What is Force of gravity?
The force of an object attracting
another object to its center is called the force of gravity. The earth pulls
any object within its gravitational field towards its center is called the
force of gravity of the earth. Like the Earth, other planets and satellites have
their own force of gravity. The force of gravity is also called the
gravitational force.
Whatisforceofgravity 
An object with more mass has more earth's gravity, while an
object with less mass has less earth's gravity. The force of gravity applied to
an object is also called the weight of the object. Based on Newton's universal
law of gravitation, the gravitational force generated on any object on the
surface of a planet or satellite can be found.
“The force of gravity
applied to an object is also called the weight of the object.”
Force of gravity (F) = W = GMm/R^{2} [
Where F = W ]
Here W = force of gravity or weight, M = mass of the planet, m =
mass of an object, R = Radius of the planet, and G = Universal Gravitational Constant.
Here the radius of the planet is considered the distance
between the planet and the object because there is not much difference between
the central distance between the object and the planet and the radius of the
planet.
Force of gravity of the earth
One kilogram of matter on Earth has a gravitational force of
9.8 N. It can be extracted by this
process.
Here,
Mass of
earth (M) = 6x10^{24}kg
Radius
of earth (R) = 6.38x10^{6}m
Mass of
object (m) = 1kg
Gravitational
constant (G) = 6.67x10^{11}Nm^{2}kg^{2}
The force
of gravity of earth on object (F) = ?
According to the formula,
So the force of gravity of earth on object (F) = 9.8 N
Force of gravity of moon
Like the earth, the moon has its own
gravitational force. According to the study, the gravitational force of the
moon is 1 /6 times less than that of the earth. So a person who jumps up to 2
meters above the surface of the earth can jump up to 12 meters above the
surface of the moon.
Here,
Mass of moon
(M) = 7.2x10^{22}kg
Radius
of moon (R) = 1.7x10^{6}kg
Mass of
object (m) = 1kg
Gravitational constant (G) = 6.67x10^{11}Nm^{2}kg^{2}
The force
of gravity of moon on object (F) = ?
According to the formula,
So the force of gravity of the moon on an object (F) = 1.64 N 
From the above equation, we can say that the weight of an object is 6 times more on the earth than on the moon.
Acceleration due to gravity
Gravitational acceleration is the
acceleration caused by the gravitational force of any planet. For example, the
acceleration caused by the force of gravity on an object falling freely towards
the surface of the earth is called the gravitational acceleration of the earth.
It’s indicated by ‘g’ and the value of the gravitational acceleration of earth (g)
is 9.8m/s^{2}.
The gravitational acceleration that
occurs in all objects falling freely in a certain place is the same. That is,
the gravitational acceleration that occurs in both large and small objects
falling under the same conditions is the same. Here the mass of the body has no
effect.
In this regard, the Italian scientist
Galileo made an experiment in 1590. In which he dropped large and small objects
together from the Leaning Tower of Pisa, both of which reached the ground at
the same time.
The relation between Radius (R) and gravitational acceleration (g)
Suppose M is the mass of a planet, R is
the radius and m is the mass of an object on the surface of the planet. According
to Newton’s law of gravitation.
RelationbetweenRandG 
“The gravitational
acceleration generated on a planet or satellite is inversely proportional to
the square of its radius.”
Therefore, the gravitational acceleration of an object
falling does not affect the mass of the object. And when large or small objects
fall in one place, the same acceleration is generated in all of them.
Acceleration due to gravity of earth
The acceleration due to the gravity of the earth is the
acceleration that occurs on an object falling freely on the surface of the
earth.
'g' of the Earth 
The gravitational acceleration generated on any object on Earth is inversely proportional to the square of the radius of Earth. Therefore, the gravitational acceleration is higher in the place where the radius of the earth is less (pole). Gravitational acceleration decreases in places where the radius of the earth is greater (equator).
We know that,
= 9.83 m/s^{2} 
Since the earth is not completely
spherical, it is compressed in the polar region, so the radius is less and it
is inflated in the equatorial region, so the radius is more. So the
gravitational acceleration in an object keeps changing according to the
location of the earth.
In the polar region g = 9.83 m/s^{2}
In the equatorial region g = 9.78 m/s^{2}
Acceleration due to gravity of the moon
The mass of the moon is smaller than that of the earth.
Therefore, the gravitational force of the moon is less than that of the earth,
so that the acceleration due to gravity is also less. The acceleration of
gravity on the moon is 1 / 6 times that of the earth. The value of ‘g’ of the moon
is 1.67m/s^{2}.
Different between Mass and Weight
The difference between mass and weight is given below.
Mass

Weight







According to the formula,
W
= mg
Or, W
α
g [Where ‘m’ is constant]
It means weight always depends on acceleration
due to gravity.
The value of 'G' varies in different
parts of the earth so the weight of the same mass also varies according to the
location.
see also: What is science?
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