Question

Bodies a and b have masses in the ratio 5 is to 1 and their kinetic energies are in the ratio 125 is 29 find the ratio of their velocities

Answer 1

Given ration of mass of object A to object B = 5/1

and ratio of kinetic energy of A to B = 125/9

To determine the ratio of velocities of A to B

We know kinetic energy is expressed as

1/2 mv² ----(A)

Now according to question

K.E₁ : K.E₂ = 125 : 9

Reducing A in the above equation

{1/2 m₁v₁²}/{1/2 m₂v₂²} = 125/9

 v₁²/v₂²= 125/(9×5) =25/9

Thus

v₁ : v₂ = 5 : 3