Physics 30. Unit 3 Circular Motion Lesson 3.4 Outline Astronomical Applications Newton's Law of Universal Gravitation Examples


 Mariah Beryl Hutchinson
 5 months ago
 Views:
Transcription
1 Physics 30 Unit 3 Circular Motion Lesson 3.4 Outline Astronomical Applications Newton's Law of Universal Gravitation Examples You will be able to: solve problems involving gravitational force between objects explain how centripetal force and gravitational force are related Isaac Newton's three laws of motion revolutionized the study of modern physics when they were first published. However, he discovered another law that governs the motion of celestial bodies and provides an excellent approximation to calculate the force on objects due to gravity. This law is now known as Newton's Law of Universal Gravitation and became crucial to understanding the motion of the planets. Today, Einstein's theory of relativity is now generally used to calculate the force of gravity as it is more accurate but Newton's Law still provides an excellent approximation of the force of gravity between two bodies. The math involved in Einstein's theory is also more complicated than the math in Newton's Law.
2 Newton's Law of Universal Gravitation Newton stated that every mass attracts every other mass with a force that acts along the straight line distance between the centers of the objects. These forces are equal and opposite in direction. This force depends on the masses of the objects and the distance between them. In other words, anything that has mass will gravitationally attract anything else that has mass with a force. This happens between all objects that have mass and all other objects that have mass. So if you are sitting at a computer, you are gravitationally attracted to the screen and the keyboard and the mouse and they are all gravitationally attracted to you and each other and everything else around you. So why don't we collide with other things? Remember that the net force is what causes objects to move. So if you are only considering the force between two small objects, you can find the gravitational force. But normally the force of friction (which always opposes motion from starting or continuing) is bigger than the gravitational force so no motion can happen as a result of it. When the masses are small compared the to Gravitation constant, the force generated due to gravity is extremely small. This is why you and I wouldn't collide when we are sitting in the same room.
3 Major Implications Since Newton's equation accurately predicted the motion of most known celestial bodies at that time, it was accepted in the realm of science. However, this implied that gravity was an "instantaneous, action at a distance force" that did not have a direct cause. Up to this point the forces we have discussed require some contact or substance to transmit the force, so this was an absurd prediction (especially for the time period). Absurd, but yet it accurately predicted observable events. Newton was very uncomfortable with this and refused to speculate on what could be causing this action at a distance force as he thought it a serious problem with his theory. Later, Einstein was able to resolve this "action at a distance" problem with the theory of general relativity. Newton's Law of Universal Gravitation F g = Force of Gravity between the masses G = Gravitational Constant m 1 = mass of object 1 m 2 = mass of object 2 r = distance between the centers of the objects F g = Gm 1m 2 r 2 Nm2 G = x kg 2 An extremely common mistake is to forget to square the r in the bottom term.
4 The value of the gravitational constant was not determined by Newton. He knew that the forces between objects were related and so could only compare the gravitational attractive force between multiple objects. G = x Nm2 kg 2 The value of the gravitational constant was determined during the Cavendish experiment. This experiment was carried out 71 years after Newton's death and 111 years after the publication of the Law of Universal Gravitation. What does this look like? F g F g r m 1 For two different masses of m 1 and m 2. Note that the F g is equal in magnitude, but opposite in direction. Remember that r is measured from the centers of the masses. m 2
5 A coffee cup with a mass of 0.75 kg gravitationally attracts a textbook with a mass of 2.0 kg. If the distance between the centers of these objects is 2.0 m, what is the force of gravity between the two objects? Determine the force of gravitational attraction between the earth (m = 5.98 x kg) and a 70.0 kg physics student if the student is standing at sea level, a distance of 6.38 x 10 6 m from earth's center. Compare this with the weight of the student.
6 Connection to Circular Motion When high mass objects (like planets) are travelling in circular paths and friction is negligible (like in space), the centripetal force causing the circular path results from the force of gravity between the two objects. This situation accurately describe the motion of planets in the solar system, as the masses of planets and stars are extremely large and there are very few particles in space so friction is not an issue. We will use this to study orbits in the next lesson. A 5400 kg satellite is rotating around the earth at 3050 m/s. If it is 6.38 x 10 6 m to the center of the earth and the satellite is orbiting at km. Determine the approximate mass of the earth.
ConcepTest 12.1a Earth and Moon I
ConcepTest 12.1a Earth and Moon I Which is stronger, Earth s pull on the Moon, or the Moon s pull on Earth? 1) the Earth pulls harder on the Moon 2) the Moon pulls harder on the Earth 3) they pull on each
More informationNewton s Law of Universal Gravitation
Newton s Law of Universal Gravitation Gravitational Field Strength Uniform Circular Motion Centripetal Force and Acceleration Vertical Circular Motion Horizontal Circular Motion Kepler s Laws Planetary
More informationForces. Isaac Newton was the first to discover that the laws that govern motions on the Earth also applied to celestial bodies.
Forces Now we will discuss the part of mechanics known as dynamics. We will introduce Newton s three laws of motion which are at the heart of classical mechanics. We must note that Newton s laws describe
More informationGravity: The Law of Attraction
Gravity: The Law of Attraction 2009, Copyright@2008 Lecture 1, Oct. 1 2009 Oct. 1, 2009 #1 Questions of the day: How are Force, acceleration, and mass related? Why is gravity the most important force for
More informationcircular motion & gravitation physics 111N
circular motion & gravitation physics 111N uniform circular motion an object moving around a circle at a constant rate must have an acceleration always perpendicular to the velocity (else the speed would
More informationG = N m 2 /kg 2
PH2213 : Examples from Chapter 6 : Gravitation Key Concepts Two pointmass objects of masses m 1 and m 2 separated by a distance of r will attract each other with a gravitational force of magnitude F =
More informationThe Force of Gravity exists between any two masses! Always attractive do you feel the attraction? Slide 635
The Force of Gravity exists between any two masses! Always attractive do you feel the attraction? Slide 635 Summary Newton s law of gravity describes the gravitational force between A. the earth and the
More informationGRAVITATIONAL FORCE. How did Newton deduced the gravitation force law?
GRAVITATIONAL FORCE Gravitation determines star formation, planetary systems, galaxies, and the universe as a whole was the first of the four fundamental forces to be described quantitatively. Its effects
More informationCircular Motion and Gravitation
Nicholas J. Giordano www.cengage.com/physics/giordano Circular Motion and Gravitation Introduction Circular motion Acceleration is not constant Cannot be reduced to a onedimensional problem Examples Car
More informationName Class Period. F = G m 1 m 2 d 2. G =6.67 x 1011 Nm 2 /kg 2
Gravitational Forces 13.1 Newton s Law of Universal Gravity Newton discovered that gravity is universal. Everything pulls on everything else in the universe in a way that involves only mass and distance.
More informationNewton s Law of Universal Gravitation
Newton s Law of Universal Gravitation The greatest moments in science are when two phenomena that were considered completely separate suddenly are seen as just two different versions of the same thing.
More informationChapter 6 Gravitation and Newton s Synthesis. Copyright 2009 Pearson Education, Inc.
Chapter 6 Gravitation and Newton s Synthesis Units of Chapter 6 Newton s Law of Universal Gravitation Vector Form of Newton s Law of Universal Gravitation Gravity Near the Earth s Surface; Geophysical
More informationSPACE THE EARTH S GRAVITATIONAL FIELD
SPACE CONTEXTUAL OUTLINE (As written in the HSC Physics Syllabus Board of Studies, NSW.) Scientists have drawn on advances in areas such as aeronautics, material science, robotics, electronics, medicine
More information7.2 Calculate force of gravity at a given distance given the force of gravity at another distance (making use of the inverse square relationship).
Chapter 7 Circular Motion and Gravitation 7.1 Calculate force of gravity using Newton s Law of Universal Gravitation. 5. What is the gravitational force between the Earth and the Sun? (Mass of Earth: 5.98
More informationInertia. Inertia. A body continues in a state of rest or uniform motion in a straight line unless made to change that state by forces acting on it
Isaac Newton formulated three laws to describe the fundamental properties of physical reality. NEWTON S THREE LAWS OF MOTION LAW #1: A body remains at rest or moves in a straight line at constant speed
More information356 CHAPTER 12 Bob Daemmrich
Standard 7.3.17: Investigate that an unbalanced force, acting on an object, changes its speed or path of motion or both, and know that if the force always acts toward the same center as the object moves,
More informationStudy Questions/Problems Week 9
Study Questions/Problems Week 9 Chapter 12. The concept of Universal gravitation was formulated by Newton in the latter half of the 17 th century. It is still THE theory of gravity for describing the motion
More informationChapter 3: Force and Motion
Force and Motion Cause and Effect Chapter 3 Chapter 3: Force and Motion Homework: All questions on the Multiple Choice and the oddnumbered questions on Exercises sections at the end of the chapter. In
More informationLet s say you were able to build a tunnel through the center of the Earth to the opposite side. If you were to jump in, you would accelerate toward
Let s say you were able to build a tunnel through the center of the Earth to the opposite side. If you were to jump in, you would accelerate toward the center. However your acceleration decrease as your
More informationb. Velocity tells you both speed and direction of an object s movement. Velocity is the change in position divided by the change in time.
I. What is Motion? a. Motion  is when an object changes place or position. To properly describe motion, you need to use the following: 1. Start and end position? 2. Movement relative to what? 3. How far
More informationChapter 13 Newton s Theory of Gravity
Chapter 13 Newton s Theory of Gravity Chapter Goal: To use Newton s theory of gravity to understand the motion of satellites and planets. Slide 132 Chapter 13 Preview Slide 133 Chapter 13 Preview Slide
More informationHomework 4. problems: 5.61, 5.67, 6.63, 13.21
Homework 4 problems: 5.6, 5.67, 6.6,. Problem 5.6 An object of mass M is held in place by an applied force F. and a pulley system as shown in the figure. he pulleys are massless and frictionless. Find
More informationQuest Chapter 13. Where is the event happening? What does the no atmosphere phrase mean in the problem? What is the ball doing during the event?
1 (part 1 of 2) A ball is tossed straight up from the surface of a small, spherical asteroid with no atmosphere. The ball rises to a height equal to the asteroid s radius and then falls straight down toward
More informationHistory of Gravity. Name: Date: Period:
History of Gravity Name: Date: Period: I. ANCIENT ASTRONOMY Imagine what it was like for the first humans to look up at the night sky. This is well before the invention of modern technology. There were
More informationTHE NATURE OF FORCES Forces can be divided into two categories: contact forces and noncontact forces.
SESSION 2: NEWTON S LAWS Key Concepts In this session we Examine different types of forces Review and apply Newton's Laws of motion Use Newton's Law of Universal Gravitation to solve problems Xplanation
More information12/3/10. Copyright 2008 Pearson Education, Inc., publishing as Pearson AddisonWesley.
The beautiful rings of Saturn consist of countless centimetersized ice crystals, all orbiting the planet under the influence of gravity. Chapter Goal: To use Newton s theory of gravity to understand the
More informationChapter 6 Circular Motion, Orbits and Gravity
Chapter 6 Circular Motion, Orbits and Gravity Topics: The kinematics of uniform circular motion The dynamics of uniform circular motion Circular orbits of satellites Newton s law of gravity Sample question:
More information4.1 Describing Motion. How do we describe motion? Chapter 4 Making Sense of the Universe: Understanding Motion, Energy, and Gravity
Chapter 4 Making Sense of the Universe: Understanding Motion, Energy, and Gravity 4.1 Describing Motion Our goals for learning:! How do we describe motion?! How is mass different from weight? How do we
More informationIs velocity constant? A = πr 2
Physics R Date: Circular Motion & Gravity Uniform Circular Motion What does uniform mean? Equations: (on reference table) Uniform circular motion means circular motion with C = 2πr = Is velocity constant?
More informationAnswer, Key Homework 9 David McIntyre May 10,
Answer, Key Homework 9 David McIntyre 4513 May 10, 004 1 This printout should have 16 questions. Multiplechoice questions may continue on the next column or page find all choices before making your selection.
More informationCollege Physics 140 Chapter 4: Force and Newton s Laws of Motion
College Physics 140 Chapter 4: Force and Newton s Laws of Motion We will be investigating what makes you move (forces) and how that accelerates objects. Chapter 4: Forces and Newton s Laws of Motion Forces
More informationGravity. Newton s Law of Gravitation Kepler s Laws of Planetary Motion Gravitational Fields
Gravity Newton s Law of Gravitation Kepler s Laws of Planetary Motion Gravitational Fields Newton s Law of Gravitation r m 2 m 1 There is a force of gravity between any pair of objects anywhere. The force
More informationConcept Review. Physics 1
Concept Review Physics 1 Speed and Velocity Speed is a measure of how much distance is covered divided by the time it takes. Sometimes it is referred to as the rate of motion. Common units for speed or
More informationMaking Sense of the Universe: Understanding Motion, Energy, and Gravity
Making Sense of the Universe: Understanding Motion, Energy, and Gravity 1. Newton s Laws 2. Conservation Laws Energy Angular momentum 3. Gravity Review from last time Ancient Greeks: Ptolemy; the geocentric
More informationThe Cosmic Perspective Seventh Edition. Making Sense of the Universe: Understanding Motion, Energy, and Gravity. Chapter 4 Lecture
Chapter 4 Lecture The Cosmic Perspective Seventh Edition Making Sense of the Universe: Understanding Motion, Energy, and Gravity Making Sense of the Universe: Understanding Motion, Energy, and Gravity
More information13 Universal Gravitation. Everything pulls on everything else.
Everything pulls on everything else. Gravity was not discovered by Isaac Newton. What Newton discovered, prompted by a falling apple, was that gravity is a universal force that it is not unique to Earth,
More informationGravity & Circular Motion
Physics Name: KEY Date: Period: Gravity & Circular Motion (Unit Review) Gravity Circular Motion Centripetal force Periodic motion Rotation Revolution Axis of rotation Axis of revolution Tangential (linear)
More informationFrom Essential University Physics 3 rd Edition by Richard Wolfson, Middlebury College 2016 by Pearson Education, Inc.
PreClass Notes: Chapter 8 From Essential University Physics 3 rd Edition by Richard Wolfson, Middlebury College 2016 by Pearson Education, Inc. Narration and extra little notes by Jason Harlow, University
More informationChapter 13  Gravity. David J. Starling Penn State Hazleton Fall Chapter 13  Gravity. Objectives (Ch 13) Newton s Law of Gravitation
The moon is essentially gray, no color. It looks like plaster of Paris, like dirty beach sand with lots of footprints in it. James A. Lovell (from the Apollo 13 mission) David J. Starling Penn State Hazleton
More informationGravity, Orbital Motion,& Relativity
Gravity, Orbital Motion,& Relativity Early Astronomy Early Times As far as we know, humans have always been interested in the motions of objects in the sky. Not only did early humans navigate by means
More informationChapter 3: Force and Motion
Chapter 3 Chapter 3: Force and Motion Homework: All questions on the Multiple Choice and the oddnumbered questions on Exercises sections at the end of the chapter. Force and Motion Cause and Effect In
More information"Everything should be made as simple as possible, but not simpler."  Albert Einstein
Physics Schedule Chapter Five Centripetal Motion & Gravity October 20 th November 3 rd, 2015 Date Activity/Topic Assignment due next day Tuesday, Universal Law of Gravity Worksheet 1 October 20 Block,
More informationPHY1 Review for Exam 5
Topics 1. Uniform circular Motion a. Centripetal acceleration b. Centripetal force c. Horizontal motion d. ertical motion e. Circular motion with an angle 2. Universal gravitation a. Gravitational force
More informationReview Circular Motion, Gravitation, and Kepler s Laws. Answers will be on that page along with a link to a pdf showing how the problem was solved.
CP Physics Review Circular Motion, Gravitation, and Kepler s Laws Name Date Answers will be posted on Ms. Mac s website. To find the answers go to: West Orange High School Home Page Select Teachers from
More informationA2 Physics Unit 4 4 Gravitational Fields. Mr D Powell
A2 Physics Unit 4 4 Gravitational Fields Mr D Powell Chapter Map http://hyperphysics.phyastr.gsu.edu/hbase/grav.html Starter activity... HSW Image you are sat under a tree and your name was Issac Newton.
More information~ SCIENCE SAMPLER ~ Unit 2 of 5
College Guild PO Box 6448, Brunswick ME 04011 ~ SCIENCE SAMPLER ~ Unit 2 of 5 1 Physics *********************************************************************************************************************************************
More informationTurn in both the exam and the scantron sheets at the end of the exam.
Physics 161 NAME ANSWERS Final Exam Section # Dr. Dennis Drew May 17, 2004 Turn in both the exam and the scantron sheets at the end of the exam. Part I : 3 Partial credit questions each worth 11 pts. Show
More informationNewton s Law of Gravity
Gravitational Potential Energy On Earth, depends on: object s mass (m) strength of gravity (g) distance object could potentially fall Gravitational Potential Energy In space, an object or gas cloud has
More informationQ: Who established the law of universal gravitation? A: Newton. Q: What is a spring scale used for? A: To measure weight
Q: Who established the law of universal gravitation? A: Newton Q: What is a spring scale used for? A: To measure weight Q: What is the Law of Universal Gravitation? A: Everything in the universe has gravity.
More informationLesson 29: Newton's Law of Universal Gravitation
Lesson 29: Newton's Law of Universal Gravitation Let's say we start with the classic apple on the head version of Newton's work. Newton started with the idea that since the Earth is pulling on the apple,
More informationAP1 Gravity. at an altitude equal to twice the radius (R) of the planet. What is the satellite s speed assuming a perfectly circular orbit?
1. A satellite of mass m S orbits a planet of mass m P at an altitude equal to twice the radius (R) of the planet. What is the satellite s speed assuming a perfectly circular orbit? (A) v = Gm P R (C)
More informationCenter of Mass/Momentum
Center of Mass/Momentum 1. 2. An Lshaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the Lshaped
More informationChapter 13: Universal Gravitation
Chapter 13: Universal Gravitation I. The Falling Apple (13.1) A. Isaac Newton (16421727) 1. Formulated ideas based on earlier work by Galileo (concept of inertia) 2. Concept if object undergoes change
More informationChapter 5 Gravitation Chapter 6 Work and Energy
Chapter 5 Gravitation Chapter 6 Work and Energy Chapter 5 (5.6) Newton s Law of Universal Gravitation (5.7) Gravity Near the Earth s Surface Chapter 6 (today) Work Done by a Constant Force Kinetic Energy,
More informationName Date Class. Directions: On the line before each statement, write T if the statement is true or F if the statement is false.
Lesson Quiz A LESSON 2 Newton s First Law True or False Directions: On the line before each statement, write T if the statement is true or F if the statement is false. 1. To find net force, you must specify
More informationForces, Momentum, & Gravity. Force and Motion Cause and Effect. Student Learning Objectives 2/16/2016
Forces, Momentum, & Gravity (Chapter 3) Force and Motion Cause and Effect In chapter 2 we studied motion but not its cause. In this chapter we will look at both force and motion the cause and effect. We
More information6. CIRCULAR MOTION; GRAVITATION.
6. CIRCULAR MOTION; GRAVITATION. Key words: Uniform Circular Motion, Period of rotation, Frequency, Centripetal Acceleration, Centripetal Force, Kepler s Laws of Planetary Motion, Gravitation, Newton s
More informationNewton s Universal Law of Gravitation The Apple and the Moon Video
Name Date Pd Newton s Universal Law of Gravitation The Apple and the Moon Video Objectives Recognize that a gravitational force exists between any two objects and that the force is directly proportional
More informationGravity. Gravity notes  VCE Physics.com
Gravity 2 Newton s law of gravitation The force of attraction between any two objects: depends on the mass of the two objects. (More mass = more attraction) depends on the square of the separation. (Further
More informationLesson 5 Rotational and Projectile Motion
Lesson 5 Rotational and Projectile Motion Introduction: Connecting Your Learning The previous lesson discussed momentum and energy. This lesson explores rotational and circular motion as well as the particular
More informationQuestion on Class IX» Science» Gravitation» The Universal Law Of Gravitation.
Question on Class IX» Science» Gravitation» The Universal Law Of Gravitation. Q.1. When we move from the poles to the equator. Hence, the value of g decreases. Why Ans: The shape of earth is an ellipse
More informationNewton s Laws Name: Per: Teacher: What is a force? Newton s First Law (Law of Inertial) What do forces cause?
Physics B Newton s Laws Name: Per: Teacher: What is a force? Newton s First Law (Law of Inertial) What do forces cause? What is the relationship between mass and inertia? Draw a force diagram on the book.
More informationStudent Exploration: Uniform Circular Motion
Name: Date: Student Exploration: Uniform Circular Motion Vocabulary: acceleration, centripetal acceleration, centripetal force, Newton s first law, Newton s second law, uniform circular motion, vector,
More informationApparent Weightlessness and Artificial Gravity
Apparent Weightlessness and Artificial Gravity In order to simulate weightlessness it is necessary to eliminate the effect of air resistance. To accomplish this a plane it used to fly passengers first
More informationNEWTON S LAWS OF MOTION
NEWTON S LAWS OF MOTION Background: Aristotle believed that the natural state of motion for objects on the earth was one of rest. In other words, objects needed a force to be kept in motion. Galileo studied
More informationGravitation. Gravitation
1 Gravitation Newton s observations A constant center seeking force is required to keep an object moving along a circular path. You know that the moon orbits the earth and hence there should be a force
More informationGravitation. Physics 1425 Lecture 11. Michael Fowler, UVa
Gravitation Physics 1425 Lecture 11 Michael Fowler, UVa The Inverse Square Law Newton s idea: the centripetal force keeping the Moon circling the Earth is the same gravitational force that pulls us to
More informationNewton s Law of Universal Gravitation (Ch 13) Law of Gravitation, cont. Notation. More About Forces. This is an example of an inverse square law
Newton s Law of Universal Gravitation (Ch 13) Every particle in the Universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional
More informationUse the following information to deduce that the gravitational field strength at the surface of the Earth is approximately 10 N kg 1.
IB PHYSICS: Gravitational Forces Review 1. This question is about gravitation and ocean tides. (b) State Newton s law of universal gravitation. Use the following information to deduce that the gravitational
More informationGravity. Physics 6A. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Gravity Physics 6A GRAVITY Any pair of objects, anywhere in the universe, feel a mutual attraction due to gravity. There are no exceptions if you have mass, every other mass is attracted to you, and you
More informationChapter 2 Notes Motion
Chapter 2 Notes Motion Homework: Ch2 Exersizes: 1, 3, 4, 610, 12, 13, 1518 Questions: 1, 46, 9, 13, 17, 23, 25 Problems:1, 3, 5 (need infor from question 4), 11, 16,17, 19, 24 (answered in study guide),
More informationName: Earth 110 Exploration of the Solar System Assignment 1: Celestial Motions and Forces Due in class Tuesday, Jan. 20, 2015
Name: Earth 110 Exploration of the Solar System Assignment 1: Celestial Motions and Forces Due in class Tuesday, Jan. 20, 2015 Why are celestial motions and forces important? They explain the world around
More informationLecture 5: Newton s Laws. Astronomy 111
Lecture 5: Newton s Laws Astronomy 111 Isaac Newton (16431727): English Discovered: three laws of motion, one law of universal gravitation. Newton s great book: Newton s laws are universal in scope,
More informationThe Motions of Celestial Bodies, and Newton s Laws of Motion
The Motions of Celestial Bodies, and Newton s Laws of Motion Announcements The results of Quiz 1 are posted in OWL Looking ahead: Homework 1 is ongoing, and is due on Thu, Sept. 29 th ; Homework 2 will
More informationReview Questions #1. Physics Fall 2007
Review Questions #1 Physics 102.002 Fall 2007 Which of these is an accurate statement of Newton's first law? When there is no net force, an object a. at rest remains at rest. b. in motion remains in motion.
More informationPhysics General Physics
Physics 1403001 General Physics Lecture 16 Chapter 5 & 6 Feb 4, 014 Announcements Course webpage: http://highenergy.phys.ttu.edu/~slee/1403 Syllabus, lecture note, etc Online homework: http://webassign.net/login.html
More informationChapter 89. Rotation. Rotational Motion and The Law of Gravity
Chapter 89 Rotational Motion and The Law of Gravity There are two kinds of speeds During time t, the reference line moves through angle θ. Angular velocity w is the rate of rotation. (e.g 33 rpm) The
More informationDIRECT ORBITAL DYNAMICS: USING INDEPENDENT ORBITAL TERMS TO TREAT BODIES AS ORBITING EACH OTHER DIRECTLY WHILE IN MOTION
1 DIRECT ORBITAL DYNAMICS: USING INDEPENDENT ORBITAL TERMS TO TREAT BODIES AS ORBITING EACH OTHER DIRECTLY WHILE IN MOTION Daniel S. Orton email: dsorton1@gmail.com Abstract: There are many longstanding
More informationM OTION. Chapter2 OUTLINE GOALS
Chapter2 M OTION OUTLINE Describing Motion 2.1 Speed 2.2 Vectors 2.3 Acceleration 2.4 Distance, Time, and Acceleration Acceleration of Gravity 2.5 Free Fall 2.6 Air Resistence Force and Motion 2.7 First
More informationGRAVITATIONAL FIELDS PHYSICS 20 GRAVITATIONAL FORCES. Gravitational Fields (or Acceleration Due to Gravity) Symbol: Definition: Units:
GRAVITATIONAL FIELDS Gravitational Fields (or Acceleration Due to Gravity) Symbol: Definition: Units: Formula Description This is the formula for force due to gravity or as we call it, weight. Relevant
More informationApplications of Newton s Laws
Chapter 5 Applications of Newton s Laws We shall apply Newton s laws of motion to a variety of situations in which several types of forces are involved: Gravitational force Tension Contact Forces (including
More informationChapter 6. Circular Motion, Orbits, and Gravity. PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition
Chapter 6 Circular Motion, Orbits, and Gravity PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition 6 Circular Motion, Orbits, and Gravity Slide 62 Slide 63 Slide 64 Slide 65
More informationSection 5: Solving Circular Motion Problems the Vertical Circle
Section 5: Solving Circular Motion Problems the Vertical Circle In the last section, we worked with objects moving in a circle in a horizontal plane. In these situations, the weight of the moving object
More information1 Newton s Laws of Motion
Exam 1 Ast 4  Chapter 2  Newton s Laws Exam 1 is scheduled for the week of Feb 19th Bring Pencil Scantron 882E (available in the Bookstore) A scientific calculator (you will not be allowed to use you
More informationGravity and Friction Worksheet A
Gravity and Friction Worksheet A Completion Directions: On each line, write the term that correctly completes each sentence. 1. Gravity and magnetism are examples of forces. 2. is the measure of gravitational
More informationChapter 4 Making Sense of the Universe: Understanding Motion, Energy, and Gravity
Chapter 4 Making Sense of the Universe: Understanding Motion, Energy, and Gravity How do we describe motion? Precise definitions to describe motion: Speed: Rate at which object moves sp e e d = d ista
More informationHOW DO YOU GET SOMETHING TO MOVE IN A CIRCLE?
CIRCULAR MOTION HOW DO YOU GET SOMETHING TO MOVE IN A CIRCLE? Name one thing that travels in a circular path. (not something that spins) What are some things we could measure about its motion? Consider
More informationComplete each of the following sentences by choosing the correct term from the word bank.
Skills Worksheet Chapter Review USING VOCABULARY 1. Academic Vocabulary In the sentence Gravity has an important role in maintaining the shape of the solar system, what does the word role mean? a. a part
More informationPSI AP Physics 1 Gravitation
PSI AP Physics 1 Gravitation Multiple Choice 1. Two objects attract each other gravitationally. If the distance between their centers is cut in half, the gravitational force A) is cut to one fourth. B)
More informationAstronomy 110 Homework #04 Assigned: 02/06/2007 Due: 02/13/2007. Name:
Astronomy 110 Homework #04 Assigned: 02/06/2007 Due: 02/13/2007 Name: Directions: Listed below are twenty (20) multiplechoice questions based on the material covered by the lectures this past week. Choose
More informationChapter 5 Using Newton s Laws: Friction, Circular Motion, Drag Forces. Copyright 2009 Pearson Education, Inc.
Chapter 5 Using Newton s Laws: Friction, Circular Motion, Drag Forces Units of Chapter 5 Applications of Newton s Laws Involving Friction Uniform Circular Motion Kinematics Dynamics of Uniform Circular
More informationGravity operates by the inverse square law (source Hyperphysics)
Gravity operates by the inverse square law (source Hyperphysics) A main objective in this lesson is that you understand the basic notion of inverse square relationships. There are a small number (perhaps
More informationInertial frame of reference: The frame of reference in which Newton`s first law is valid is called inertial frame of reference.
Dynamics Newton`s first law: If no net force acts on a body, it will move on a straight line at constant velocity or will stay at rest if it stays initially at rest. Inertial frame of reference: The frame
More informationChapter 6  Dynamics of Uniform Circular Motion w./ QuickCheck Questions
Chapter 6  Dynamics of Uniform Circular Motion w./ QuickCheck Questions 2015 Pearson Education, Inc. Anastasia Ierides Department of Physics and Astronomy University of New Mexico September 24, 2015 Review
More informationChapter 13. Newton s Theory of Gravity
Chapter 13. Newton s Theory of Gravity The beautiful rings of Saturn consist of countless centimetersized ice crystals, all orbiting the planet under the influence of gravity. Chapter Goal: To use Newton
More informationThe Main Point. The Scientific Method. Laws of Planetary Motion. Lecture #3: Orbits and Gravity. Laws of Planetary Motion:
Lecture #3: Orbits and Gravity Laws of Planetary Motion: Kepler's Laws. Newton's Laws. Gravity. Planetary Orbits. Spacecraft Orbits. The Main Point Motions of planets, moons, and asteroids can be very
More informationTwo new stars with masses 3M and 2M form another star system with a distance d between their centers.
AP Physics C Gravity Free Response Problems 1. Two identical stars from a binary star system move in the same circular orbit of radius R. Each star has a mass M. The universal gravitational constant is
More informationPhysics Principles of Physics
Physics 140800 Principles of Physics Lecture 10 Chapter 6 September 19, 008 SungWon Lee Sungwon.Lee@ttu.edu Announcement Lecture note is on the web handout (4 slides/page) http://highenergy.phys.ttu.edu/~slee/1408/
More informationDYNAMICS OF UNIFORM CIRCULAR MOTION
chapter DYNAMICS OF UNIFORM CIRCULAR MOTION Section 5.1 Uniform Circular Motion Section 5.2 Centripetal Acceleration 1. A ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. What
More informationMechanics before Newton
Chapter 5: Gravity and Motion Mechanics before Newton Impetus Theory: motion requires force, an objects natural state is to be at rest. Galileo, the experimenter motion as a natural state, force is required
More information