Using the gravitational pull between the Earth and the Moon and knowing the distance Earth - Moon R = 384000 km, calculate the mass of the Earth. The range is known = 6.67 × 10-¹¹ Nm² / kg², the orbital period of the Moon is T = 27.3 days.
Using the Kepler's Third Law, we get:
"M_E=\\dfrac{4\\pi^2\\cdot(3.84\\cdot10^8\\ \\dfrac{m}{s})^3}{6.67\\cdot10^{-11}\\ \\dfrac{Nm^2}{kg^2}\\cdot(27.3\\ days\\cdot\\dfrac{24\\ h}{1\\ day}\\cdot\\dfrac{3600\\ s}{1\\ h})^2}=6.0\\cdot10^{24}\\ kg."
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