Gravitation — Prelims Questions

A body of mass $m$ is placed on the Earth's surface. If $M_E$ is the mass of Earth and $R_E$ is its radius, the gravitational potential energy of the body is:

If the radius of Earth shrinks by $2$ (mass remaining constant), then the acceleration due to gravity on its surface would:

A satellite is orbiting Earth at a height $h$ above its surface. If $R_E$ is the radius of Earth and $g$ is the acceleration due to gravity on Earth's surface, the orbital velocity of the satellite is:

Two point masses $m_1$ and $m_2$ are separated by a distance $r$. If the distance between them is doubled, and the masses are also doubled, how does the gravitational force between them change?

According to Kepler's second law, the line joining a planet to the Sun sweeps out equal areas in equal intervals of time. This law is a consequence of the conservation of:

What is the ratio of escape velocity to orbital velocity for a satellite orbiting very close to the Earth's surface?