Physics - Gravitation Question with Solution | TestHub

Suppose, at point x, from mass m the gravitational field is zero

$\frac{\text{Gm}}{{\text{x}}^2}=\frac{\text{G}4\text{m}}{{\left(\text{r}-\text{x}\right)}^2}$

$\Rightarrow \text{r}-\text{x}=2\text{x}$

$\Rightarrow \text{x}=\frac{\text{r}}{3}$

$\text{V}=-\frac{\text{Gm}\left(3\right)}{\text{r}}-\frac{\text{Gm}\left(6\right)}{\text{r}}=-\frac{9\text{Gm}}{\text{r}}$