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If KE of a body increases by 300%, by wh...

If KE of a body increases by `300%`, by what `%` will the linear momentum of the body increase?

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`K=(1)/(2)mv^(2)=(p^(2))/(2m) :. p=sqrt(2mK)`
When KE increases by `300%`,
new KE `K^(')=K+3K=4K`
`p^(')=sqrt(2mK^('))=sqrt(2m(4K))=2sqrt(2mK)=2p`
`%` age increase in momentum
`=((p^(')-p)xx100)/(p)=((2p-p)100%)/(p)=100%`
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