The average value of the acceleration due to gravity for the planet Earth is 9.81 m / s ^2.

The average value of the acceleration due to gravity for the planet Earth is 9.81 m / s ^2. Determine from these data the mass of the Earth.

Reference data: R (radius of the Earth) = 6 356 863 m; G (gravitational constant) = 6.67 * 10 ^ -11 m ^ 3 / (kg * s ^ 2); by condition g (acceleration of gravity at the surface of the planet Earth) = 9.81 m / s ^ 2.

We express the mass of the Earth from the formula: g = G * M / R ^ 2, whence M = g * R ^ 2 / G.

Let’s perform the calculation: M = 9.81 * 6356863 ^ 2 / (6.67 * 10 ^ -11) ≈ 5.94 * 10 ^ 24 kg.

Answer: According to the calculation, the mass of the Earth is 5.94 * 10 ^ 24 kg.



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