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State the Universal Law of Gravitation

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Answer:

As per Newton's universal law of gravitation , objects attract each other with a force which is directly proportional the product of their masses and inversely proportional to the

User Hamczu
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Answer:

The Universal Law of Gravitation is a fundamental principle in physics formulated by Sir Isaac Newton in the late 17th century. It describes the force of gravitational attraction between two objects with mass. The law can be summarized by the following equation:

F = G * (m1 * m2) / r^2

Where:

  • F is the gravitational force between the two objects.
  • G is the gravitational constant, a universal constant of proportionality that is approximately equal to 6.674 × 10^-11 N·(m/kg)^2.
  • m1 and m2 are the masses of the two objects.
  • r is the distance between the centers of the two objects.

Key points about the Universal Law of Gravitation:

  • Inverse Square Law: The gravitational force is inversely proportional to the square of the distance (r) between the centers of the two objects. This means that as the distance between the objects increases, the gravitational force decreases rapidly.
  • Direct Proportion to Mass: The gravitational force is directly proportional to the product of the masses of the two objects (m1 * m2). This means that objects with larger masses exert a stronger gravitational force on each other.
  • Attraction: Gravitational force is always attractive, meaning it pulls objects together. There is no such thing as "negative gravity" in this classical sense.
  • Universal: The law applies to all objects in the universe that have mass. It is not limited to objects on Earth and can be used to describe the motion of planets, stars, and other celestial bodies.
  • Fundamental to Celestial Mechanics: The Universal Law of Gravitation was crucial in explaining the orbits of planets around the Sun and is a fundamental component of classical mechanics. It laid the foundation for our understanding of planetary motion and helped predict the positions of celestial bodies.

While the Universal Law of Gravitation is highly accurate for most everyday situations, it was later superseded by Albert Einstein's General Theory of Relativity in the early 20th century. General Relativity provides a more comprehensive and accurate description of gravity, especially in extreme conditions such as those near massive objects or at very high velocities. However, Newton's Law of Universal Gravitation remains a practical and widely used approximation for most everyday calculations involving gravity.

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