What is the potential energy of a satellite at a height of $6.4 \times 10^6 \, m$ from the surface of the Earth? ($R_e$ = radius of the Earth)

If the potential at the surface of the Earth is assigned a zero value,then the potential at the center of the Earth will be (Mass $= M$,Radius $= R$).

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?

If $g$ is the acceleration due to gravity on the earth's surface,the gain in the potential energy of an object of mass $m$ raised from the surface of the earth to a height equal to the radius $R$ of the earth is

The gravitational field due to a mass distribution is $E = K/x^3$ in the $X$-direction ($K$ is a constant). Taking the gravitational potential to be zero at infinity,its value at a distance $x$ is: