Mathematics: 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

mommatann

18.03.2022

a. G = 4590.0

b. G = 4550.0

Step-by-step explanation:

Given that: G = $\sqrt{\frac{m}{t^{2} } }$

a. m = 6.1 x $10^{-5}$ and t = 1.7 x $10^{-6}$

Thus,

G = $\sqrt{\frac{6.1*10^{-5} }{(1.7*10^{-6}) ^{2} } }$

= $\sqrt{\frac{6.1*10^{-5}}{2.89*10^{-12} } }$

= $\sqrt{21107266.44}$

G = 4594.26452

G = 4590.0

b. m = 6.1 x $10^{-5}$ + ( 6.1 x $10^{-5}$ x 0.08)

= 6.588 x $10^{-5}$

t = 1.7 x $10^{-6}$ + (1.7 x $10^{-6}$ x 0.05)

= 1.785 x $10^{-6}$

So that,

G = $\sqrt{\frac{6.588*10^{-5} }{(1.785*10^{-6}) ^{2} } }$

= $\sqrt{\frac{6.588*10^{-5} }{3.186*10^{-12} } }$

= $\sqrt{20676505.9}$

G = 4547.1426

G = 4550.0

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