Question

How is the acceleration due to gravity on earth surface related to the mass $M$ and radius $R$ of earth?

• A. $g=\frac{G}{M{R}^2}$
• B. $g=\frac{M}{G{R}^2}$
• C. $g=\frac{GM}{R}$
• D. $g=\frac{GM}{R^2}$

Answer 1

The correct option is D $g=\frac{GM}{R^2}$

$accelerationduetogravity,g=\frac{GM}{r^2}$

$r=$ distance

$G=$gravitational constant $=6.673\times {10}^{-11}N{m}^{2}k{g}^{-2}$

$M=massoftheobject$