The curves for potential energy $(U)$ and kinetic energy $(E_k)$ of a two-particle system are shown in the figure. At what points will the system be bound?

Two bodies of mass $m$ and $9 m$ are placed at a distance $R$. The gravitational potential on the line joining the bodies where the gravitational field equals zero,will be ($G=$ gravitational constant):

The change in potential energy when a body of mass $m$ is raised to a height $n R$ from the earth's surface is (where $R$ is the radius of the earth).

Write the expression for gravitational potential energy and gravitational potential at the surface of the Earth.

If the gravitational field in space is given as $E = -\frac{K}{r^2}$. Taking the reference point at $r = 2\,cm$ with gravitational potential $V = 10\,J/kg$. Find the gravitational potential at $r = 3\,cm$ in $SI$ units. (Given: $K = 6\,J\cdot cm/kg$)

Give the difference between gravitational potential energy and gravitational potential.