A helium nuclide of massm₁ moving with an initial velocity of v_0- is incident on a stationary nuclide mass m₂. After collision,m₁ was deflected through an angled Ѳ and m₂ angle of ɸ. If the velocities of the nuclide after collision were v₂ and v₂ respectively, show that for an elastic collision in the laboratory co-ordinate system.
(v₁/v₀)²= 2( v₁/v₀)m₁/(m₁+m₂ ) cos⁡θ+((m₂-m₁ ) /(m₁+m₂ )
Also show that v₂=(2v₀ m₁)/(m₁+m₂ ) cos⁡∅
And that m₂/m₁ =sinѲ/sin⁡(2∅+θ)