Orbital Motion — Prelims Questions

A satellite of mass $m$ orbits Earth (mass $M$) in a circular orbit of radius $r$. Which of the following statements about its orbital velocity ($v_o$) is correct?

A satellite is orbiting Earth at a height $h$ above its surface. If $R$ 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 satellites $A$ and $B$ orbit a planet in circular orbits. Satellite $A$ has an orbital radius $r$ and period $T$. Satellite $B$ has an orbital radius $4r$. What is the period of satellite $B$?

The total mechanical energy of a satellite orbiting Earth in a circular orbit is $E$. What is its kinetic energy?

Which of the following statements is true for a geostationary satellite?

An object is projected from Earth's surface with a velocity equal to its orbital velocity at Earth's surface. What will be the trajectory of the object?