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ICSE Class 9 Answered

The gravitational force of attraction between the moon(mass=7.36×10^22 kg) and the earth(5.96×10^24 kg) , taking the distance between the moon and the earth as 3.8×10^8 m, is ?   *Pls show the working of the numerical. Even the cancellations.*
Asked by nethra.v2005 | 12 Aug, 2019, 12:51: PM
answered-by-expert Expert Answer
Gravitational force F between earth and moon is given by,  begin mathsize 12px style F space equals space G space cross times fraction numerator M subscript e space M subscript m over denominator R squared end fraction space space................. left parenthesis 1 right parenthesis end style
where G = 6.674×10-11 is gravitational constant,
           Me  is mass of earth, Mm is mass of moon and R is radius of curvature
 
Hence begin mathsize 14px style F space equals space 6.674 cross times 10 to the power of negative 11 end exponent cross times fraction numerator 5.96 cross times 10 to the power of 24 cross times 7.36 cross times 10 to the power of 22 over denominator open parentheses 3.8 cross times 10 to the power of 8 close parentheses squared end fraction space N space equals space fraction numerator 6.674 cross times 5.96 cross times 7.36 over denominator 3.8 cross times 3.8 end fraction cross times 10 to the power of 19 space N space equals space 20.27 cross times 10 to the power of 19 space N end style
Answered by Thiyagarajan K | 12 Aug, 2019, 02:27: PM

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