A dog of mass 25kg running after a cat of mass 4kg possesses the same kinetic energy as that of cat .calculate the ratio of velocities of the two?
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Given : Mass of Dog (m1)= 25kg
Mass of Cat (m2)= 4kg
The kinetic Energy of Cat and Dog are Equal
Let Their Velocitites of dog and cat be v1 And v2 Respectively
1/2m₁v₁²=1/2m₂v₂² ⇒v₁ : v₂ = √m₂ : √m₁ ⇒ √4 : √25 ⇒ 2 : 5
∴ v1 : v2 = 2 : 5
Mass of Cat (m2)= 4kg
The kinetic Energy of Cat and Dog are Equal
Let Their Velocitites of dog and cat be v1 And v2 Respectively
1/2m₁v₁²=1/2m₂v₂² ⇒v₁ : v₂ = √m₂ : √m₁ ⇒ √4 : √25 ⇒ 2 : 5
∴ v1 : v2 = 2 : 5
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Answer:
2:5.....................
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