Question

A) Work out the value of G

Answer 1

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