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Atoms And Molecules

Question
CBSEENSC9006063

What is the magnitude of the gravitational force between the earth and 1 kg object on its surface? (Mass of the Earth = 6 x 104 kg and radius of earth is 6.4 x 106 m)

Solution

Given,
Mass of the body (m) = 1 kg
Mass of the earth (M) =  6 x 1024kg
Radius of the earth (R) = 6.4 x 106m
Magnitude of the gravitational force between the earth and 1 kg body,   
               straight F equals space straight G Mm over straight R squared

space space equals space fraction numerator 6.67 space cross times space 10 to the power of negative 11 end exponent cross times space 6 space cross times 10 to the power of 24 cross times 1 over denominator left parenthesis 6.4 space cross times space 10 to the power of 6 right parenthesis squared end fraction straight N

space space equals space fraction numerator 6.67 space cross times space 6 space cross times space 10 over denominator 6.4 space cross times space 6.4 end fraction space

space space equals space 9.77 space straight N space approximately equal to space 9.8 space straight N.