universal law of gravitation derivation with explanation about universal gravitational constant and its si unit
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Explanation:
In Newton's law, it is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and the inverse square of their distance. In the Einstein field equations, it quantifies the relation between the geometry of spacetime and the energy–momentum tensor.
The measured value of the constant is known with some certainty to four significant digits. In SI units its value is approximately 6.674×10−11 m3⋅kg−1⋅s−2
Answer:
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states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
The equation for universal gravitation thus takes the form
F∝m1m2r2 ⇒F=Gm1m2r2
Sir Isaac Newton put forward the universal law of gravitation in 1687 and used it to explain the observed motions of the planets and moons.
In this article, let us familiarize ourselves with Newton’s law of Universal Gravitation.
Universal Gravitation Equation
Newton’s universal law of gravitation extends beyond the gravity of the earth. The universal law of gravity is about the universality of gravity. Newton’s conclusion about the magnitude of gravitational forces is summarized symbolically as
F=Gm1m2r2
where,
F is the gravitational force between two bodies
m1 is the mass of one object
m2 is the mass of the second object
r is the distance between the centres of two objects
G is the Universal Gravitation Constant
The constant proportionality (G) in the above equation is known as the universal gravitation constant. The precise value of G was experimentally determined by Henry Cavendish in the century after Newton’s death. The value of G is found to be G = 6.673 x 10-11 N m2/kg2.
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