Gravitational Force Between Two Bodies:
Newton’s law of gravity states that the gravitational force between two bodies is proportional to the product of their masses and inversely proportional to the square of the distance between them.To know more about Gravitational Force Between Two Bodies,watch Gravitational Force Between Two Bodies Video to learn more .
The Universal Gravitation Equation is:
F = GMm/R2
- F is the force of attraction between two objects in newtons (N)
- G is the Universal Gravitational Constant = 6.674*10−11 N-m2/kg2
- M and m are the masses of the two objects in kilograms (kg)
- R is the separation in meters (m) between the objects, as measured from their centers of mass
Force attracting Earth and Moon
To calculate the gravitational force pulling the Earth and Moon together, you need to know their separation and the mass of each object.
The Earth and Moon are approximately 3.844*105 kilometers apart, center to center. Since the units of G are in meters, you need to change the units of separation to meters.
R = 3.844*108 m
Mass of each object
Let M be the mass of the Earth and m the mass of the Moon.
M = 5.974*1024 kg
m = 7.349*1022 kg
Force of Attraction
Thus, the force of attraction between the Earth and Moon is:
F = GMm/R2
F = (6.674*10−11 N-m2/kg2)(5.974*1024 kg)(7.349*1022 kg)/(3.844*108 m)2
F = (2.930*1037 N-m2)/(1.478*1017 m2)
F = 1.982*1020 N
Attraction between Earth and Moon
Result of force
This considerable force is what holds the Moon in orbit around the Earth and prevents it from flying off into space. Inward force of gravitation equals the outward centrifugal force from the motion of the Moon.
Subject : Physics
Lesson : Gravitation
Topic:Gravitational Force Between Two Bodies Video
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