Work Energy And Power Question 39

Question: A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8kg mass is 6 m/sec. The kinetic energy of the other mass is [MNR 1985; CPMT 1991; Manipal MEE 1995; Pb. PET 2004]

Options:

A) 48 J

B) 32 J

C) 24 J

D) 288 J

Show Answer

Answer:

Correct Answer: D

Solution:

As the initial momentum of bomb was zero,

therefore after explosion two parts should possess numerically equal momentum i.e. mAvA=mBvB

therefore 4×vA=8×6

therefore vA=12 m/s

Kinetic energy of other mass A, = 12mAvA2 = 12×4×(12)2 = 288 J.



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