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What Happens to the K.E. When (I) the Mass of the Body is Doubled at a Constant Velocity and (Ii) the Velocity of the Body is Doubled at Constant Mass?

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Question

What happens to the K.E. when
(i) the mass of the body is doubled at a constant velocity and
(ii) the velocity of the body is doubled at constant mass?

Short/Brief Note
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Solution

We have, K.E. = 1/2 mv2
Hence,

(i) On doubling the mass, at a constant velocity, the K.E. becomes double its original value.

(ii) On doubling the velocity, at constant mass, the K.E. becomes (2)2 i.e., 4 times its original value.

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