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Two bodies of equal masses are moving with uniform velocities v and 2v. Find the ratio of their kinetic energies.

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Given, velocity of first body v1 = v And velocity of second body, v2 = 2v

Since masses are same, kinetic energy is directly proportional to the square of the velocity (Kav2)

Hence, ratio of their kinetic energies is: k1/k2 = v12/v22 = v2/(2v)2 = v2/4v2 = 1/4 = 1 : 4

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