Download Newton`s law universal gravitational

NEWTON’S
LAW of
UNIVERSAL
GRAVITATIONAL
Two bodies attract each other with a force
that is directly proportional to the square of
the distance between them.
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NEWTON’S LAW OF
UNIVERSAL GRAVITATION
 States that all objects in the
universe attracts each other
by the force of gravity.
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 The size of the force depends on the
two(2) factors:
- The masses of the objects
- The distance between them
The force of gravity increases as the
mass of object increases,
Gravitational forces decreases as
the distance between the objects
increases.
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KEPLER’S
LAW of
PLANETARY
MOTION
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• Kepler's First Law (on orbits)
Every planet moves in an elliptical orbit,
with the Sun at one focus.
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• Kepler's Second Law (on areas)
As a planet moves in its orbit a line
drawn from the Sun to the Planet sweeps
out equal areas in equal time intervals.
See diagram below.
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The line joining the two bodies (the sun
and the revolving object) sweeps equal
areas in equal times.
The graphic precisely displays Kepler's
second law. The area of every triangle
formed is exactly the same area. Also notice
as the planet or satellite moves closer to the
sun, the speed of its orbit increases, but
when it is located farther away from the sun,
the speed in which the planet or satellite
revolves around the sun is slower.
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•Kepler's Third Law (on
periods)
The squares of the sidereal
periods of the planets are
proportional to the cubes of their
semi major axis.
p2 = a3
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NEWTON’S
LAWS OF
MOTION
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NEWTON’S LAWS OF MOTION
• Law of Inertia – an object that is at rest
or in motion stays at rest or in motion in
a straight line unless acted by an
outside force
• Law of Acceleration – the acceleration
of an object is proportional to the force
acting on the object.
• Law of Interaction – for every action,
there is always an equal but opposite
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EQUATION OF FINDING
GRAVITATIONAL FORCE
If two objects have masses m1 & m2
and are separated by a distance r, then
the gravitational force F between these
two masses is
G is a number called the universal
constant of gravitational which has been
determined from laboratory experiments.
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Using his laws of gravity, Newton
found out that he called
mathematically by trial and error that
p2 = a2.
Newton demonstrated
mathematically that this equation
follows logically from his law of
gravity anytime the two objects
revolve about each other.
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Prepared by:
Janeruth Cabanas
Cybele Guillermo
Ericamhel Bonilla
Christine Rose Tampil
Anthony Ryan Aquino
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