A rocket is moving up with a velocity v. If the velocity of this rocket is suddenly tripled, what will be the ratio of two kinetic energies?


Let the mass of the rocket = m

The kinetic energy of rocket when it moves with velocity v

Initial velocity = v

K.E = 1/2 mv2

When the kinetic energy of the rocket when it moves with velocity 3v,

K.E = 1/2 × m × (3v)2

K.E = 9mv2/2

1/2 mv2 = 9mv2/2

The ratio between Initial kinetic energy and final kinetic energy is 1:9.

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