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If the length of a string increases 2 times but the mass of the string remains constant, the new density of the string will equal the original density multiplied by what factor?

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If the length of a string increases 2 times but the mass of the string remains constant, the original density  will be multiplied by a factor  mathematically given as

v=1.414 times

Will the new density of the string equal the original density multiplied by what factor?

Generally, the equation for the  volume is mathematically given as

v = sqt(TL/m)

Where

density = mass/length

Therefore

[tex]v2/v1 = \sqrt{L2/L1}[/tex]

[tex]v2/v1 = \sqrt{2}[/tex]

In conclusion,v ratio will give us

v=1.414 times

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