Kinetic Energy Loss in a Perfectly Inelastic Collision
Two objects, with masses m₁ and m₂ and initial velocities v₁ and v₂, undergo a perfectly inelastic collision in which they stick together. Which of the following expressions represents the fraction of the total initial kinetic energy lost during the collision?
A
m₁m₂/(m₁+m₂)
B
(m₁-m₂)²/(m₁+m₂)²
C
0.5(m₁v₁² + m₂v₂²)
D
1 - (m₁m₂)/(m₁+m₂)²·(v₁-v₂)²/(v₁²/m₂+v₂²/m₁)
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