Initial data: R (radius of the Earth) = 6370 km = 6370 * 10 ^ 3 m; g (the value of the acceleration due to gravity on the Earth’s surface) = 9.81 m / s ^ 2.
Reference data: G (gravitational constant) = 6.67 * 10 ^ -11 m ^ 3 * kg ^ -1 * s ^ -2).
The mass of the Earth can be expressed from the formula for calculating the acceleration of gravity:
g = G * M planet / (R planet) ^ 2.
M land = g * (R land) ^ 2 / G.
Mland = 9.81 * (6370 * 10 ^ 3) ^ 2 / (6.67 * 10 ^ -11) = 5.9679 * 10 ^ 24 kg.
Answer: According to the calculation, the mass of the Earth is 5.9679 * 10 ^ 24 kg.
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