Application of Universal Gravitational Constant

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

Calculating the gravitational force between two objects: Using the formula

F = Gm₁m₂/r²

We can calculate the gravitational force between two objects with masses m1​ and m2​ and a distance r between them. For example, if m₁​ is 1 kg, m_2​ is 2 kg, and r is 3 m, the gravitational force between them would be:

F= G 1kg × 2kg/ 3m = 0.002N

Measuring Mass of Celestial Objects: The gravitational constant can be used to measure the mass of celestial objects, such as stars, planets, or galaxies, by observing their gravitational effects on nearby objects. For example, the mass of our planet can be calculated using the gravitational constant and the acceleration due to gravity on Earth.

Testing Equivalence Principle in General Relativity: The gravitational constant plays a crucial role in testing the equivalence principle, which states that the laws of physics are the same in all inertial frames. By measuring the gravitational force between objects in different frames, scientists can verify the consistency of the laws of gravity.

Studying Motion of Celestial Bodies: The gravitational constant is used in the analysis of the motion of celestial bodies, such as planets and moons, under the influence of gravity. By knowing the masses of the objects and the distance between them, scientists can calculate the gravitational force acting on them and predict their motion.

Related Resources,

• Kepler’s Law of Planetary Motion
• Law of Inertia
• Centripetal and Centrifugal Force

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.