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COMEDK · Physics · 7. Center of Mass Momentum and Collision

A bomb of mass 20 kg at rest explodes into two pieces of masses 12 kg and 8 kg . If the velocity of 8 kg mass is \(6 \mathrm{~ms}^{-1}\), then the kinetic energy of the other mass is:

  1. A 144 J
  2. B 64 J
  3. C 96 J
  4. D 86 J
Verified Solution

Answer & Solution

Correct Answer

(C) 96 J

Step-by-step Solution

Detailed explanation

Let \(M = 20\) kg be the mass of the bomb, \(m_1 = 12\) kg, and \(m_2 = 8\) kg be the masses of the two pieces. Let \(v_1\) and \(v_2\) be the velocities of the two pieces respectively. Initially, the bomb is at rest, so the initial momentum is zero. According to the law of…