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The acceleration due to gravity at sea level is g=9.81 m/s^2. The radius of the earth is 6370 km. The universal gravitational constant is G = 6.67 × 10−11 N-m^2/kg^2. Use this information to determine the mass of the earth.

Respuesta :

Answer:

Mass of earth will be [tex]M=5.96\times 10^{24}kg[/tex]

Explanation:

We have given acceleration due to gravity [tex]g=9.81m/sec^2[/tex]

Radius of earth = 6370 km =[tex]6370\times 10^3m[/tex]

Gravitational constant [tex]G=6.67\times 10^{-11}Nm^2/kg^2[/tex]

We know that acceleration due to gravity is given by

[tex]g=\frac{GM}{R^2}[/tex], here G is gravitational constant, M is mass of earth and R is radius of earth

So [tex]9.81=\frac{6.67\times 10^{-11}\times M}{(6370\times 10^3)^2}[/tex]

[tex]M=5.96\times 10^{24}kg[/tex]

So mass of earth will be [tex]M=5.96\times 10^{24}kg[/tex]

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