8. Centripetal Forces & Gravitation

According to Newton's law of universal gravitation, what happens to the gravitational force between two bodies when the distance between them increases in a two-dimensional space?

Why does $Neptune$ take much longer to revolve around the $Sun$ compared to planets closer to the $Sun$?

Which method is most appropriate for determining the distance to a very far galaxy in the context of gravitational forces in $2^D$?

Why does an object weigh more at sea level by the ocean than it does at the top of a mountain?

Approximately how far is the Moon from the Earth, measured center-to-center?

Which of the following quantities would be different for an object if measured on the $Earth$ and on the $Moon$?

In the context of gravitational forces in two dimensions, which of the following can be detected only by observing its effects on gravity?

Which of the following best explains why astronauts seem weightless while orbiting $Earth$?

In which region of the Sun is most of its energy generated through nuclear fusion?

Which force is the only force acting on an object in stable orbit around $Earth$, neglecting atmospheric drag and other perturbations?

Find the magnitude & direction of the net gravitational force on the center 5-kg mass in the rectangle below.

Why does one side of the $\mathrm{Moon}$ always face away from the $\mathrm{Earth}$?

Approximately how many $\mathrm{Earths}$ could fit inside the volume of the $\mathrm{Sun}$?

Why does the same side of the $\mathrm{Moon}$ always face the $\mathrm{Earth}$?

Which of the following best explains why the Moon always shows the same face to the Earth, even though it orbits the Earth in two dimensions?