Relation between G(Gravitational constant) and g ?

Question

Answer

F = G x M x m/ r2E = F x r = (G x M x m/ r2) x rE = mgr = (G x M x m/ r2) x r=> g = G x M/ r2OR G = g{r2/M}where,F = Force of attraction between twoo bodies(N/m2)E = energy in smaller body w.r.t the heaviour body(J)M = mass of heaviour body/planet (kg or slug)m = mass of smaller body(kg or slug)g = acceleration due to gravity (m/s2 or ft/s2)G = universal gravitational constant (m3/kg/s2 or ft3/slug/s2)r = distance between the centres of the two bodies(m or ft) The value of G is known and has been estimated by scientists as: G = 6.673 x 10-11 m3/kg/s2

Answer

G is gravitational constant =6.673×103 and g is mass let be moon

Answer

G is universal constant. g changes place to place and time to time. G is scalar quantity. g is vector quantity.

Answer

Relation between G (Gravitational constant) and g:

The gravitational constant, denoted by G, is a fundamental constant in physics that appears in the law of universal gravitation. On the other hand, g represents the acceleration due to gravity on the surface of a planet or celestial body. While these two quantities are related to gravity, they have distinct meanings and are used in different contexts.

The Law of Universal Gravitation:

The law of universal gravitation, formulated by Sir Isaac Newton, describes the force of gravity between two objects. According to this law, the force of attraction 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, it is expressed as:

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

Where:
- F is the gravitational force between the two objects
- G is the gravitational constant
- m1 and m2 are the masses of the two objects
- r is the distance between their centers

The Gravitational Constant (G):

The gravitational constant, denoted by G, is a fundamental constant that determines the strength of the gravitational force. It is a universal constant and has the same value throughout the universe. The value of G is approximately 6.67430 x 10^-11 N(m/kg)^2.

The gravitational constant is a fundamental quantity in the law of universal gravitation. It provides a proportionality factor that allows us to calculate the force of gravity between two objects based on their masses and the distance between them.

The Acceleration due to Gravity (g):

The acceleration due to gravity, represented by g, is the acceleration experienced by an object due to the gravitational force exerted by a celestial body. It is a measure of the rate at which an object falls towards the surface of a planet or celestial body.

The value of g depends on the mass and radius of the celestial body. On Earth, the average value of g is approximately 9.8 m/s^2. This means that for every second an object is in free fall near the surface of the Earth, its velocity increases by 9.8 meters per second.

Relation between G and g:

While both G and g are related to gravity, they are distinct quantities used in different contexts. The gravitational constant G determines the strength of the gravitational force between two objects, while g represents the acceleration due to gravity on the surface of a celestial body.

The relationship between G and g can be understood through the equation for the acceleration due to gravity:

g = (G * M) / r^2

Where:
- g is the acceleration due to gravity
- G is the gravitational constant
- M is the mass of the celestial body
- r is the distance from the center of the celestial body

This equation shows that g is directly proportional to G, but also depends on the mass and radius of the celestial body. Therefore, while G remains constant, g can vary depending on the specific celestial body being considered.

In summary, G is the gravitational constant that determines the strength of the gravitational force, while g represents the acceleration due to gravity on the surface of a celestial body. The relationship between G and g is captured in the equation for the acceleration due to gravity, which depends on G, the mass of the celestial body, and

Similar Class 9 Doubts

What is the similarities between acceleration due to gravity ( g) and gravitational constant G?

What is the relation between g and G ?

Why is ‘G’ called the universal gravitational constant?

What are differences between G and g in gravitational chapter

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Class 9

English Grammar Advanced

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company