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 - 1 . The kinetic energy of the other mass is

Question

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 - 1 . The kinetic energy of the other mass is, 324 J, 486 J, 256 J, 524 J

MARKS App · Accepted Answer

From conservation of linear momentum m 1 ν 1 + m 2 ν 2 = 0 ν 2 = - m 1 m 2 ν 1 = - 18 12 6 = - 9 m s - 1 K . E . = 1 2 m 2 ν 2 2 = 1 2 × 12 × 9 2 = 486 J

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