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CBSE Class 11-science Answered

what is the derivation of formula of gravity

 

Asked by halderishan008 | 30 Jul, 2022, 07:28: PM
Expert Answer
Let m be a mass of object which is at earth surface .
 
Gravitational force of attraction F  between earth and this object is given as
 
begin mathsize 14px style F space equals space G space fraction numerator M cross times m over denominator R squared end fraction end style
where G = 6.674 × 10-11 N m2 kg-2 is universal gravitational constant , M = 5.972 × 1024 kg is mass of earth
and R = 6371 km is radius of earth .
 
acceleration due to gravity g = Force / mass = F/ m = G ( M / R2 )
 
acceleration due to gravity g = ( 6.674 × 10-11 × 5.972 × 1024 ) / ( 6.371 × 6.371 × 1012 ) = 9.819 m/s2
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