Question

Two objects ‘x’ and ‘y’ of masses ‘m’ and ‘2m’ respectively are moving with velocities ‘2v’ and ‘v’ respectively, the ratio of their kinetic energy is (considering x:y)

Answer 1

Answer:

Given velocity of first body  v1=v 

And velocity of second body, v2=2v 

KE=2mv2

Since masses are same, kinetic energy is directly proportional to the square of the velocity (KE  α   v2) 

Hence, ratio of their kinetic energies is:

KE2KE1=v22v12=(2v)2v2=4v2v2=41=1:4

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