Question

What will be the formula of mass of the earth in terms of $g,R$ and $G$?

• A. $g^2\left(R/G\right)$
• B. $G\left(R^2/g\right)$
• C. $G\left(R/g\right)$
• D. $g\left(R^2/G\right)$

Answer 1

The correct option is D $g\left(R^2/G\right)$

As we know

$F=\frac{GMm}{R^2}$

$mg=\frac{GMm}{R^2}$

$g=\frac{GM}{R^2}$

So, $M=\frac{g{R}^2}{G}$