Objects of mass $m$ are placed on the $x$-axis at $x = 1, x = 2, x = 4, x = 8, \dots$ respectively. What is the gravitational potential at the origin $x = 0$?

If the gravitational intensity at a height of $8000 \, km$ from the center of the Earth is $6 \, N/kg$,what is the gravitational potential at that point?

Earth has mass $M_{1}$ and radius $R_{1}$. Moon has mass $M_{2}$ and radius $R_{2}$. The distance between their centres is $r$. $A$ body of mass $M$ is placed on the line joining them at a distance $r/3$ from the centre of the Earth. To project the mass $M$ to escape to infinity,the minimum speed required is:

Two heavy spheres each of mass $100 \; kg$ and radius $0.10 \; m$ are placed $1.0 \; m$ apart on a horizontal table. What is the gravitational force and potential at the mid-point of the line joining the centres of the spheres? Is an object placed at that point in equilibrium? If so,is the equilibrium stable or unstable?

Two bodies of masses $m$ and $M$ are placed at a distance $d$ from each other. What is the gravitational potential $V$ at the point where the gravitational field intensity is zero?

Which curve depicts the variation of gravitational potential $V$ of a hollow sphere of radius $R$ with distance $r$ from its center?