The kinetic energy of an object of mass, m moving with a velocity of 5 ms 1 is 25 J. What will be its kinetic energy when its velocity is doubled

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## The kinetic energy of an object of mass, m moving with a velocity of 5 ms-1 is 25 J. What will be its kinetic energy when its velocity is doubled? What will be its kinetic energy when its velocity is increased three times? - Physics Cbse class 11

The kinetic energy of an object of mass, m moving with a velocity of 5 ms-1 is 25 J. What will be its kinetic energy when its velocity is doubled? What will be its kinetic energy when its velocity is increased three times?

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Expression for kinetic energy is

= Mass of the object

= Velocity of the object = 5 ms-1

Given that kinetic energy, Ek= 25 J

(i) If the velocity of an object is doubled, then its kinetic energy becomes 4 times the original value, because it is proportional to the square of the velocity. Hence, kinetic energy = 25 × 4 = 100 J.

(ii) If velocity is increased three times, then its kinetic energy becomes 9 times the original value, because it is proportional to the square of the velocity. Hence, kinetic energy = 25  × 9 = 225 J.

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