Answer to Question #294691 in Atomic and Nuclear Physics for bihandu

Question #294691

The Earth may be considered to be a uniform sphere of radius 6.38 × 106 m. Its mass is assumed to be concentrated at its centre.


Given that the gravitational field strength at the Earth’s surface is 9.81 N kg–1, show that the mass of the Earth is 5.99 × 1024 kg.



1
Expert's answer
2022-02-07T08:42:51-0500

F1=F2,F_1=F_2,

mg=GMmR2,mg=\frac{GMm}{R^2},

g=GMR2,g=\frac{GM}{R^2},

M=gR2G,M=\frac{gR^2}G,

M=5.991024 kg.M=5.99\cdot 10^{24}~kg.


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