Gravitation Essentials

Gravitation is the fundamental force of attraction between any two objects with mass. It governs the motion of planets, stars, and galaxies, and is described by Newton's Law of Universal Gravitation and Einstein's Theory of General Relativity.

Core Principles

Every particle attracts every other particle in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The force of gravity is always attractive and acts along the line joining the centers of the two masses.
Gravitational force is a universal force, meaning it applies to all objects with mass, regardless of their size or composition.
The acceleration due to gravity on Earth's surface is approximately 9.8 m/s², but it varies slightly with altitude and latitude.
Gravitational fields are regions of space where an object with mass experiences a gravitational force.
Einstein's General Relativity describes gravity not as a force, but as a curvature of spacetime caused by mass and energy.

Formulas

$F = G \frac{m_1 m_2}{r^2}$
$g = G \frac{M}{r^2}$
$W = mg$
$E_p = -G \frac{M m}{r}$
$v = \sqrt{\frac{GM}{r}}$

Quiz

What is the primary force described by Newton's Law of Universal Gravitation?: Gravitational force
If the distance between two masses is doubled, how does the gravitational force between them change?: It becomes one-fourth
According to General Relativity, gravity is a result of:: The curvature of spacetime