Definition of the Gravitational Constant (G)
The Universal Gravitational Constant, denoted as 'G', is a fundamental physical constant used in Isaac Newton's Law of Universal Gravitation. It quantifies the strength of the gravitational force between any two objects. Its value is infinitesimally small, indicating that gravity is the weakest of the four fundamental forces of nature.
Role in Newton's Law of Universal Gravitation
Newton's Law states that the gravitational force (F) between two masses (m1 and m2) is directly proportional to the product of their masses and inversely proportional to the square of the distance (r) between their centers. The mathematical expression is F = G * (m1 * m2) / r^2. Here, G serves as the proportionality constant that translates the relationship into an exact equality.
Numerical Value and Units of G
The internationally accepted approximate value of the Universal Gravitational Constant (G) is 6.674 × 10^-11 N⋅m²/kg² (Newton meters squared per kilogram squared). This extremely precise, experimentally determined value is critical for accurate calculations in fields such as astrophysics, orbital mechanics, and understanding the large-scale structure of the universe.
Importance and Applications
G is indispensable for calculating the gravitational attraction between any two objects, ranging from planets and stars to everyday items. It enables scientists to determine the mass of celestial bodies, predict their orbital paths, and model various cosmic phenomena. Unlike 'g' (the acceleration due to gravity), which varies with location, G is a universal constant, maintaining the same value everywhere in the cosmos.