Question

Two bodies of masses 1g and 4g are moving with equal kinetic energy.find the ratio of their momentum

Answer 1

Answer:

1 : 2

Explanation:

v1² = 4v2²

v1 = 2v2

momentum ratio = v1 : 4v2 = 2 : 4 = 1 : 2

Answer 2

When two Bodies of masses 1g and 4g are moving with equal kinetic energy, then the ratio of their Momentum is 1 :2

Explanation:

we can relate kinetic Energy and Momentum by this relation

  K.E = P² /2m

where K.E = Kinetic Energy

P.E = Potential Energy and m= Mass of body²

m₁ = 1 g      ; m₂ = 4 g

K.E₁ =  K.E₂

K.E₁ = P₁² /2 x1 = P₁² / 2          

K.E₂ P₂² / 2 x4 = P₂²/8

P₁²/2 : P₂² /8

P₁²/P₂² = 1/4

P₁ :P₂ = 1 :2

when two bodies of masses 1g and 4g are moving  with equal Kinetic energy , then the ratio of  their momentum is 1 :2