Geostationary Satellites — MCQ Practice

A geostationary satellite orbits the Earth at an altitude of approximately $35,786\,\text{km}$ above the surface. If the Earth's radius is $6371\,\text{km}$, what is the approximate orbital velocity of the satellite? (Given: $G = 6.67 \times 10^{-11}\,\text{N m}^2/\text{kg}^2$, Mass of Earth $M = 5.97 \times 10^{24}\,\text{kg}$)

Which of the following conditions is NOT required for a satellite to be geostationary?

If the orbital radius of a geostationary satellite is $r$, and the Earth's mass is $M$, what is the expression for its orbital period $T$?

A geostationary satellite has a total mechanical energy $E = -\frac{GMm}{2r}$. If the satellite's mass is $m$, and it is moved to a higher orbit (larger $r$), how does its total mechanical energy change?

What is the approximate angular velocity of a geostationary satellite relative to the center of the Earth? (Given: Earth's sidereal day $T = 86164\,\text{s}$)

Why are geostationary satellites primarily used for telecommunications and broadcasting?