THE LAW OF GRAVITY UNIVERSE. Newton's Law of Universal Gravitation Every particle in nature attract other particles with a large force is directly proportional.

Slides:



Advertisements
Similar presentations
UNIT 6 (end of mechanics) Universal Gravitation & SHM
Advertisements

14 The Law of Gravity.
Review Chap. 12 Gravitation
The Beginning of Modern Astronomy
Chapter 8 Gravity.
Gravity.
Ch12-1 Newton’s Law of Universal Gravitation Chapter 12: Gravity F g = Gm 1 m 2 /r 2 G = 6.67 x Nm 2 /kg 2.
D. Roberts PHYS 121 University of Maryland Physic² 121: Phundament°ls of Phy²ics I November 6, 2006.
Physics 151: Lecture 28 Today’s Agenda
Gravitation Newton’s Law of Gravitation; Kepler’s Laws of Planetary Motion. Lecture 14 Monday: 1 March 2004.
Chapter 13: Gravitation. Newton’s Law of Gravitation A uniform spherical shell shell of matter attracts a particles that is outside the shell as if all.
Physics 111: Elementary Mechanics – Lecture 12 Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research.
Physics 111: Mechanics Lecture 13 Dale Gary NJIT Physics Department.
Chapter 13 Gravitation.
CH 12: Gravitation. We have used the gravitational acceleration of an object to determine the weight of that object relative to the Earth. Where does.
Newton and Kepler. Newton’s Law of Gravitation The Law of Gravity Isaac Newton deduced that two particles of masses m 1 and m 2, separated by a distance.
Law of gravitation Kepler’s laws Energy in planetary motion Atomic spectra and the Bohr model Orbital motion (chapter eleven)
Physics 111: Mechanics Lecture 13
Universal Gravitation
Newton’s Law of Universal Gravitation
Kepler’s first law of planetary motion says that the paths of the planets are A. Parabolas B. Hyperbolas C. Ellipses D. Circles Ans: C.
Physics 201: Lecture 24, Pg 1 Chapter 13 The beautiful rings of Saturn consist of countless centimeter-sized ice crystals, all orbiting the planet under.
Physics 215 – Fall 2014Lecture Welcome back to Physics 215 Today’s agenda: Newtonian gravity Planetary orbits Gravitational Potential Energy.
Physics 221 Chapter 13 Is there gravity on Mars? Newton's Law of Universal Gravitation F = GmM/r 2 Compare with F = mg so g = GM/r 2 g depends inversely.
Chapter 13 Gravitation. Newton’s law of gravitation Any two (or more) massive bodies attract each other Gravitational force (Newton's law of gravitation)
Monday, Oct. 4, 2004PHYS , Fall 2004 Dr. Jaehoon Yu 1 1.Newton’s Law of Universal Gravitation 2.Kepler’s Laws 3.Motion in Accelerated Frames PHYS.
Gravitation. Gravitational Force and Field Newton proposed that a force of attraction exists between any two masses. This force law applies to point masses.
AP Physics C I.F Oscillations and Gravitation. Kepler’s Three Laws for Planetary Motion.
Chapter 12 Universal Law of Gravity
Monday, Oct. 6, 2003PHYS , Fall 2003 Dr. Jaehoon Yu 1 PHYS 1443 – Section 003 Lecture #11 Newton’s Law of Gravitation Kepler’s Laws Work Done by.
Gravitational Field Historical facts Geocentric Theory Heliocentric Theory – Nicholas Copernicus (1473 – 1543) Nicholas Copernicus – All planets, including.
Newton’s Law of Universal Gravitation
Physics.
Chapter 7 Rotational Motion and The Law of Gravity.
17-1 Physics I Class 17 Newton’s Theory of Gravitation.
Gravitation. Gravitational Force the mutual force of attraction between particles of matter Newton’s Law of Universal Gravitation F g =G(m 1* m 2 /r 2.
Chapter 6 - Gravitation Newton’s Law of Gravitation (1687)
Chapter 13 Gravitation Newton’s Law of Gravitation Here m 1 and m 2 are the masses of the particles, r is the distance between them, and G is the.
Chapter 13 Gravitation.
Board Work 1.A satellite revolves around its planet in a perfectly circular orbit at a constant speed. a.At each of the four positions, draw a vector representing.
Daily Science Pg.30 Write a formula for finding eccentricity. Assign each measurement a variable letter. If two focus points are 450 km away from one another.
Spring 2002 Lecture #21 Dr. Jaehoon Yu 1.Kepler’s Laws 2.The Law of Gravity & The Motion of Planets 3.The Gravitational Field 4.Gravitational.
Gravitation. Flat Earth This is true for a flat earth assumption. Is the earth flat? What evidence is there that it is not? Up to now we have parameterized.
PHYS 2010 Nathalie Hoffmann University of Utah
Stable Orbits Kepler’s Laws Newton’s Gravity. I. Stable Orbits A. A satellite with no horizontal velocity will __________________. B. A satellite with.
Gravitation Reading: pp Newton’s Law of Universal Gravitation “Every material particle in the Universe attracts every other material particle.
Physics 1501: Lecture 16, Pg 1 Physics 1501: Lecture 16 Today’s Agenda l Announcements çHW#6: Due Friday October 14 çIncludes 3 problems from Chap.8 l.
What is gravity? GalileoGalileo and Newton gave the name Newton GalileoNewton gravity to the force that exists between the Earth and objects. Newton showed.
Satellite Motion Satellite – a projectile moving fast enough to fall continually around the Earth rather than into it - the Earth surface drops a vertical.
Physics 141Mechanics Lecture 18 Kepler's Laws of Planetary Motion Yongli Gao The motion of stars and planets has drawn people's imagination since the.
Chapter 13 Gravitation In this chapter we will explore the following topics: -Newton’s law of gravitation that describes the attractive force between two.
Newton’s Law of Universal Gravitation by Daniel Silver AP Physics C
College Physics, 7th Edition
Kepler’s Laws of Motion
Newton’s Law of Universal Gravitation
Newton’s Laws of Motion
What is gravity? Galileo and Newton gave the name
Kepler’s Laws.
Universal Gravitation
Chapter 13 Gravitation In this chapter we will explore the following topics: -Newton’s law of gravitation that describes the attractive.
Chapter 13 Gravitation In this chapter we will explore the following topics: -Newton’s law of gravitation, which describes the attractive force between.
Gravitational Fields, Circular Orbits and Kepler
Universal Gravitation
Gravitation See video on extreme sports --- defying gravity
Gravitation.
Newton’s Law of Universal Gravitation
Gravitational Fields, Circular Orbits and Kepler’s Laws
Kepler’s Laws.
Kepler’s Laws and Universal Gravitation
Newton’s Law of Universal Gravitation
Presentation transcript:

THE LAW OF GRAVITY UNIVERSE

Newton's Law of Universal Gravitation Every particle in nature attract other particles with a large force is directly proportional to the product of the two particles and inversely proportional to the square of the distance between the two masses gravitational constant How does the gravitational force by the ball-shaped mass? The force of gravity on the mass m on the surface of the earth : massa bumi Jari-jari bumi

Heavy Objects and Gravitational Force Heavy objects on the earth's surface How heavy objects at a height h from the surface of the earth? Jarak benda ke pusat bumi The farther from the earth's surface, the smaller the acceleration of gravity

Kepler's laws Is it true the earth around the sun? Why are the planets around the sun? How to track the orbit of the planets? 1. All the planets circulating in a path elip with the sun as focus. 2. Vector position of each planet to the sun in the same time interval the same swept area. 3. Square of each planet's orbital period is proportional to the cube of the major axis trajectory. Does Newton's Law of Gravitation in accordance with this statement Suppose the orbit of the planet to the sun is a circle : KMKM F1F1 F1F1 a bc

MPMP v r M Kepler's Second Law and the Conservation of Angular Momentum F Moment of force : Always go to orbit center ? r M drdr dAdA The area exposed to r in time interval dt r  drdr = konstan In the same time interval r position sweep the same area h

Gravity Field and Gravity Potential Gravity field : The force experienced by the test mass m in the gravitational field g Medan Gravitasi bumi : O P Q r1r1 r2r2 F drdr Effort only depends on the initial position danUs end Selalu menuju ke O Gaya terpusat RBRB r1r1 r2r2 m F F Energi potensial massa m pada posisi r

Energy Planet and Satellite Motion M m v r Law,s Newton II : What is the minimum speed of the object to escape Earth's gravity? M m vivi r mak h