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Q.

Derive the relation between acceleration due to gravity (g) at the surface of a planet and gravitational constant “G”

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Detailed Solution

Consider a body of mass “m” is placed on the surface of a planet of mass “M” and Radius
“R” From Newton’s gravitational Law 
 gravitational Force F=GMmR2.... (1)
Weight of the body F = mg.... (2)
(1) &(2)mg=GMmR2
g=GMR2(G=universal gravitational constant)

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