Center of Mass, Momentum & Collision

JEE Main level, single correct, medium

33 of 130

Question 33 of 130

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

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Answer: (C) 288 J288 \mathrm{~J}

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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