Two bodies A and B of masses 4kg and 16kg respectively have the same kinetic energy . Calculate the ratio of their velocities?

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Let thE K.E. of A & B be x

mass of A ( m ) = 4 kg , mass of B ( M ) = 16 kg

K.E. of A = 1 / 2 mv2                     

x = 1 / 2 X 4 X v2                                                        

v2 =x / 2 

K.E. of B = 1 / 2 MV2

  x = 1 / 2 X 16 X V2                  

V2 =x / 8

Ratio of velocities = V2 / v2

                              = x / 8 divided by x / 2

                              = 1 : 4       

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