Question

If the velocity of any particle is doubled then what will be the kinetic energy.​

Answer 1

ᴀ᭄ɴsᴡᴇʀ

Momentum is directly proportional to velocity. If momentum of an object is doubled , but its mass does not increase (so velocity remains below the speed of light) then its velocity is doubled. If the velocity is doubled, then the kinetic energy increases by four times.

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Answer 2

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Kinetic energy of a body is defined as the energy possessed by a body which is in a motion.

It is defined as the half of product of mass of a body and the square of its velocity. Defined by the expression :

$ke = \frac{1}{2} \times m {v}^{2}$

Now according to the given condition when velocity of body is doubled then its kinetic energy will be :

$ke = \frac{1}{2} \times m \times 2 {v}^{2}$

$ke = m {v}^{2}$

Therefore we can see when velocity of a body is doubled them kinetic energy is also doubled.

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BY SCIVIBHANSHU

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