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QAIPMT-2005-Ph-2566: NEET 2005 Physics - Class 11 AIPMT-2005-Ph-2566 Solution: A bomb of mass 30 kg at rest explodes into two pieces of masses …
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 . The kinetic energy of the other mass is:
Multiple Choice Options
- A 324 J
- B 486 J
- C 256 J
- D 524 J
Step-by-Step Verified Solution
As per law of conservation of linear momentum
m 1 v 1 + m 2 v 2 = 0
_ v 2 = ( _ m 1 m 2 ) v 1
_ v 2 = ( _ 18 12 ) 6 = _ 9 m / s
Now, kinetic energy of second piece
K . E = 1 2 ( m v 2 2 )
= 1 2 _ 12 _ ( _ 9 ) 2
_ K.E = 486 J