ISRO Mechanical & Aerospace 2013 - Question 55

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Two objects P & Q are travelling horizontally with velocity of 8m/sec & 6m/sec from left to right. They are separated by a distance of 15m. The mass of the objects are 3 kg and 5 kg. If the coefficient of restitution is 0.7 what is the velocity (m/s) of P and Q after impact...

  • A. 7.6, 5.4, ...
  • B. 8, 6, ...
  • C. 7.6, 6.2, ...
  • D. None of these

Answer: D. None of these

Explanation: Conservation of momentum: 3(8) + 5(6) = 24 + 30 = 54. 3v1 + 5v2 = 54. e = (v2 - v1) / (u1 - u2) = 0.7. v2 - v1 = 0.7(8-6) = 1.4. v2 = v1 + 1.4. 3v1 + 5(v1+1.4) = 54. 8v1 + 7 = 54. 8v1 = 47. v1 = 5.875. v2 = 7.275. Options don't match well.

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