A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2: 3 . The smaller fragment moves with a velocity of 6 ~m / s . The kinetic energy of the larger fragment is

Step-by-step solution

Total mass of the shell =20 ~kg Ratio of the masses of the fragments =2: 3 Masses of the fragments are 8 kg and 12 kg Now, according to the conservation of momentum m₁ v₁=m₂ v₂ 8 6=12 vv (velocity of the larger fragment )=4 ~m / s Kinetic energy = 1 2 m v^2= 1 2 12 (4)^2=96 ~J