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
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a
48 J
b
32 J
c
24 J
d
288 J
answer is D.
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Detailed Solution
As the initial momentum of bomb was zero, therefore after explosion two parts should possess numerically equal momentum i.e. mAvA=mBvB ⇒4×vA=8×6 ⇒vA=12 m/s∴Kinetic energy of other mass A, = 12mAvA2=12×4×(12)2=288J