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Questions and Answers
What is Newton's law of gravitation?
What is Newton's law of gravitation?
Every particle attracts every other particle in the universe with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
What is the significance of the universal gravitational constant (G) in Newton's law of gravitation?
What is the significance of the universal gravitational constant (G) in Newton's law of gravitation?
G is the constant of proportionality in the equation F=Gm₁m₂/r² and its value is 6.67 × 10^-11 Nm² kg^-².
How does the force of attraction between two particles change with the distance between them?
How does the force of attraction between two particles change with the distance between them?
The force of attraction is inversely proportional to the square of the distance between the two particles.
What is the mathematical expression for the force of attraction between two particles according to Newton's law of gravitation?
What is the mathematical expression for the force of attraction between two particles according to Newton's law of gravitation?
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What is the unit of the universal gravitational constant (G)?
What is the unit of the universal gravitational constant (G)?
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What is the value of the universal gravitational constant (G) in the SI unit?
What is the value of the universal gravitational constant (G) in the SI unit?
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Study Notes
Newton's Law of Gravitation
- States that every point mass attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
- Expresses gravitational attraction as an omnipresent force acting between all objects with mass in the universe.
Universal Gravitational Constant (G)
- Represented as G, this constant quantifies the strength of gravitational attraction in Newton's law of gravitation.
- Essential for calculating the gravitational force between two masses; it allows for the expression of proportionality in the law.
Relationship Between Force and Distance
- The gravitational force decreases as the distance between two particles increases, specifically following the inverse square relation.
- Doubling the distance between two masses results in a gravitational force that is one-fourth its original value.
Mathematical Expression
- The force of attraction (F) between two particles can be expressed mathematically as: [ F = G \frac{m_1 m_2}{r^2} ] where m₁ and m₂ are the masses of the particles, r is the distance between their centers, and G is the universal gravitational constant.
Unit of Universal Gravitational Constant (G)
- The unit of G is expressed as N m²/kg² (Newton square meters per kilogram squared), demonstrating its role in measuring gravitational force.
Value of Universal Gravitational Constant (G)
- The approximate value of G in SI units is ( 6.674 \times 10^{-11} , \text{N m}^2/\text{kg}^2 ).
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Description
Test your knowledge of Newton's law of gravitation with this quiz. Explore the concepts of gravitational force, mass, distance, and the universal gravitational constant.
