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

Step-by-step solution

The linear momentum of exploding part will remain conserved. Applying conservation of linear momentum, we write, m₁ u₁=m₂ u₂ Here, gathered m₁=18 ~kg , m₂=12 ~kg u₁=6 ~ms ⁻¹, u₂=? gathered 18 6=12 u₂ u₂= 18 6 12 = 9 ~ms ⁻¹ Thus, kinetic energy of 12 kg mass aligned K₂ & = 1 2 m₁ u₂^2 & = 1 2 12 (9)^2 & =6 81 & =486 ~J aligned