Question

two bodies are moving with same kinetic energy and their masses are in ratio 1:2 the ratio of their velocities is
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Answer 1

When two bodies are moving with same kinetic energy and their masses are in the ratio 1:2 , Then the ratio of their velocities is  $\sqrt{2} :1$

Explanation:

Kinetic Energy of an object is the Energy that is possesses due to its Motion

here Kinetic Energy of one body = kinetic Energy of second body

  let m₁ = 1x    ;     m₂ = 2x

we know $\frac{1}{2}$m₁v₁² = $\frac{1}{2}$m₂v₂²

                xv₁² = 2x v₂²

v₁² / v₂² = 2/1

v₁/v₂ = $\sqrt{2} :1$