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99 Percentile Qs Bank for JEE MainPhysicsCenter of Mass, Momentum and Collision

A stationary body explodes into two parts of masses ' M ₁ ' and ^ M ₂ ^ . They move in opposite directions with velocities ' v₁ ' and ' v₂ '. The ratio of their kinetic energies is

Options

  1. A[ M ₂ M ₁ ]
  2. B[ M ₂ M ₁ ]^ 1 2
  3. C[ M ₁ M ₂ ]²
  4. D[ M ₂ M ₁ ]²

Correct answer

A. [ M ₂ M ₁ ]

Step-by-step solution

To solve this problem, a diagram of the problem will be helpiul. Alorig with that, the corservation of linear mornentum, which is giver by. P_ i =p_ f ~ . ~ A s ~ p e r ~ N e w t a n ' s ~ s e c a n d ~ l a ther montentum is conserved. The explosion occurs purely due to internal forces. Step ty step salution: Let's sart by making a diagram of the problem. As per the problem, a stationary ball of mass (m) arnd initial velocity cercolu-0) after an explosion breaks into two masses m₁ and m₂ - These twò masses move in

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