Question

Find the ratio of the linear momenta of two particles of masses 1.0 kg and 4.0 kg if their kinetic energies are equal.

Answer 1

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ANSWER::

Let mass of particles be m₁ and m₂ respectively.

m₁  = 1 kg                    m₂ = 4 kg

Now , 

1/2 m₁v₁² = 1/2 m₂v₂²

m₁/m₂ = v₂²/v₁²

v₂/v₁ =  √(m₁/m₂)

v₁/v₂ = √(m₂/m₁)

(m₁v₁) / (m₂v₂) = m₁/m₂ x √(m₂/m₁) = √m₁/√m₂ = √1/√4 = 1/2

(m₁v₁) / (m₂v₂) = 1/2 = 1:2

Hope this helps!