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'.

Your notes

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