Determine the mass of the Earth, assuming that its radius is 6400 km.

univerkov | April 19, 2021 | education

1) There is a formula linking the acceleration of gravity on a planet with the mass and radius of this planet: g = GM / R ^ 2.
2) From it we have: gR ^ 2 = GM, M = gR ^ 2 / G = 9.8 m / s2 * (6400000 m) ^ 2 / (6.67 * 10 ^ -11 N * m2 / kg2) = 6 * 10 ^ 24 kg.
ANSWER: M Earth = 6 * 10 ^ 24 kg.

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