The document discusses Newton's realization that the force of gravity on Earth must come from Earth itself and must also be what keeps the Moon in orbit. It then explains Newton's third law and how it applies to gravitational forces between objects of different masses. The document also defines the universal law of gravitation, including how the gravitational force between two objects is proportional to their masses and inversely proportional to the square of the distance between them. It further discusses how to calculate gravitational forces and acceleration due to gravity at different locations and distances from Earth.
Introduction to physics--Branches of Physics--Importance of physicsKhanSaif2
This presentation covers about physics, branches of physics and importance of physics in a very interactive manner. I hope this presentation will be helpful for teachers as well as students.
This presentation covers vertical motion under gravity, effect of air resistance on free fall & graphs of free fall. I hope this PPT will be helpful for instructors as well as students.
Gravitation has been the most common phenomenon in our lives but somewhere down the line we don't know musch about it. So here is a presentation whic will help you out to know what it is !! I'll be makin it available for download once i submit it in school :P :P ! Coz last one of the brats showed the same presentation that i uploade and unfortunatele his roll number fell before mine ! I was damned..:D :D :P
Introduction to physics--Branches of Physics--Importance of physicsKhanSaif2
This presentation covers about physics, branches of physics and importance of physics in a very interactive manner. I hope this presentation will be helpful for teachers as well as students.
This presentation covers vertical motion under gravity, effect of air resistance on free fall & graphs of free fall. I hope this PPT will be helpful for instructors as well as students.
Gravitation has been the most common phenomenon in our lives but somewhere down the line we don't know musch about it. So here is a presentation whic will help you out to know what it is !! I'll be makin it available for download once i submit it in school :P :P ! Coz last one of the brats showed the same presentation that i uploade and unfortunatele his roll number fell before mine ! I was damned..:D :D :P
Presentation on gravitation for class 9th Rahul Shukla
It contains a brief description of gravitation with a video.
This presentation is with a deginer font and a classic theme.
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Law Of Gravitation PPT For All The Students | With Modern Animations and Info...Jay Butani
Law Of Gravitation PPT For All The Students | With Modern Animations and Infographics
All the Students od Class 1,2,3,4,5,6,7,8,9,10,11,12 and all the students of engineering, medical, CBSE, GSEB, U.P from beginner to Top and high level can get used. All The informtion are gathered to help you all the people.
All colleges and School students can use it.
All the people can reuse it by downloading by giving credits.
Copyright @ Jay Butani 2019
DISCLAIMER :- ALL THE INFORMARION ARE NOT EXACT OR 100% CORRECT THERE MAY BE MISTAKE. WE ARE NOT RESPONSIBLE OVER THAT.
3.1.3 Relate gravitational acceleration, g on the surface of the Earth with the universal gravitational constant, G
3.1.4 Justify the importance of knowing the values of gravitational acceleration of the planets in the Solar System.
3.1.5 Describe the centripetal force in the motion of satellites and planets system.
Centripetal Force, F = 푚푣2푟
3.1.6 Determine the mass of the Earth and the Sun using Newton’s universal law of gravitation and centripetal force.
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The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
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A Strategic Approach: GenAI in EducationPeter Windle
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This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
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An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
2. Newton’s Question: If the force of gravity is being exerted
on objects on Earth, what is the origin of that force?
Newton’s realization was that
this force must come from
the Earth.
He further realized that this
force must be what keeps
the Moon in its orbit.
3.
Must be true from
Newton’s 3rd Law
The gravitational force on you is half of a Newton’s 3rd Law pair: Earth
exerts a downward force on you, & you exert an upward force on Earth.
When there is such a large difference in the 2 masses, the reaction force
(force you exert on the Earth) is undetectable, but for 2 objects with masses
closer in size to each other, it can be significant.
The gravitational force one body exerts
on a 2nd body , is directed toward the
first body, and is equal and opposite to
the force exerted by the second body on
the first
4. Every particle of matter in the
universe attracts every other particle with a
force that is directly proportional to the product
of the masses of the particles and inversely
proportional to the square of the distance
between them.
F12 = -F21 [(m1m2)/r2]
Direction of this force: Along the line joining
the 2 masses
5. G = the Universal Gravitational constant
Measurements in SI Units:
The force given above is strictly valid only for:
› Very small masses m1 & m2 (point asses)
› Uniform spheres
For other objects: Need integral calculus!
6. The Universal Law of Gravitation
is an example of an inverse square law
› The magnitude of the force varies as the inverse
square of the separation of the particles
The law can also be expressed in vector form
The negative sign means it’s an attractive force
Aren’t we glad it’s not repulsive?
7. Comments
F12 Force exerted by particle 1
on particle 2
F21 Force exerted by particle 2
on particle 1
This tells us that the forces form a Newton’s 3rd Law
action-reaction pair, as expected.
The negative sign in the above vector equation tells us that
particle 2 is attracted toward particle 1
F21 = - F12
8. More Comments
Gravity is a field force that always
exists between 2
masses, regardless of the medium
between them.
The gravitational force
decreases rapidly as the
distance between the 2 masses
increases
› This is an obvious consequence
of the inverse square law
9. • Earth Radius: rE = 6320 km
Earth Mass: ME = 5.98 1024 kg
FG = G(mME/r2)
Mass of the Space craft m
• At surface r = rE
FG = weight
or mg = G[mME/(rE)2]
• At r = 2rE
FG = G[mME/(2rE)2]
or (¼)mg = 4900 N
• A spacecraft at an altitude of twice the Earth radius
10. Find the net force on the
Moon due to the gravitational
attraction of both the Earth &
the Sun, assuming they are at
right angles to each other.
ME = 5.99 1024kg
MM = 7.35 1022kg
MS = 1.99 1030 kg
rME = 3.85 108 m
rMS = 1.5 1011 m
F = FME + FMS
11. F = FME + FMS
(vector sum)
FME = G [(MMME)/ (rME)2]
= 1.99 1020 N
FMS = G [(MMMS)/(rMS)2]
= 4.34 1020 N
F = [ (FME)2 + (FMS)2]
= 4.77 1020 N
tan(θ) = 1.99/4.34
θ = 24.6º
12. Gravity Near Earth’s Surface
Gravitational
Acceleration g
and
Gravitational
Constant G
13. Obviously, it’s very important to distinguish
between G and g
They are obviously very different physical
quantities
G The Universal Gravitational Constant
› It is the same everywhere in the Universe
G = 6.673 10-11 N∙m2/kg2
Always same on every location
g The Acceleration due to Gravity
g = 9.80 m/s2 (approx) on Earth’s surface
g varies with location
G vs. g
14. Consider an object on Earth’s surface:
mE = mass of the Earth
rE = radius of the Earth
m = mass of object
Let us the Earth is a uniform, perfect
sphere.
The weight of m: FG = mg
The Gravitational force on m:
FG = G[(mmE)/(rE)2]
Setting these equal gives:
g in terms of G m
mE
g = 9.8 m/s2All quantities on the right are measured!
15. Using the same process, we can
Weigh Earth (Determine it’s mass).
On the surface of the Earth, equate the
usual weight of mass m to the Newton
Gravitation Law form for the
gravitational force:
Knowing g = 9.8 m/s2 & the radius of
the Earth rE, the mass of the Earth can
be calculated:
mE
m
All quantities on the right are measured!
16. Acceleration due to gravity at a
distance r from Earth’s center.
Write gravitational force as:
FG = G[(mME)/r2] mg
(effective weight)
g the effective acceleration
due to gravity.
SO : g = G (ME)/r2
ME
17. If an object is some distance h
above the Earth’s surface, r
becomes RE + h. Again, set the
gravitational force equal to mg:
G[(m ME)/r2] mg
This gives:
This shows that g decreases with increasing altitude
As r , the weight of the object approaches zero
2
E
E
GM
g
R h
ME