A bomb of mass m at rest explodes into two fragments of masses m1,m2 .The total energy released in the explosion is
e. If e1,e2 represent the energies carried by massess m1,m2 respectivly then
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Explanation:
As per the question, the bomb explodes into two parts.
The masses of two parts are given as m₁ and m₂ respectively.
The momentum of two parts are given as p₁ and p₂ respectively.
We are asked to calculate the kinetic energy.
The momentum of a body is defined as the product of mass with velocity.
Mathematically momentum p = mv.
K.E. = 1/2 m v² = 1/2 m² v²/m = p²/2m
The kinetic energy of a body moving with velocity v is calculated as
Hence, the kinetic energy of the first part K.E.₁ = p₁²/ 2 m₁
The kinetic energy of the second part K.E.₂ = p₂²/ 2 m₂
Hence, the total kinetic energy K.E = K.E.₁ + K.E.₂
Hence, the total kinetic energy K.E = p₁²/ 2 m₁ + p₂²/ 2 m₂
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