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Q.

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 ms-1 . The kinetic energy of the other mass is

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a

256 J

b

486 J

c

524 J

d

324 J

answer is B.

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Detailed Solution

According to law of conservation of linear momentum  mAvA=mBvB=18×6=12×vB⇒vB=9 m​/​s  K.E.  of mass 12 kg,  EB=12mBvB2=12×12×(9)2=486J
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