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TS EAMCET · Physics · Work Power Energy

A bomb of mass \(16 \mathrm{~kg}\) explodes into two pieces of masses \(4 \mathrm{~kg}\) and \(12 \mathrm{~kg}\). The velocity of the \(12 \mathrm{~kg}\) mass is \(4 \mathrm{~ms}^{-1}\). The kinetic energy of the second piece is

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

Answer & Solution

Correct Answer

(D) \(288 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

The correct option is B \(288 \mathrm{~J}\) Let the velocity and mass of \(4 \mathrm{~kg}\) piece by \(\mathrm{v}_1\) and velocity and mass of \(12 \mathrm{~kg}\) piece be \(\mathrm{v}_2\) and \(\mathrm{m}_2\) Applying conservation of linear momentum…
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