Question

A stationary particle explodes into two particles of masses m1 and m2 which move in opposite directions with velocities v1 and v2. The ratio of their kinetic energies E1E2 is :

Answer 1

The answer is provided in the attachment.

PLEASE MARK AS BRAINLIEST

Answer 2

Answer:

The ratio of their kinetic energy E₁/ E₂ is; m₂/ m₁

Explanation:

Given;-

 Masses are= m₁ and m₂

Velocities are= v₁ and v₂

Now, according to the question, through the concept of conservation of momentum of centre of mass, here the initial momentum is zero which implies that the final momentum will also remain the same.

And, we know that for the same momentum, we have the formula;

            K. E. = p²/ 2m  ______(1)

So, from (1), we can say that the kinetic energy is inversely proportional to the masses. Therefore, we conclude that;-

             E₁ / E₂ = m₂ / m₁

Hope it helps! ;-))