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AIPMT PRELIMS2005Physics-Mechanics

AIPMT PRELIMS 2005 Physics Conservation of Momentum MCQ Question

Type: MCQ-numerical-Medium-Class 11

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 m/s. The kinetic energy of the other mass is:

A

243 J

B

486 J

C

564 J

D

388 J

Correct Answer

Option B

Detailed Explanation

Using conservation of momentum, the velocity of the 12 kg mass is (18 kg * 6 m/s) / 12 kg = 9 m/s. The kinetic energy is (1/2) * 12 kg * (9 m/s)² = 486 J.

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