9 Questions
What is the SI unit of gravitational force?
Newton (N)
In which theory is the sun considered as the center of the universe?
Heliocentric theory
What is the relationship between gravitational force and the product of masses?
$F \propto M1 \times M2$
Compare and contrast the geocentric theory and the heliocentric theory.
The geocentric theory considers the earth as the center of the universe, while the heliocentric theory considers the sun as the center of the universe.
What is the relationship between gravitational force and the square of the distance between the centers of two objects?
$F \propto \frac{1}{d^2}$
Explain the concept of gravitational force and its SI unit.
Gravitational force is the mutual force of attraction between any two objects in the universe towards their center. Its SI unit is Newton (N).
Why is the effect of gravitational force seen more in fluids than in solids?
The effect of gravitational force is seen more in fluids than in solids because the molecules are loosely packed in fluids compared to solids.
State Newton’s universal law of gravitation and provide the mathematical representation of this law.
Newton’s universal law of gravitation states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically represented as $F = G \rac{M_1 M_2},{d^2}$, where $F$ is the gravitational force, $M_1$ and $M_2$ are masses of two objects, $d$ is the distance between the center of two objects, and $G$ is the gravitational constant.
Prove the mathematical representation of Newton’s universal law of gravitation, $F = G \rac{M_1 M_2},{d^2}$, using the given information.
Let us consider two objects having masses $M_1$ and $M_2$ and they are separated by distance $d$. Let $F$ be the gravitational force between their centers. According to Newton’s universal law of gravitation, $F = G \rac{M_1 M_2},{d^2}$.
Study Notes
Gravitational Force
- The SI unit of gravitational force is Newton (N).
Theories of the Universe
- In the geocentric theory, the Earth is considered as the center of the universe.
- In the heliocentric theory, the Sun is considered as the center of the universe.
Relationship between Gravitational Force and Mass
- Gravitational force is directly proportional to the product of masses.
Comparison of Geocentric and Heliocentric Theories
- The geocentric theory states that the Earth is at the center, while the heliocentric theory states that the Sun is at the center.
- The geocentric theory is outdated, while the heliocentric theory is widely accepted.
Gravitational Force and Distance
- Gravitational force is inversely proportional to the square of the distance between the centers of two objects.
Newton's Universal Law of Gravitation
- Newton's universal law of gravitation states that every point mass attracts every other point mass with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
- The mathematical representation of Newton's law is: F = G * (M1M2) / d^2, where F is the gravitational force, G is the gravitational constant, M1 and M2 are the masses, and d is the distance between them.
Effect of Gravitational Force on Fluids and Solids
- The effect of gravitational force is seen more in fluids than in solids because fluids are more susceptible to changes in shape and density due to gravity.
Mathematical Representation of Newton's Law
- The mathematical representation of Newton's law, F = G * (M1M2) / d^2, can be proved using the given information.
Test your knowledge of gravitational force and astronomical theories with this quiz. Explore concepts such as geocentric theory and heliocentric theory while learning about the forces that govern the universe.
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