2

Second object mass

kg

v₁

Velocity of object 1

Before collision

m/s

v₂

Velocity of object 2

Before collision

m/s

Derivation

Conservation of momentum with v₁' = v₂' = v'.

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