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Question

Radius of earth is equal to 6×106m. Acceleration due to gravity is equal to 9.8m/s2. Gravitational constant G is equal to 6.67×1011Nm2kg2. Then mass of the earth is:-

A
6.0×1024kg
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B
5.3×1024kg
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C
5.9×1024kg
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D
6.6×1024kg
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Solution

The correct option is A 6.0×1024kg
We know that,
G=GMR2 where g= acceleration due to gravity, G= Gravitational constant
M=gR2G
M=9.8×6.4×10126.67×1011
M=6.08×1024kg

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