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a) Work out the value of G
give your answer in standard form correct to 3 significant figures
b) Work out the new value of G
give your answer in standard form correct to 3 significant figures

A Work Out The Value Of G Give Your Answer In Standard Form Correct To 3 Significant Figures B Work Out The New Value Of G Give Your Answer In Standard Form Cor class=

Sagot :

Olayemiolakunle65idn

Answer:

a. G = 4590.0

b. G = 4550.0

Step-by-step explanation:

Given that: G = [tex]\sqrt{\frac{m}{t^{2} } }[/tex]

a. m = 6.1 x [tex]10^{-5}[/tex] and t = 1.7 x [tex]10^{-6}[/tex]

Thus,

G = [tex]\sqrt{\frac{6.1*10^{-5} }{(1.7*10^{-6}) ^{2} } }[/tex]

   =  [tex]\sqrt{\frac{6.1*10^{-5}}{2.89*10^{-12} } }[/tex]

   = [tex]\sqrt{21107266.44}[/tex]

G = 4594.26452

G = 4590.0

b. m =  6.1 x [tex]10^{-5}[/tex] + ( 6.1 x [tex]10^{-5}[/tex] x 0.08)

       = 6.588 x [tex]10^{-5}[/tex]

   t = 1.7 x [tex]10^{-6}[/tex] + (1.7 x [tex]10^{-6}[/tex] x 0.05)

     = 1.785 x [tex]10^{-6}[/tex]

So that,

G = [tex]\sqrt{\frac{6.588*10^{-5} }{(1.785*10^{-6}) ^{2} } }[/tex]

   = [tex]\sqrt{\frac{6.588*10^{-5} }{3.186*10^{-12} } }[/tex]

   = [tex]\sqrt{20676505.9}[/tex]

G  = 4547.1426

G = 4550.0

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