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AP Physics C: Mechanics/Unit 4 – Linear Momentum
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Kinetic Energy Loss in a Perfectly Inelastic Collision
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Two objects with masses m₁ and m₂ collide and stick together. If the initial kinetic energies of the objects are K₁ and K₂, what fraction of the initial kinetic energy is lost in this perfectly inelastic collision?

A

0.5(m₁v₁² + m₂v₂²)

B

(m₁-m₂)²/(m₁+m₂)²

C

1 - (m₁m₂)/(m₁+m₂)²·(v₁-v₂)²/(v₁²/m₂+v₂²/m₁)

D

m₁m₂/(m₁+m₂)

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