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Per NCERT §5.11.2, the KINETIC energy LOST in a completely inelastic 1D collision (m₁ at v₁ hitting m₂ at rest) is which?
AZero, KE is perfectly conserved
B(1/2) (m₁ m₂ / (m₁ + m₂)) v₁²
C(1/2) (m₁ + m₂) v₁² (gain KE)
D(1/2) m₁ v₁² (entire initial KE)
Answer & Solution
Correct answer: B. (1/2) (m₁ m₂ / (m₁ + m₂)) v₁²
NCERT §5.11.2: ΔK_lost = (1/2)(m₁m₂/(m₁+m₂))v₁². Note μ = m₁m₂/(m₁+m₂) is reduced mass.
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