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

A bomb of mass \(18 \mathrm{~kg}\) at rest explodes into two pieces of masses \(6 \mathrm{~kg}\) and \(12 \mathrm{~kg}\). The velocity of \(12 \mathrm{~kg}\) mass is \(4 \mathrm{~m} / \mathrm{s}\). The kinetic energy of the other mass is

  1. A \(288 \mathrm{~J}\)
  2. B 192 J
  3. C \(96 \mathrm{~J}\)
  4. D \(144 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(B) 192 J

Step-by-step Solution

Detailed explanation

Mass of bomb, \(M=18 \mathrm{~kg}\) Mass of pieces, \(m_{1}=6 \mathrm{~kg}, m_{2}=12 \mathrm{~kg}\) Velocity of \(12 \mathrm{~kg}\) mass, \(v_{2}=4 \mathrm{~m} / \mathrm{s}\) Let \(v_{1}\) be the velocity of \(6 \mathrm{~kg}\) mass. According to conservation of linear momentum,…