A particle of mass m1 is moving with a velocity v1 and another

A particle of mass m₁ is moving with a velocity v₁ and another particle of mass m₂ is moving with a velocity v₂. Both of them have the same momentum but their different kinetic energies are E₁ and E₂ respectively. If m₁ > m₂ then

E =	p²
	2m

or , E₁ =	p₁²	, E₂ =	p₂²
	2m₁		2m₂

or , m₁ =	p₁²	, m₂ =	p₂²
	2E₁		2E₂

m₁ > m₂ ⇒	m₁	> 1
	m₂

∴	p₁²E₂	> 1 ⇒	E₂	> 1 [ ∵ p₁ = p₂ ]
	p₂²E₁		E₁

or , E₂ > E₁