Question

Newton's law of gravitation gives a relation between the strength of the force F between two objects with masses M and m and the distance between them, r units and is defined as $F=\frac{GMm}{r^2}$. Find the equation which gives the value of Newton's gravitational constant G, in terms of F, M, m, and r?

• A. $G=F{r}^{2}Mm$
• B. $G=\frac{F{r}^2}{Mm}$
• C. $G=\frac{FMm}{r^2}$
• D. $G=\frac{F}{r^{2}Mm}$

Answer 1

The correct option is B $G=\frac{F{r}^2}{Mm}$

Given that $F=\frac{GMm}{r^2}$

$\Rightarrow F{r}^2=GMm$

$\Rightarrow G=\frac{F{r}^2}{Mm}$