Newton’s Law of Universal Gravitation

Slides:

Advertisements

Similar presentations

Newton’s Law of Universal Gravitation

Advertisements

Newton’s Law of Universal Gravitation.  Any two objects exert a gravitational force of attraction on each other. The magnitude of the force is proportional.

Kepler’s Laws. 2.5 The Laws of Planetary Motion Law 2. Imaginary line connecting Sun and planet sweeps out equal areas in equal times.

Chapter 7: Circular Motion and Gravitation

Chapter-5: Circular Motion, the Planets, and Gravity Circular Motion: Centripetal acceleration Centripetal force Newton’s law of universal gravitation.

Universal Gravitation. ISAAC NEWTON (1642 – 1727) The rate of acceleration due to gravity at the Earth’s surface was proportional to the Earth’s gravitational.

Section 7–3: Motion in Space

Ch. 8 Universal Gravitation

Universal Gravitation

Chapter 7 Law of Gravity & Kepler’s Laws

GRAVITATION 10th Grade – Physics 10th - Physics.

Newton’s Law of Universal Gravitation

Newton ’ s Law of Universal Gravitation Dan Li SUNY-Stony Brook 12/09/2002.

CH-5: Circular Motion,Planets, and Gravity

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.

Planets move through the sky with More complicated paths than Stars do. We begin with Kepler’s Laws in Order to find out how.

Newton’s Law of Universal Gravitation

Chapter Planetary Motion & Gravitation Nicholas Copernicus (Polish) Pulished Earth-centered model in 1543 Tycho Brahe (Danish) Vowed to be an astronomer.

In 1543 Copernicus published On the Revolutions of the Heavenly Spheres in which he proposed that Earth and the other planets orbit the sun in perfect.

In this chapter you will:  Learn the nature of gravitational force.  Relate Kepler’s laws of planetary motion to Newton's laws of motion.  Describe.

Universal Gravitation Physics Mr. Padilla. Falling Apple hits Newton on the head. According to the law of inertia, it would not fall unless acted upon.

A Brief History of Classical Physics (Natural Philosophy)

FAMOUS ASTRONOMERS  The name "planet" comes from the Greek term π λανήτης (plan ē t ē s), meaning "wanderer".  Came up with geocentric (earth center)

Gravitation. Gravitational Force and Field Newton proposed that a force of attraction exists between any two masses. This force law applies to point masses.

5-6 Newton’s Law of Universal Gravitation Therefore, the gravitational force must be proportional to both masses. By observing planetary orbits, Newton.

Newton’s Universal Law of Gravitation

Universal Gravitation. Paths of Satellites around Earth

17-1 Physics I Class 17 Newton’s Theory of Gravitation.

Gravity and Orbits   Newton’s Law of Gravitation   The attractive force of gravity between two particles   G = 6.67 x Nm 2 /kg 2 Why is this.

Newton’s Universal Law of Gravitation Chapter 8. Gravity What is it? The force of attraction between any two masses in the universe. It decreases with.

Kepler’s Laws of planetary motion Newton’s law of universal gravitation Free fall acceleration on surface of a planet Satellite motion Lecture 13: Universal.

Gravitation Chapter 7. Planetary Motion & Gravitation 7.1.

Stable Orbits Kepler’s Laws Newton’s Gravity. I. Stable Orbits A. A satellite with no horizontal velocity will __________________. B. A satellite with.

Circular Motion: Gravitation Chapter Kinematics of Uniform Circular Motion  Uniform circular motion is when an object moves in a circle at constant.

Gravitation. Chronology Nicolaus Copernicus (1543): First to propose a system of planetary orbits. He argued that planets were in circular orbit around.

4.2 Gravity and Kepler’s Solar System p Falling Objects The Moon in Free Fall Newton understood that the Moon was in free-fall around the Earth.

Universal Gravitation Newton’s 4 th law. Universal Gravitation Kepler’s Laws Newton’s Law of Universal Gravity Applying Newton’s Law of Universal Gravity.

Chapter 9: Gravity & Planetary Motion

Simple Harmonic Motion Universal Gravitation 1. Simple Harmonic Motion Vibration about an equilibrium position with a restoring force that is proportional.

Satellite Motion Satellite – a projectile moving fast enough to fall continually around the Earth rather than into it - the Earth surface drops a vertical.

Satellite Physics & Planetary Motion Illustration from Isaac Newton, Philosophiae Naturalis Principia Mathematica, Book III Isaac Newton was the first.

Chapter 7 Gravitation. Newton’s Law of Universal Gravitation If two particles with masses m 1 and m 2 are separated by a distance r, then a gravitational.

Physics Section 7.3 Apply Kepler’s Laws of Planetary Motion The Polish astronomer Nicolas Copernicus was the first to correctly place the sun at the center.

Gravitation Chapter 7. Kepler’s Laws  In the 1600s Johannes Kepler proposed three laws of planetary motion based on observational data. The laws are:

Kepler’s Laws What are the shapes and important properties of the planetary orbits? How does the speed of a planet vary as it orbits the sun? How does.

Newton’s Universal Law of Gravitation

Universal Gravitation

Mass training of trainers General Physics 1

Newton’s Universal Law of Gravitation

Kepler’s Laws of Motion

3.2 Gravity and Kepler’s Solar System

Universal Law of Gravitation

Newton’s Laws of Motion

What is gravity? Galileo and Newton gave the name

Circular Motion.

Kepler’s Laws.

Chapter-5: Circular Motion, the Planets, and Gravity

Newton’s Universal Law of Gravitation

7.3 Kepler’s Laws.

Universal Gravitation

Gravitational Fields, Circular Orbits and Kepler

Kepler’s Laws Ms. Jeffrey- Physics.

Mechanics Gravitations MARLON FLORES SACEDON.

Gravitation See video on extreme sports --- defying gravity

Newton’s Law of Universal Gravitation

Gravitational Fields, Circular Orbits and Kepler’s Laws

THE EARTH, THE MOON & THE SUN

Kepler’s Laws.

Kepler’s Laws and Universal Gravitation

Presentation transcript:

Newton’s Law of Universal Gravitation

Who Found It?

Universal Law of Gravitation

Universal Law of Gravitation

Universal Law of Gravitation

Universal Law of Gravitation

Universal Law of Gravitation

Universal Law of Gravitation

Universal Law of Gravitation

Universal Law of Gravitation

Cavendish

The Statement of the Law Magnitude: Every particle in the universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. Direction: This force acts along the line joining the two particles.

Gravity Near the Earth’s Surface

Moon: Special Satellite

Earth: the Satellite of the sun

Kepler’s Laws Johannes Kepler discovered 3 laws from the motion of the planets as mapped by Tycho Brahe Planetary orbits are elliptical not circular Orbits sweep out equal areas in equal times T2 /r3 = k where k = “constant”

The orbits of the planets are ellipses, with the sun at one focus. (Law of Ellipses) The closer the planets are to one another, the more circular the orbit.

Kepler’s 2nd Law An imaginary line drawn from the center of the sun to the center of the planet will sweep out equal areas in equal intervals of time. (Law of Equal Areas) Deals with speed… faster when closer to the sun.

Kepler’s 2nd Law

Kepler’s 3rd Law The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. (Law of Harmonies) (TA /TB)2= (rA /rB)3

Satellite Motion If a projectile moves fast enough, it falls at the same rate that the Earth curves

Satellites What keeps a satellite up? Its high speed How they move?

How fast are satellites moving?

Weightlessness What is gravity in outer space? Where space shuttle orbits…g = 8.7m/s How come astronauts are “floating” then? g = F/m