Gravitational Potential — Prelims Questions

A uniform solid sphere of mass $M$ and radius $R$ has a gravitational potential $V_S$ at its surface. What is the gravitational potential at its center?

Two point masses, $m_1 = 100\,\text{kg}$ and $m_2 = 400\,\text{kg}$, are separated by a distance of $10\,\text{m}$. At what point on the line joining them is the gravitational potential zero?

The gravitational potential at a height $h$ from the surface of Earth (radius $R$, mass $M$) is $V_h$. What is the gravitational potential at the surface of Earth?

The work done in slowly lifting a mass $m$ from the surface of Earth (radius $R$, mass $M$) to a height $h$ is $W$. What is the change in gravitational potential energy?

If the gravitational potential at a point is $-5 \times 10^7\,\text{J/kg}$, what is the escape velocity from that point?

Which of the following statements about gravitational potential is INCORRECT?