KCET2007PhysicsCenter of Mass, Momentum and Collision
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 ~ms ⁻¹ . The kinetic energy of the larger fragment is
Options
- A96 ~J
- B216 ~J
- C144 ~J
- D360 ~J
Correct answer
A. 96 ~J
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 v²= 1 2 12 (4)²=96 ~J Kinetic energy = 1 2 m v²= 1 2 12 (4)²=96 ~J