Question

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Answer 1

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Kinetic energy of a body is the energy possessed by it due to it's motion. It is defined as the half of product of mass and square of velocity of a body. Defined by the expression :-

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

Whereas momentum of a body is the energy stored in it due to it's motion. it is the product of mass and velocity of a body, defined by the expression :-

$p = mv$

Now in this condition we have been given that the velocity of object is tripled.

Now the kinetic energy of body will become :-

$ke = \frac{1}{2} \times m {3v}^{2}$

And the momentum of body will become :-

$p = m3v$

Now the ratio of kinetic energy and momentum of body will be :-

$\frac{ke}{p} = \huge \frac{ \frac{1}{2} \times m {3v}^{2} }{ \frac{m3v}{1} }$

$\frac{ke}{p} = \frac{m {3v}^{2} }{2(m3v)}$

$\frac{ke}{p} = \frac{m {3v}^{2} }{2m6v}$

$\frac{ke}{p} = \frac{v}{4}$

Therefore ratio of kinetic energy and moment of body when velocity is tripled will be One by fourth of it's velocity.

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BY SCIVIBHANSHU

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