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      • Stated in modern language, Newton’s universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
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  2. In modern language, the law states the following: Every point mass attracts every single other point mass by a force acting along the line intersecting both points. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them: [10]

  3. Apr 12, 2024 · Newton’s law of gravitation, statement that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them. Isaac Newton put forward the law in 1687.

    • The Editors of Encyclopaedia Britannica
  4. Apr 10, 2024 · Newton’s Law of Gravitation. Newton’s law of gravitation can be expressed as. F. 12 = Gm1m2 r2 r^12 (13.2.1) (13.2.1) F → 12 = G m 1 m 2 r 2 r ^ 12. where F. 12 F → 12 is the force on object 1 exerted by object 2 and r^12 r ^ 12 is a unit vector that points from object 1 toward object 2.

    • Figure \(\PageIndex{1}\): According to early accounts, Newton was inspired to make the connection between falling bodies and astronomical motions when he saw an apple fall from a tree and realized that if the gravitational force could extend above the ground to a tree, it might also reach the Sun.
    • Figure \(\PageIndex{2}\): Gravitational attraction is along a line joining the centers of mass of these two bodies. The magnitude of the force is the same on each, consistent with Newton’s third law.
    • Figure \(\PageIndex{3}\): The distance between the centers of mass of Earth and an object on its surface is very nearly the same as the radius of Earth, because Earth is so much larger than the object.
    • Figure \(\PageIndex{4}\): The Moon causes ocean tides by attracting the water on the near side more than Earth, and by attracting Earth more than the water on the far side.
  5. Stated in modern language, Newton’s universal law of gravitation states that every particle in the universe attracts every other particle with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

  6. Newton's law of universal gravitation states that any two objects with mass will experience a gravitational force that is… universal (acts on all objects) attractive (there is no such thing as antigravity) directly proportional to the mass of each object (mass makes gravity)

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