Question

Two particles of masses 1 kg & 4 kg have equal KEs. What is the ratio of their speeds

Answer 1

Answer:

2:1

Explanation:

ke1=ke2

1/2m1v1^2=1/2m2v2^2

1.v1^2=4.v2^2

(v1/v2)^2=4

v1/v2=2/1

Answer 2

Answer:

KE = 1/2mv²

KE₁ = 1/2 × 1 × v₁²

     =  v₁² / 2

KE₂ = 1/2 × 4 × v₂²

      = 2v₂²

KE₁ = KE₂ =>  v₁² / 2 = 2v₂²

v₁² = 4v₂²

v₁ = √4v₂²

   = 2v₂

v₁ : v₂ = 2v₂ : v₂

          = 2 : 1

Hence , the ratio of their velocities is 2:1

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