State the universal law of gravitation derive its expression
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State the universal law of gravitation and derive its expression
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Answer:
The Law of Universal Gravitation states that every object of mass in the Universe attracts every other object of mass with a force which is directly proportional to the product of their masses and inversely proportional to the square of the separation between their centers.
Explanation:
Newton’s Law of Universal Gravitation
Newton went on to discover the law of gravitation. According to the Universal law of gravitation, the force between two bodies is directly proportional to their masses and inversely proportional to a square of the distance. Mathematically it can be represented as follows:
F∝m1m2r2⇒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 centers of two objects
This constant of proportionality is known as Universal Gravitation Constant. With careful experiments, the value of gravitational constant was found to be 6.67 x 10−11 m3⋅kg−1⋅s−2N. This experiment was performed by Henry Cavendish. Also, the value of ‘G’ remains constant throughout the universe.
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