Formula for mass of the Earth – Rankers Physics

Uncategorized: Practice Problem & Solution

What will be the formula of mass of the earth in terms of $g$, $R$ and $G$? (1996)
$G\frac{R}{g}$
$g\frac{R^2}{G}$
$g^2\frac{R}{G}$
$G\frac{g}{R}$

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

The acceleration due to gravity on the surface of the earth is given by $g = \frac{GM}{R^2}$. Rearranging this formula to solve for the mass of the earth $M$, we get $M = \frac{gR^2}{G}$.

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