Calculate the mass of the Earth if you know its radius R = 6370 km and the acceleration of gravity on its surface g = 9.81 m / s².

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.