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Motion In Straight Line

Question
CBSEENPH11017466

The acceleration due to gravity at the surface of the earth is 9.8 m/s2. Find the density of the earth. (Take R = 6400km and G = 6.67 x 10-11 Nm2/kg2 ).

Solution
Acceleration due to gravity at the surface of the earth is,
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∴                 straight rho equals fraction numerator 3 straight g over denominator 4 πGR end fraction                   ... (1)
Here, we have
straight g equals 9.8 space straight m divided by straight s squared space space space space space space space space space space space straight R space equals space 6400 space km 
straight G equals 6.67 cross times 10 to the power of negative 11 end exponent Nm squared divided by kg squared 
So, putting the values in equation (1), we have

Density of Earth,
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     equals 5497 space kg divided by straight m cubed