A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg and 12 kg . The velocity of the 12 kg mass is 4 m/s . The kinetic energy of the o - Physics MCQ AIEEE 2006 2026 | ExamTest.live

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A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg and 12 kg . The velocity of the 12 kg mass is 4 m/s . The kinetic energy of the other mass is:

Solution & Step-by-step Explanation

From the law of conservation of linear momentum: m_{1} v_{1} + m_{2} v_{2} = 0 (4) v_{1} + (12) (4) = 0 ⟹ 4 v_{1} = - 48 ⟹ v_{1} = - 12 m/s The speed of the 4 kg mass is 12 m/s .Kinetic energy of the 4 kg mass: K E = \frac{1}{2} m_{1} v_{1}^{2} = \frac{1}{2} \times 4 \times (12)^{2} K E = 2 \times 144 = 288 J

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A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg and 12 kg . The velocity of the 12 kg mass is 4 m/s . The kinetic energy of the other mass is:

96 J

144 J

288 J

192 J

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