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Gravitational Force & Laws of Motion | Edudstudy
Gravitational Force is introduced by the Laws of Motion in which force requires energy. The gravitational force has attraction and repulsion power. The heavenly bodies are governed by this force and make the sky how deep we wish we knew. Gravitational force scatters in the universe.
1) Force :
"A force is essential to change the speed and the direction of motion of an object."
2) Centripetal Force:
"A force acts on any object moving along a circle and it is directed towards the center of the circle is called Centripetal Force." the object tries to go towards the center of the circle because of the centripetal force. It is the center-seeking process. The centripetal force is the force acting on the planet and is responsible for its circular motion. It must be inversely proportional to the square of the distance between the planet and the Sun.
3)Acceleration due to gravity:
The earth exerts a gravitational force on objects near it. A force acting on a body results in its acceleration. Thus, the gravitational force due to the earth on a body results in its acceleration is called acceleration due to gravity which is denoted by "g."
4) Free Fall :
When any object moves under the influence of the force of gravity alone is called Free Fall.
5) Escape Velocity :
1) The value of "g" keeps decreasing as a body goes higher above the surface of the earth and the gravitational force pulling the body downward decreases. If we increase the initial velocity the body goes high and overcomes the downward pull by the earth and can escape the earth forever and will not fall on the earth back is called Escape Velocity.
Kepler's Laws :
He stated three laws about a planetary motion which are known as Kepler's Laws. The planetary data were available by the 16th century. Using this data, he stated certain laws. They are the following:
Kepler's 1st law :
"The orbit of a planet is an ellipse with the sun at one of the foci." It depicts that the planets revolve around the sun in an elliptical orbit.
Kepler's 2nd Law :
"The line joining the planet and the Sun sweeps equal areas in equal interval of time." Though the orbit is elliptical, the distance in which planets travel around the Sun is equal in time and area.
Kepler's 3rd law :
"The square of its period of revolution around the sun is directly proportional to the cube of the mean distance of a planet from the Sun."
T^2 a r^3 or T^2/r^3 = constant / K
We squared the period of revolution which is directly proportional to cubic mean distance. The most important thing in it is the Squared period of revolution and the mean distance from the Sun.
When these facts came before, Newton formulates the theory of Universal Gravity. because Kepler had no explanation of why the planets obey these laws, just he stated the truth only before the world. But the real explanation was given by Newton.
Before we go ahead, we must understand the laws of motion as follows:
We squared the period of revolution which is directly proportional to cubic mean distance. The most important thing in it is the Squared period of revolution and the mean distance from the Sun.
When these facts came before, Newton formulates the theory of Universal Gravity. because Kepler had no explanation of why the planets obey these laws, just he stated the truth only before the world. But the real explanation was given by Newton.
Before we go ahead, we must understand the laws of motion as follows:
Newton's Laws of Motion :
Newtons 1st Law of Motion :
Newton's first law of motion depends on the balanced and unbalanced force.
"An object continues to remain at rest or in a state of uniform motion along a straight line unless an external unbalanced force acts on it."
Newtons 2nd Law of Motion :
This law is also known as the law of Momentum.
"The rate of change of momentum is proportional to the applied force and the change of momentum occurs in the direction of the force." Momentum is the product of the mass and velocity of an object. P= mv.
“The rate of change of momentum is proportional to the applied force and the change of momentum occurs in the direction of the force.
“The rate of change of momentum is proportional to the applied force and the change of momentum occurs in the direction of the force.
Newtons 3rd Law of Motion :
" Every action force, there is always an equal and opposite reaction force which acts simultaneously."
These three laws of motion could explain well the theory of Kepler's Laws. But the main thing in it is the Universal Gravitational force which is acting on every aspect of the universe.
These three laws of motion could explain well the theory of Kepler's Laws. But the main thing in it is the Universal Gravitational force which is acting on every aspect of the universe.
Newtons Universal Law of Gravitation:
"Everybody in the universe attracts every object with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them."
F = G( m1m2/ d^2)
That is if the mass of one object is doubled, the force between the two objects also doubles and if the distance is doubled, the force decreases by a factor of four. If two bodies are spherical, the direction of the force is always along the line joining the center of the two bodies, and the distance between the centers is taken to be "d".
That is if the mass of one object is doubled, the force between the two objects also doubles and if the distance is doubled, the force decreases by a factor of four. If two bodies are spherical, the direction of the force is always along the line joining the center of the two bodies, and the distance between the centers is taken to be "d".
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