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
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k.E=1 m v sqaure and so put value mass and velocity in formula so K.E=1 upon 2*30*12 square so answer is 2160joule hope it helps
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Question:
A bomb of mass 30 kg at rest explodes into 2 pieces of masses 18 kg and 12 kg the velocity of 18 kg mass is 6 m/s the KE of the other mass will be ?
Answer:
486 J
Explanation:
The linear momentum of the exploding part will remain conserved.
Applying Conservation of linear momentum,
m₁u₁ = m₂u₂
here,
m₁ = 18 kg
m₂ = 12 kg
u₁ = 6 m/s
u₂ = ?
u₂ = 18×6÷12 = 9 m/s
u₂ = 9 m/s
Now, The kinetic energy of 12 kg mass
K.E₂ = m₂u₂²/2 = 12×(9)²/2 = 6×81 = 486 J
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