"Never stop Thinking, Never stop Questioning; Never stop Growing. To be realize that everything connects to everything else!! - spl BiNal.
Given,
Time $(T) = 27.3$ days = $27.3 \; * \; 24 \; * \; 60 \; * \; 60 = 2358720 \; Sec$
Mass of earth $(M) = 5.97 \; *\; 10^{24}\; kg$
Height of the Moon from the center of the earth $(h) = \;?$
We know that,
$h = $ $\left ( \frac{T^2 \; * \; R^2\; * \;g}{4\; \pi^2} \right )^{1/3}$ $ - \;R$
$h =$ $ \left ( \frac{(2358720)^2 \; * \; {6400000}^2\; * \; 9.8}{4\; \pi^2} \right )^{1/3}$ $ - \; 6400000 = 3.77 * 10^8 \; m$
∴ Height of the Moon from the center of the earth $(h) = \;3.77 * 10^8 \; m$
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