free powerpoint templates page 1 two bodies attract each other with a force that is directly...

Free Powerpoint Templates

Two bodies attract each other with a force that is directly proportional

to the square of the distance between them.

NE

WTO

N’S

NE

WTO

N’S

LAW of

GRAVITATIONAGRAVITATIONALL

UNIVERSALUNIVERSAL


NEWTON’S LAW OF NEWTON’S LAW OF UNIVERSAL UNIVERSAL

GRAVITATIONGRAVITATION States that all objects in the States that all objects in the

universe attracts each other universe attracts each other by the force of gravity.by the force of gravity.


The size of the force depends on the The size of the force depends on the two(2) factors:two(2) factors:

- The masses of the objects- The masses of the objects

- The distance between them- The distance between them

The force of gravity increases as the The force of gravity increases as the mass of object increases, mass of object increases, Gravitational forces decreases as the Gravitational forces decreases as the distance between the objects distance between the objects increases.increases.


KEPLE

R’S

LAW of

PLANETARYMOTION


• Kepler's First Law (on orbits)Every planet moves in an elliptical orbit, Every planet moves in an elliptical orbit,

with the Sun at one focus.with the Sun at one focus.


• Kepler's Second Law (on Kepler's Second Law (on areas)areas)

As a planet moves in its orbit a line As a planet moves in its orbit a line drawn from the Sun to the Planet sweeps drawn from the Sun to the Planet sweeps out equal areas in equal time intervals.out equal areas in equal time intervals.

See diagram below.See diagram below.


The line joining the two bodies (the The line joining the two bodies (the sun and the revolving object) sweeps equal sun and the revolving object) sweeps equal areas in equal times.areas in equal times.

The graphic precisely displays The graphic precisely displays Kepler's second law. The area of every Kepler's second law. The area of every triangle formed is exactly the same area. triangle formed is exactly the same area. Also notice as the planet or satellite moves Also notice as the planet or satellite moves closer to the sun, the speed of its orbit closer to the sun, the speed of its orbit increases, but when it is located farther increases, but when it is located farther away from the sun, the speed in which the away from the sun, the speed in which the planet or satellite revolves around the sun is planet or satellite revolves around the sun is slower.slower.


•Kepler's Third Law (on periods)

The squares of the sidereal The squares of the sidereal periods of the planets are periods of the planets are proportional to the cubes of their proportional to the cubes of their semi major axis.semi major axis.

pp22 = a = a33


NEWTON’S LAWS

OF MOTIO

N


NEWTON’S LAWS OF MOTION• Law of Inertia – an object that is at rest Law of Inertia – an object that is at rest

or in motion stays at rest or in motion in or in motion stays at rest or in motion in a straight line unless acted by an a straight line unless acted by an outside forceoutside force

• Law of Acceleration – the acceleration Law of Acceleration – the acceleration of an object is proportional to the force of an object is proportional to the force acting on the object.acting on the object.

• Law of Interaction – for every action, Law of Interaction – for every action, there is always an equal but opposite there is always an equal but opposite reaction. reaction.


EQUATION OF FINDING GRAVITATIONAL FORCE

If two objects have masses mIf two objects have masses m11 & m & m22 and are separated by a distance r, then and are separated by a distance r, then the gravitational force F between these two the gravitational force F between these two masses ismasses is

G is a number called the universal G is a number called the universal constant of gravitational which has been constant of gravitational which has been determined from laboratory experiments.determined from laboratory experiments.


Using his laws of gravity, Using his laws of gravity, Newton found out that he called Newton found out that he called mathematically by trial and error that mathematically by trial and error that pp22 = a = a22..

Newton demonstrated Newton demonstrated mathematically that this equation mathematically that this equation follows logically from his law of follows logically from his law of gravity anytime the two objects gravity anytime the two objects revolve about each other.revolve about each other.


Prepared Prepared by:by:Janeruth CabanasJaneruth Cabanas

Cybele GuillermoCybele Guillermo

Ericamhel BonillaEricamhel Bonilla

Christine Rose Christine Rose TampilTampil

Anthony Ryan Anthony Ryan AquinoAquino

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