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JEE Main 2006
Exam
JEE Main
Year
2006
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2006 · Physics · Center of Mass, Momentum and Collision

A bomb of mass 16 ~kg at rest explodes into two pieces of masses of...

A bomb of mass 16 kg16 \mathrm{~kg} at rest explodes into two pieces of masses of 4 kg4 \mathrm{~kg} and 12 kg12 \mathrm{~kg}. The velocity of the 12 kg12 \mathrm{~kg} mass is 4 ms−14 \mathrm{~ms}^{-1}. The kinetic energy of the other mass is

Options

  1. A96 J96 \mathrm{~J}
  2. B144 J144 \mathrm{~J}
  3. C288 J288 \mathrm{~J}
  4. D192 J192 \mathrm{~J}

Correct answer

C. 288 J288 \mathrm{~J}

Step-by-step solution

m1v1=m2v2m_1 v_1=m_2 v_2 KE=12 m2v22=12×4×144=288 J\mathrm{KE}=\frac{1}{2} \mathrm{~m}_2 \mathrm{v}_2^2=\frac{1}{2} \times 4 \times 144=288 \mathrm{~J}
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