8. Centripetal Forces & Gravitation

For a satellite of mass $m$ in a stable circular orbit of radius $r$ around a planet of mass $M$, what is the total mechanical energy of the satellite in terms of the gravitational constant $G$?

For a planet of mass $m$ orbiting a star of mass $M$ in a stable circular orbit of radius $r$, what is the total mechanical energy of the planet in terms of the gravitational constant $G$?

Which of the following is the best estimate for the energy density of nuclear fuels (in terajoule per kilogram, where $1$ terajoule = $1\times {10}^{12}$ joule)?

In the context of the energy of circular orbits for a planet of mass $m$ orbiting a star of mass $M$ at radius $r$, which of the following correctly relates the gravitational potential energy to the kinetic energy of the planet in its orbit?

Some jovian planets give off more energy than they receive from the Sun because of which of the following processes?

Which type of energy transformation is best illustrated by a dam generating electricity from water flowing downhill?

In the context of the energy of circular orbits, which of the following best describes the total mechanical energy $E$ of a satellite of mass $m$ in a stable circular orbit of radius $r$ around a planet of mass $M$?

Tidal barrage dams are used to produce hydroelectric power. At which points during the tidal cycle is energy generated?

In the context of circular orbits, energy and work are measured in which of the following SI units?

Which of the following correctly expresses the total mechanical energy $E$ of a mass $m$ in a stable circular orbit of radius $r$ around a much larger mass $M$ (such as a planet orbiting a star), where $G$ is the gravitational constant?

The Sun is expected to undergo hydrogen fusion for a total of how many years?

A proton with rest mass $m=1.67\times {10}^{-27}\mathrm{kg}$ has a total energy that is 4.00 times its rest energy. What is the speed of the proton as a fraction of the speed of light $c$?

For a hydrogen atom in an excited state, what is the energy of the electron in the $n=5$ level?

Which of the following best describes the total mechanical energy $E$ of a satellite of mass $m$ in a stable circular orbit of radius $r$ around a planet of mass $M$?

Which of the following correctly describes the total mechanical energy $E$ of a planet of mass $m$ in a stable circular orbit of radius $r$ around a star of mass $M$?