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Gravitation Quiz

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Questions and Answers

What does Newton's law of gravitation state?

Every particle of matter attracts every other particle of matter with a force directly proportional to their masses and inversely proportional to the cube of their separation.

Every particle of matter attracts every other particle of matter with a force inversely proportional to the product of their masses and directly proportional to the square of their separation.

Every particle of matter attracts every other particle of matter with a force proportional to the product of their masses and inversely proportional to the square of their separation. (correct)

Every particle of matter attracts every other particle of matter with a force inversely proportional to their masses and directly proportional to the cube of their separation.

What is the mathematical expression for the force of attraction between two particles according to Newton's law of gravitation?

$F = Gm_1m_2r^2$

$F = Gm_1 + m_2r^2$

$F = \frac{Gm_1m_2}{r^2}$ (correct)

$F = \frac{Gm_1m_2}{r}$

What did Sir Isaac Newton publish in 1687 A.D.?

A treatise on the nature of galaxies and stars.

A paper on the formation of comets and asteroids.

An article on the behavior of meteoroids.

Principia Mathematica, which explains the inverse-square law of gravitation. (correct)

What is the universal constant of gravitation denoted by in the mathematical expression of Newton's law of gravitation?

<p>G</p> Signup and view all the answers

What is the vector form of Newton's law of gravitation?

<p>It is given by the equation $\vec{F} = -G\frac{m_1m_2}{r^2}\hat{r}$</p> Signup and view all the answers

Study Notes

Newton's Law of Gravitation

Newton's law of gravitation describes how every mass attracts every other mass in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The mathematical expression for this force of attraction between two particles is given by:
F = G * (m1 * m2) / r²*
where F is the gravitational force, m1 and m2 are the masses of the objects, r is the distance between their centers, and G is the universal gravitational constant.

Publication in 1687

Sir Isaac Newton published "Philosophiæ Naturalis Principia Mathematica" in 1687, which laid the groundwork for classical mechanics and introduced the laws of motion as well as the law of gravitation.

Universal Constant of Gravitation

In the expression of Newton's law of gravitation, the universal constant of gravitation is denoted by G, which quantifies the strength of the gravitational force.

Vector Form of Newton's Law of Gravitation

The vector form of Newton's law can be expressed as:
F = -G * (m1 * m2) / r² * r̂*
where r̂ is the unit vector pointing from one mass toward the other, indicating that the force is attractive.

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Description

Test your knowledge of gravitational force and its effects on celestial bodies with this quiz based on Class 11 Physics Chapter 8: Gravitation. Assess your understanding of the nature phenomenon of gravitation, as well as the work of Sir Isaac Newton in this field.