Question

what is the mass of earth? explain it.

Answer 1

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The mass of the Earth may be determined using Newton's law of gravitation. It is given as the force (F), which is equal to the Gravitational constant multiplied by the mass of the planet and the mass of the object, divided by the square of the radius of the planet. We set this equal to the fundamental equation, force (F) equals mass (m) multiplied by acceleration (a). We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 × 10−11 Nm2/kg2, the radius of the Earth is 6.37 × 106 m, and mass cancels out. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 × 1024 kg.
F = Gm1m2/r2 = ma
Gm/r2 = g
m = gr2/G
m = (9.8 m/s2)(6.37 × 106 m)2/(6.673 × 10−11 Nm2/kg2)
m = 5.96 × 1024 kg


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Answer 2

Mass of earth is approximately = 5.9722 * 10^24 kg

Earth's mass is Standard mass used in astronomy which is also used for finding the mass of other planets.
It is also used to find the mass of terrestrial rocks and exoplanets.
The mass of earth includes the mass of moon.
Mass of moon is 1.2% of earth.
so mass of earth+moon = 6.04 * 10^24

Finding the exact mass of earth is difficult as its equivalent of measuring gravitational constant.