Universal Gravitational Constant Mathematical Representation

The mathematical representation of the Universal Gravitational Constant, denoted by “G,” is given by the formula:

F = G (m1m2/r2)

where,

  • F is the gravitational force between two objects
  • G is the Universal Gravitational Constant
  • m1 and m2 are Masses of the Two Objects
  • r is Distance between two Objects

This formula is derived from Newton’s law of universal gravitation, which states that the attractive force between two objects is equal to G times the product of their masses, inversely proportional to the square of the distance between them, directed along the line connecting their centers of mass.

S I Units of Universal Gravitational Constant

SI units of G are N·m2·kg-2

CGS unit of Universal Gravitational Constant is dyn·cm2·g-2.

Universal Gravitational Constant Dimensional Formula

The dimensional formula of the Universal Gravitational Constant, denoted by “G,” is

[M-1L3T-2]

Learn more about Universal law of Gravitation

Universal Gravitational Constant

Universal Gravitational Constant Value is,

G = 6. 6743 x 10-11 N.m2.kg -2 or 6.6743×10-8 Dyn.cm2.g-2

Universal Gravitational Constant is a physical constant involved in the calculations of gravitational effects. It is the gravitational force acting between two bodies of unit mass. The Universal Gravitational Constant is used in different formulas of Gravitation.

In this article, we will look into the Universal Gravitational Constant, Universal Gravitational Constant Dimension, Universal gravitational constant Value, and others in detail.

Table of Content

  • What is a Universal Gravitational Constant?
  • Newton’s Universal Gravitation Law
  • Universal Gravitational Constant Mathematical Representation
  • Application of Universal Gravitational Constant
  • Examples on Universal Gravitational Constant

Similar Reads

What is a Universal Gravitational Constant?

The Universal Gravitational Constant, also known as the gravitational constant, is a fundamental physical constant involved in the calculation of gravitational effects in Sir Isaac Newton’s law of universal gravitation and in Albert Einstein’s theory of general relativity. It is denoted by the capital letter “G” and has a value of approximately....

Newton’s Universal Gravitation Law

Newton’s law of universal gravitation states that the attractive force between two objects is equal to G times the product of their masses. It is inversely proportional to the square of the distance between them, directed along the line connecting their centers of mass....

Universal Gravitational Constant Mathematical Representation

The mathematical representation of the Universal Gravitational Constant, denoted by “G,” is given by the formula:...

Application of Universal Gravitational Constant

Here are some examples of how the Universal Gravitational Constant is used in various situations:...

Examples on Universal Gravitational Constant

Example 1: Two particles of equal mass “m” go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle with respect to their center of mass is...

Practice Questions on Universal Gravitational Constant

Q1. The mass of a spaceship is 2000 kg. It is to be launched from the earth’s surface out into free space. The value of ‘g’ and ‘R’ (radius of the earth) is 20 m/s2 and 8000 km respectively. The required energy for this work will be?...

Universal Gravitational Constant-FAQs

1. What is the Use of Universal Gravitational Constant?...

Contact Us