Answer:
D₁ = 3.31 m
D₂ = 0.9 m
Explanation:
First, we will find the scaling factor of the model:
[tex]Scaling\ Factor = S.F = \frac{Distance\ between\ Earth\ and\ moon\ in\ Model}{Distance\ between\ Earth\ and\ moon\ in\ Actual}\\S.F = \frac{100\ m}{384400000\ m}\\[/tex]
S.F = 2.6 x 10⁻⁷
Now, the diameter of 1st sphere, that is Earth will be:
[tex]D_{1} = (S.F)(Actual\ Diameter\ of\ Earth)\\D_{1} = (2.6\ x 10^{-7}\ m)(12742000\ m)\\[/tex]
D₁ = 3.31 m
Now, the diameter of 2nd sphere, that is Moon will be:
[tex]D_{2} = (S.F)(Actual\ Diameter\ of\ Moon)\\D_{2} = (2.6\ x 10^{-7}\ m)(3474200\ m)\\[/tex]
D₂ = 0.9 m
