Newton’s Law of Universal Gravitation

Slides:

Advertisements

Similar presentations

Chapter 13 Gravitation PhysicsI 2048.

Advertisements

Newton’s Law of Universal Gravitation

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.

Bellringer 11/12 A worker does 25 J of work lifting a bucket, then sets the bucket back down in the same place. What is the total net work done on the.

Chapter 7 Rotational Motion and The Law of Gravity.

D. Roberts PHYS 121 University of Maryland Physic² 121: Phundament°ls of Phy²ics I November 6, 2006.

Physics 151: Lecture 28 Today’s Agenda

Department of Physics and Applied Physics , F2010, Lecture 10 Physics I LECTURE 10 10/12/10.

Physics 218 Lecture 21 Dr. David Toback Physics 218, Lecture XXI.

Newton’s Law of Universal Gravitation By: Heather Britton.

Physics 111: Mechanics Lecture 13 Dale Gary NJIT Physics Department.

Department of Physics and Applied Physics , F2010, Lecture 10 Physics I LECTURE 10 3/3/10.

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

Physics 111: Mechanics Lecture 13

Circular Motion; Gravitation

Chapter 8 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.

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

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.

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

One of the most significant intellectual achievements in the history of thought.

Kepler’s Laws 1. The orbits of the planets are ellipses, with the sun at one focus of the ellipse. 2. The line joining the planet to the sun sweeps out.

Newton’s Law of Universal Gravitation

Newton’s Universal Law of Gravitation

Universal Gravitation. Paths of Satellites around Earth

Monday, February 17th Copy equations from notes onto your own paper. Also, copy any other information you think you might need as you go through this power.

Proportionality between the velocity V and radius r

SUMMARY Kepler’s 3 laws (pages 3-4-5) Illustration of Kepler’s laws (page 6) Newton’s law of universal gravitation (pages 7-8)Newton’s law of universal.

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)

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.

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.

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.

Honors Physics Chapter 7

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

Gravitation Reading: pp Newton’s Law of Universal Gravitation “Every material particle in the Universe attracts every other material particle.

Kepler’s Laws & Planetary Motion

What is gravity? GalileoGalileo and Newton gave the name Newton GalileoNewton gravity to the force that exists between the Earth and objects. Newton showed.

Section Orbital Motion of Satellites and Kepler’s Laws

IB Physics 12 Mr. Jean September 23 rd, The plan: Video clip of the day – 0xshttps://

KEPLER’S LAWS OF PLANETARY MOTION Objective: I will summarize Kepler’s three laws of planetary motion. 11/10/15.

Universal Gravitation Ptolemy (150AD) theorized that since all objects fall towards Earth, the Earth must be the center of the universe. This is known.

The Newtonian Synthesis Nicolaus Copernicus 1473 – 1543 Frame of Reference Tycho Brahe Accurate Data Johannes Kepler Emperical Laws.

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

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.

The story of the apple When Newton observed the apple fall, he wondered if the force that caused the apple to fall to the ground was the same force that.

Newton’s Universal Law of Gravitation

Kepler’s Laws of Orbital Motion

Newton’s Law of Universal Gravitation

Newton’s Laws of Motion

What is gravity? Galileo and Newton gave the name

Newton’s Law of Universal Gravitation

Kepler’s Laws.

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

Kepler’s Laws Ms. Jeffrey- Physics.

Mechanics Gravitations MARLON FLORES SACEDON.

Gravitation See video on extreme sports --- defying gravity

The story of the apple When Newton observed the apple fall, he wondered if the force that caused the apple to fall to the ground was the same force that.

Newton’s Law of Universal Gravitation

Kepler’s Laws.

Kepler’s Laws and Universal Gravitation

Newton’s Law of Universal Gravitation

Presentation transcript:

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 to the product of the gravitational masses of the objects, and inversely proportional to the square of the distance between them.

G=6.67X10-11 N m2/kg2

BASIC PROBLEM Find the gravitational force between a baseball (m=0.3kg) and a billiard ball (m=0.4kg) if the distance between their centers is 0.3m.

What is the electrical force between these two electrons? The gravitational force between two electrons 1.00m apart is 5.42X10-71N. Calculate the mass of an electron. What is the electrical force between these two electrons?

a. Find the approximate mass of the galaxy. A STELLAR PROBLEM We can consider the sun to be a satellite of our galaxy, the Milky Way. The sun, mass 2.0X1030kg, revolves around the center of the galaxy with a radius of 2.2X1020 m. The period of one rotation is 8.2X1016. a. Find the approximate mass of the galaxy. Assume the average star in the galaxy has the mass of the sun, find the number of stars in the galaxy.

Acceleration due to gravity Find the acceleration due to gravity on Earth’s surface. Find the acceleration due to gravity on the surface of the asteroid in Armageddon. r = 2.35x105 m, m = 4.28x1020 kg.

International Space Station The International Space Station has an orbital height of 370 km, what is its speed as orbits the earth? Earth mass – 5.97x1024kg Earth radius – 6.38x106m In minutes, how long does it take the ISS to rotate once around the Earth?

Kepler’s laws

Kepler’s laws

Kepler’s 1st law The paths of the planets around the sun are ellipses with the sun at one focus point

Kepler’s 2nd law An imaginary line drawn from a planet to the sun sweeps out equal areas in equal amounts of time as the planet travels along its elliptical path.

Kepler’s 2nd law An imaginary line drawn from a planet to the sun sweeps out equal areas in equal amounts of time as the planet travels along its elliptical path. A1 A2

Kepler’s 2nd law If A1 = A2, then t1 = t2 t1 A1 A2 t2

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 the planets average distances from the sun.

Problem- A Geosynchronous satellite What is the orbital radius of a geosynchronous satellite? (______________________) How far up from the surface of the earth is this satellite?

Satellite problem Uranus requires 84 years to circle the sun. Find the distance from the sun to Uranus.

Kepler’s Third Law Problems Comet Halley returns every 74 years. Find the average distance from Halley to the sun. 2. Find the orbital radius of a Geosynchronous satellite. How far from the surface of the earth is the satellite located? 3. Mars has a period around the sun of 686 days. What is its average distance from the sun? 4. An asteroid revolves around the sun with an average orbital radius twice that of Earth’s. Predict the period of the asteroid in Earth years. 5. What is the period of a satellite that orbits the Earth at 6.7X106 m measured from the Earth’s center?