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borishaifa [10]
3 years ago
15

A) Work out the value of G

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

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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