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Question: A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 ...

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 KE of other mass is

A

324 J

B

486 J

C

256 J

D

524 J

Answer

486 J

Explanation

Solution

m1v1 = m2v2 ∴ v2= 18×612\frac { 18 \times 6 } { 12 }= 9 ms-1

KE = 12\frac { 1 } { 2 } × 12(9)2 = 486 J