Advanced — Head-on ElasticHardQuestion 30473
Question
Mass m collides elastically with 2m at rest. Fraction of KE transferred to 2m is:
- A1/2
- B8/9Correct
- C2/3
- D4/9
Correct answer
8/9
Explanation
v₂' = 2mv/(m+2m) = 2v/3. KE_transferred = ½(2m)(2v/3)² = ½×2m×4v²/9 = 4mv²/9. Fraction = (4mv²/9)/(½mv²) = 8/9.