Is velocity constant? A = πr 2

Size: px
Start display at page:

Download "Is velocity constant? A = πr 2"

Transcription

1 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? A = πr 2 1. A bicycle is traveling around a circle with radius 30 m. It completes one circle in 40 seconds. a. What was the bike s average speed? b. What was the bike s average velocity? 2. A jogger is at a constant speed of 4 m/s around a circle of diameter 50 m. How long does it take him to complete one circle? 3. A car traveling at 20 m/s completes a circle in 120 second. What is the diameter of the circle? Motion/Acceleration in 1 dimension Motion/Acceleration in 2 dimensions 1

2 Velocity Centripetal Acceleration Acceleration Centripetal Acceleration (on reference table) Centripetal means: Centripetal Force Centripetal force is not a new type of force. It is any center seeking force (or sum of forces) that causes circular/curved motion Tennis ball on a string Car driving in a circle Satellite orbiting Earth Center-seeking Center-seeking Center-seeking Force: Force: Force: 4. A car is traveling in a circle with radius 16 m at 12 m/s. What is the centripetal accelereation of the car? 2

3 5. A 4 kilogram object is swing in a horizontal circle from the end of a 0.5m rope at a speed of 5 meters per second. a. What is the centripetal acceleration acting on the object? b. What is the centripetal force acting on the object? 6. A ball on a string is traveling in a circle of radius 1 meter. It experience centripetal acceleration of 4 m/s 2. What is the speed of the ball? 7. A ball with mass of 0.2 kg is traveling in a circle with a speed of 5 m/s. If it has centripetal acceleration of 6 m/s 2, what is the radius of the circle? 8. What is the centripetal force on a 2000 kg airplane making a turn with a radius of 1000m if it is moving at 33 m/s? 9. A bicycle wheel has a radius of 0.5 m. When it spins, it completes one full turn in 1.6 seconds. A pebble wedged in the tread has a mass of 10 grams. a. Calculate the speed of the pebble b. Calculate the centripetal force on the pebble. 10. The diagram shows the top view of a 65-kilogram student at point A on an amusement park ride. The ride spins the student in a horizontal circle of radius 2.5 meters, at a constant speed of 8.6 meters per second. The floor is lowered and the student remains against the wall without falling to the floor. Use the following vectors for a through d a. Which vector best represents the direction of the student s velocity? b. Of the centripetal acceleration? c. Of the centripetal force? d. Of the student s momentum? e. Calculate the magnitude of the centripetal force acting on the student. 3

4 11. A bicycle is traveling in a circle of radius 30 m. It is traveling at 9 m/s. a. What is the magnitude of the centripetal acceleration? b. What would happen to the centripetal acceleration if the radius doubled? c. What if the radius was halved? d. What if the velocity doubled? e. What if the velocity was halved? 12. A ball attached to a string is moved at constant speed in a horizontal circular path. A target is located near the path of the ball as shown in the diagram. At which point along the ball s path should the string be released, if the ball is to hit the target? 13. A child is riding on a merry-go-round. As the speed of the merry-go-round is doubled, the magnitude of the centripetal force acting on the child 1. remains the same 2. is doubled 3. is halved 4. is quadrupled 14. A baby and a stroller have a total mass of 20 kilograms. A force of 36 newtons keeps the stroller moving in a circular path with a radius of 5.0 meters. Calculate the speed at which the stroller moves around the curve. 15. A 1750-kilogram car travels at a constant speed of 15 meters per second around a horizontal circular track with a radius of 45 meters. The magnitude of the centripetal force acting on the car is 16. A point on a car tire rotating at a constant rate. Which graph best represents the magnitude of the centripetal acceleration of point S as a function of time? 17. A car round a horizontal curve of constant radius at a constant speed. Which diagram best represents the directions of both the car s velocity, v, and acceleration, a? 4

5 18. The moon orbits the earth every 27.3 days (2.359 x 10 6 s). The Earth-moon radius is approximately 3.8 x 10 8 m. What is the speed of the moon in m/s? What is the centripetal acceleration of the moon? What force causes this acceleration? Isaac Newton: The Apple & The Moon How far is an apple from the center of the Earth? What is the acceleration due to gravity for an apple that falls from a tree, on the surface of the Earth? If apples fall to the Earth, why doesn t the moon? Could it be that the same law applies? Imagine a projectile launched horizontally from 4.9 meters above the ground. It will hit the ground after 1 second. If it is launched at 30 m/s, how far will it travel before it hits the ground? But what if the projectile is launched so fast that the curvature of the Earth becomes a concern? What if it is launched so fast, that after one second, it travels far enough that the Earth curves away a distance of 4.9 m. What will its height be after one second? Then after another second, the Earth will have curved away another 4.9 m. What will its height be? This is called An object in orbit is in a perpetual state of free fall. As it falls each meter, the Earth curves away a meter, so it never reaches the Earth Newton knew that the moon was approximately 60 Earth radii away. He hypothesized that gravity followed a 1/r 2 relationship. If this is true, what should acceleration due to gravity be for the moon? 5

6 Was he correct? How did he know? Force of attraction between Universal Gravitation Yes, F g = (on reference table) 19. What is the force of attraction between two 60 kg students separated by 1 meter? Why is it that we don t feel this force in everyday life? 20. What is the force of attraction between a 3 kg mass and a 9 kg mass separated by 0.05 m? 21. The force of attraction between two 10 kg masses is 2 x 10-6 N. What is the distance between the two masses? 22. The force of attraction between the Earth and a 2000 kg satellite is 5000 N. What is the distance between the center of the Earth and the satellite? Why is this important? This was the first time in history that the laws of physics governing the world around us were proven to be the same as the laws of physics governing the heavens. The same force that causes an apple to fall from the tree, causes the moon, sun, planets, and stars to behave the way they do. For the first time in 6

7 history, these could be considered real physical objects with physical properties that behave according to physical laws that is why this is called Newton s law of Universal Gravitation it applies to all objects in the universe. Calculator Practice Use the capital E or EE button. Using this, you will be less prone to mistakes. The EE button replaces x10^ 8 x 10 3 = 8E3 7E-14 = 7 x Practice 23. Using the reference table, calculate the force of gravity between the Earth and the Moon. 24. Calculate the force of gravity between two 5x10-4 kg objects separated by 12 micrometers. Gravitational Fields Force of gravity for an object near the surface of the Earth F g = We say that near the surface of the Earth, there is a gravitational field strength of Gravitational field is like an around any object that has mass. It causes other objects to experience a force and acceleration. 25. What is the gravitational field strength on the moon, where a dropped object falls 0.8 meters in 1 second? 7

8 26. What is the gravitational field strength on Mars, where acceleration due to gravity is 3.6 m/s 2? Henry Cavendish The man who measured the mass of the Earth Newton knew that gravitational field strength on Earth, (G) x (M Earth ) / (radius of Earth) 2 = He knew the radius of the Earth, but how could he know G or M Earth? Henry Cavendish used very massive objects and a very well balanced machine to measure the very small force of attraction between two objects on Earth. Once he successfully measured G, he could calculate the mass of the Earth! 27. If Cavendish used two 600 kg spherical masses separated by 1 meter, what would the force of gravity be between them? Draw the direction of force for both masses. What acceleration would each mass experience? 28. The space station orbits the Earth from an altitude of 400 km above Earth s surface. a. What radial distance should you use? b. Draw the direction of force on both the space station and Earth. c. What is the force of attraction between the 4 x 10 6 kg space station and the Earth? d. What is the acceleration of the space station due to this force? e. If the space station travels in uniform circular motion, calculate the speed it is traveling. 8

9 Ratios To find a ratio for F g (or any quantity, this applies to more than just force or F g ) First take the equation: Fg = Then put a 1 in for anything that stays the same. Put a 2 in for anything that doubles, 3 for triples, 0.5 for halved, etc. Your answer will then be the multiple of the original F g! 29. What happens to the force of gravity between two objects if the distance between both objects doubles? 30. What happens to centripetal acceleration when speed is halved? 31. A car going around a circle undergoes a centripetal acceleration of 2 m/s 2. What would the acceleration be if the speed doubled? Circular Motion Quick Review Universal Gravitation 9

10 Draw vectors to represent centripetal force; centripetal acceleration; and/or velocity in circular motion systems. Calculate speed, force, and acceleration in circular motion systems. 1. A merry go round of radius 6 meters completes one rotation every 15 seconds. Calculate the speed of a rider on the outside of the merry-go-round. 2. Sketch velocity, force, and acceleration vectors for each: a. b. Review Checklist Determine the effect of changing variable(s) on an equation particularly F g 10. A gravitational force F attracts two objects of mass M toward each other when R meters apart. a. What happens to the force if both masses are doubled? b. the distance is changed to 3R? c. both masses are doubled and the distance is half? d. one mass is 3M, the other is 2M, and the distance is R/2? 11. An object undergoes centripetal acceleration of 5 m/s 2. a. What would the acceleration be if the speed doubles? b. What if the radius doubles? c. What if both double? 3. What is the centripetal acceleration of a toy ball on the end of a 1.44 meter long string if it is moving at 12 meters per second? 4. What is the centripetal force acting on a 2000 kilogram airplane if it turns with a radius of 1000 meters while moving at 300 meters per second? 5. Calculate the speed experienced by a rider on a carnival Graviton ride if the ride provides an acceleration of 14 m/s 2 at a distance of 4 meters from the center? 6. A 3.5 kilogram object is swung in a circular path on the end of a 0.4 meter long string. The object makes one trip around the circle every 0.2 seconds. a. Calculate the speed of the object (hint: v = d/t) b. Determine the centripetal acceleration of the object. c. Calculate the centripetal force acting on the object. Answers m/s 2. a. velocity right, acceleration/force up b. velocity up, acceleration/force right m/s ,000 N m/s 6. a m/s b m/s 2 c N x N N x 10-3 m 10. a. 4 X as much b. 1/9 X c. 16 X d. 24 X 11. a. 20 m/s 2 b. 2.5 m/s 2 c. 10 m/s 2 Solve for an unknown variable using the universal gravitation formula 7. Determine the gravitational force of attraction experienced by two 5.0 kilogram masses separated by a distance of 2.5 meters. 8. Determine the force of gravity between the Earth and a 1200kg satellite orbiting with a distance of 2x10 7 m from the center of the Earth. 9. The force of gravity between two 10 kg objects is 1 x 10-3 N. Determine the distance between both objects. 10

PHY1 Review for Exam 5

PHY1 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 information

circular motion & gravitation physics 111N

circular 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 information

2. (P2.1 A) a) A car travels 150 km in 3 hours, what is the cars average speed?

2. (P2.1 A) a) A car travels 150 km in 3 hours, what is the cars average speed? Physics: Review for Final Exam 1 st Semester Name Hour P2.1A Calculate the average speed of an object using the change of position and elapsed time 1. (P2.1 A) What is your average speed if you run 140

More information

Version A Page 1. 1. The diagram shows two bowling balls, A and B, each having a mass of 7.00 kilograms, placed 2.00 meters apart.

Version A Page 1. 1. The diagram shows two bowling balls, A and B, each having a mass of 7.00 kilograms, placed 2.00 meters apart. Physics Unit Exam, Kinematics 1. The diagram shows two bowling balls, A and B, each having a mass of 7.00 kilograms, placed 2.00 meters apart. What is the magnitude of the gravitational force exerted by

More information

356 CHAPTER 12 Bob Daemmrich

356 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 information

UCM-Gravity. 2. The diagram shows two bowling balls, A and B, each having a mass of 7 kilograms, placed 2 meters apart.

UCM-Gravity. 2. The diagram shows two bowling balls, A and B, each having a mass of 7 kilograms, placed 2 meters apart. 1. A space probe is launched into space from Earth s surface. Which graph represents the relationship between the magnitude of the gravitational force exerted on Earth by the space probe and the distance

More information

Chapter 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 Chapter 6 Circular Motion, Orbits, and Gravity PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition 6 Circular Motion, Orbits, and Gravity Slide 6-2 Slide 6-3 Slide 6-4 Slide 6-5

More information

Gravitation. Gravitation

Gravitation. 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 information

Motion in Two Dimensions

Motion in Two Dimensions Motion in Two Dimensions 1. The position vector at t i is r i and the position vector at t f is r f. The average velocity of the particle during the time interval is a.!!! ri + rf v = 2 b.!!! ri rf v =

More information

M OTION. Chapter2 OUTLINE GOALS

M 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 information

Universal Gravitation Multiple Choice Homework

Universal Gravitation Multiple Choice Homework Universal Gravitation Multiple Choice Homework PSI Physics Name Multiple Choice Questions 1. The discovery of Universal Gravitation is associated with: A. Robert Hook B. Isaac Newton C. James Joule D.

More information

Milky Way Galaxy. Orbital Speed of Solar System: 220 km/s Orbital Period: 225 Million Years

Milky Way Galaxy. Orbital Speed of Solar System: 220 km/s Orbital Period: 225 Million Years Circular Motion Milky Way Galaxy Orbital Speed of Solar System: 220 km/s Orbital Period: 225 Million Years Mercury: 48 km/s Venus: 35 km/s Earth: 30 km/s Mars: 24 km/s Jupiter: 13 km/s Neptune: 5 km/s

More information

Chapter 6 Circular Motion, Orbits and Gravity

Chapter 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 information

Lesson 5 Rotational and Projectile Motion

Lesson 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 information

James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres. Chapter 2 Motion Cengage Learning

James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres. Chapter 2 Motion Cengage Learning James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres Chapter 2 Motion Defining Motion Motion is a continuous change in position can be described by measuring the rate of change of position

More information

Understanding the motion of the Universe. Motion, Force, and Gravity

Understanding the motion of the Universe. Motion, Force, and Gravity Understanding the motion of the Universe Motion, Force, and Gravity Laws of Motion Stationary objects do not begin moving on their own. In the same way, moving objects don t change their movement spontaneously.

More information

F N A) 330 N 0.31 B) 310 N 0.33 C) 250 N 0.27 D) 290 N 0.30 E) 370 N 0.26

F N A) 330 N 0.31 B) 310 N 0.33 C) 250 N 0.27 D) 290 N 0.30 E) 370 N 0.26 Physics 23 Exam 2 Spring 2010 Dr. Alward Page 1 1. A 250-N force is directed horizontally as shown to push a 29-kg box up an inclined plane at a constant speed. Determine the magnitude of the normal force,

More information

PSI AP Physics B Kinematics Multiple-Choice Questions

PSI AP Physics B Kinematics Multiple-Choice Questions PSI AP Physics B Kinematics Multiple-Choice Questions 1. An object moves around a circular path of radius R. The object starts from point A, goes to point B and describes an arc of half of the circle.

More information

Circular Motion and Gravitation. a R = v 2 v. Period and Frequency. T = 1 f. Centripetal Acceleration acceleration towards the center of a circle.

Circular Motion and Gravitation. a R = v 2 v. Period and Frequency. T = 1 f. Centripetal Acceleration acceleration towards the center of a circle. Circular Motion and Gravitation Centripetal Acceleration acceleration towards the center of a circle. a.k.a. Radial Acceleration (a R ) v v Ball rolling in a straight line (inertia) Same ball, hooked to

More information

Chapter 3.8 & 6 Solutions

Chapter 3.8 & 6 Solutions Chapter 3.8 & 6 Solutions P3.37. Prepare: We are asked to find period, speed and acceleration. Period and frequency are inverses according to Equation 3.26. To find speed we need to know the distance traveled

More information

13 Universal Gravitation. Everything pulls on everything else.

13 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 information

GRAVITATIONAL FIELDS PHYSICS 20 GRAVITATIONAL FORCES. Gravitational Fields (or Acceleration Due to Gravity) Symbol: Definition: Units:

GRAVITATIONAL 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 information

7.2 Calculate force of gravity at a given distance given the force of gravity at another distance (making use of the inverse square relationship).

7.2 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 information

Newton s Laws. Newton s Imaginary Cannon. Michael Fowler Physics 142E Lec 6 Jan 22, 2009

Newton s Laws. Newton s Imaginary Cannon. Michael Fowler Physics 142E Lec 6 Jan 22, 2009 Newton s Laws Michael Fowler Physics 142E Lec 6 Jan 22, 2009 Newton s Imaginary Cannon Newton was familiar with Galileo s analysis of projectile motion, and decided to take it one step further. He imagined

More information

Concept Review. Physics 1

Concept 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 information

1) 0.33 m/s 2. 2) 2 m/s 2. 3) 6 m/s 2. 4) 18 m/s 2 1) 120 J 2) 40 J 3) 30 J 4) 12 J. 1) unchanged. 2) halved. 3) doubled.

1) 0.33 m/s 2. 2) 2 m/s 2. 3) 6 m/s 2. 4) 18 m/s 2 1) 120 J 2) 40 J 3) 30 J 4) 12 J. 1) unchanged. 2) halved. 3) doubled. Base your answers to questions 1 through 5 on the diagram below which represents a 3.0-kilogram mass being moved at a constant speed by a force of 6.0 Newtons. 4. If the surface were frictionless, the

More information

University Physics 226N/231N Old Dominion University. Chapter 13: Gravity (and then some)

University Physics 226N/231N Old Dominion University. Chapter 13: Gravity (and then some) University Physics 226N/231N Old Dominion University Chapter 13: Gravity (and then some) Dr. Todd Satogata (ODU/Jefferson Lab) satogata@jlab.org http://www.toddsatogata.net/2016-odu Monday, November 28,

More information

Understanding the motion of the Universe. Motion, Force, and Gravity

Understanding the motion of the Universe. Motion, Force, and Gravity Understanding the motion of the Universe Motion, Force, and Gravity Laws of Motion Stationary objects do not begin moving on their own. In the same way, moving objects don t change their movement spontaneously.

More information

Circular Motion. We will deal with this in more detail in the Chapter on rotation!

Circular Motion. We will deal with this in more detail in the Chapter on rotation! Circular Motion I. Circular Motion and Polar Coordinates A. Consider the motion of ball on a circle from point A to point B as shown below. We could describe the path of the ball in Cartesian coordinates

More information

2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration.

2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration. 2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration. Dynamics looks at the cause of acceleration: an unbalanced force. Isaac Newton was

More information

Chapter 3: Force and Motion

Chapter 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 odd-numbered questions on Exercises sections at the end of the chapter. In

More information

4 Gravity: A Force of Attraction

4 Gravity: A Force of Attraction CHAPTER 1 SECTION Matter in Motion 4 Gravity: A Force of Attraction BEFORE YOU READ After you read this section, you should be able to answer these questions: What is gravity? How are weight and mass different?

More information

Newton s Law of Universal Gravitation

Newton 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 information

Name Class Period. F = G m 1 m 2 d 2. G =6.67 x 10-11 Nm 2 /kg 2

Name Class Period. F = G m 1 m 2 d 2. G =6.67 x 10-11 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 information

AP Physics Circular Motion Practice Test B,B,B,A,D,D,C,B,D,B,E,E,E, 14. 6.6m/s, 0.4 N, 1.5 m, 6.3m/s, 15. 12.9 m/s, 22.9 m/s

AP Physics Circular Motion Practice Test B,B,B,A,D,D,C,B,D,B,E,E,E, 14. 6.6m/s, 0.4 N, 1.5 m, 6.3m/s, 15. 12.9 m/s, 22.9 m/s AP Physics Circular Motion Practice Test B,B,B,A,D,D,C,B,D,B,E,E,E, 14. 6.6m/s, 0.4 N, 1.5 m, 6.3m/s, 15. 12.9 m/s, 22.9 m/s Answer the multiple choice questions (2 Points Each) on this sheet with capital

More information

Newton s Laws of Motion

Newton s Laws of Motion Newton s Laws of Motion FIZ101E Kazım Yavuz Ekşi My contact details: Name: Kazım Yavuz Ekşi Email: eksi@itu.edu.tr Notice: Only emails from your ITU account are responded. Office hour: Wednesday 10.00-12.00

More information

Chapter 4 Dynamics: Newton s Laws of Motion. Copyright 2009 Pearson Education, Inc.

Chapter 4 Dynamics: Newton s Laws of Motion. Copyright 2009 Pearson Education, Inc. Chapter 4 Dynamics: Newton s Laws of Motion Force Units of Chapter 4 Newton s First Law of Motion Mass Newton s Second Law of Motion Newton s Third Law of Motion Weight the Force of Gravity; and the Normal

More information

III. Applications of Force and Motion Concepts. Concept Review. Conflicting Contentions. 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument

III. Applications of Force and Motion Concepts. Concept Review. Conflicting Contentions. 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument III. Applications of Force and Motion Concepts Concept Review Conflicting Contentions 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument Qualitative Reasoning 1. Dropping Balls 2. Spinning Bug

More information

Name: Date: Period: Gravity Study Guide

Name: Date: Period: Gravity Study Guide Vocabulary: Define the following terms. Law of Universal Gravitation Gravity Study Guide Weight Weightlessness Gravitational Field Black hole Escape velocity Math: Be able to use the equation for the law

More information

Satellites and Space Stations

Satellites and Space Stations Satellites and Space Stations A satellite is an object or a body that revolves around another object, which is usually much larger in mass. Natural satellites include the planets, which revolve around

More information

8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight

8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight 1. What is the average speed of an object that travels 6.00 meters north in 2.00 seconds and then travels 3.00 meters east in 1.00 second? 9.00 m/s 3.00 m/s 0.333 m/s 4.24 m/s 2. What is the distance traveled

More information

Universal Law of Gravitation Honors Physics

Universal Law of Gravitation Honors Physics Universal Law of Gravitation Honors Physics 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

More information

Physics Honors: Chapter 7 Practice Test

Physics Honors: Chapter 7 Practice Test Physics Honors: Chapter 7 Practice Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. When an object is moving with uniform circular motion,

More information

Gravitation. Physics 1425 Lecture 11. Michael Fowler, UVa

Gravitation. 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 information

PSI AP Physics I Rotational Motion

PSI AP Physics I Rotational Motion PSI AP Physics I Rotational Motion Multiple-Choice questions 1. Which of the following is the unit for angular displacement? A. meters B. seconds C. radians D. radians per second 2. An object moves from

More information

Chapter 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. 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 information

2. A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed? a. 3.2 rad/s c. 52 rad/s b. 26 rad/s d.

2. A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed? a. 3.2 rad/s c. 52 rad/s b. 26 rad/s d. Rotational Motion 1. 2 600 rev/min is equivalent to which of the following? a. 2600 rad/s c. 273 rad/s b. 43.3 rad/s d. 60 rad/s 2. A grindstone spinning at the rate of 8.3 rev/s has what approximate angular

More information

KEY NNHS Introductory Physics: MCAS Review Packet #1 Introductory Physics, High School Learning Standards for a Full First-Year Course

KEY NNHS Introductory Physics: MCAS Review Packet #1 Introductory Physics, High School Learning Standards for a Full First-Year Course Introductory Physics, High School Learning Standards for a Full First-Year Course I. C O N T E N T S T A N D A R D S Central Concept: Newton s laws of motion and gravitation describe and predict the motion

More information

Ch 6 Forces. Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79

Ch 6 Forces. Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79 Ch 6 Forces Question: 9 Problems: 3, 5, 13, 23, 29, 31, 37, 41, 45, 47, 55, 79 Friction When is friction present in ordinary life? - car brakes - driving around a turn - walking - rubbing your hands together

More information

Physics Exam Q1 Exam, Part A Samples

Physics Exam Q1 Exam, Part A Samples Physics Exam Q1 Exam, Part A Samples 1. An object starts from rest and accelerates uniformly down an incline. If the object reaches a speed of 40 meters per second in 5 seconds, its average speed is (A)

More information

Newton s Universal Law of Gravitation The Apple and the Moon Video

Newton 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 information

Linear Centripetal Tangential speed acceleration acceleration A) Rω Rω 2 Rα B) Rω Rα Rω 2 C) Rω 2 Rα Rω D) Rω Rω 2 Rω E) Rω 2 Rα Rω 2 Ans: A

Linear Centripetal Tangential speed acceleration acceleration A) Rω Rω 2 Rα B) Rω Rα Rω 2 C) Rω 2 Rα Rω D) Rω Rω 2 Rω E) Rω 2 Rα Rω 2 Ans: A 1. Two points, A and B, are on a disk that rotates about an axis. Point A is closer to the axis than point B. Which of the following is not true? A) Point B has the greater speed. B) Point A has the lesser

More information

End-of-Chapter Exercises

End-of-Chapter Exercises End-of-Chapter Exercises Exercises 1 12 are conceptual questions that are designed to see if you have understood the main concepts of the chapter. 1. Figure 11.20 shows four different cases involving a

More information

Homework 4. problems: 5.61, 5.67, 6.63, 13.21

Homework 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 information

C B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N

C B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a

More information

Center of Mass/Momentum

Center of Mass/Momentum Center of Mass/Momentum 1. 2. An L-shaped 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 L-shaped

More information

2. A car s engine spins at 1500 RPM. What is the frequency of the rotating engine?

2. A car s engine spins at 1500 RPM. What is the frequency of the rotating engine? Answer all questions in standard SI units. FREQUENCY AND PERIOD PROBLEMS 1. A turntable rotates an album at 33 revolution per minute, RPM. What frequency is this? 2. A car s engine spins at 1500 RPM. What

More information

Physics 2101 Section 3 March 19th : Ch. : Ch. 13 Announcements: Quiz today. Class Website:

Physics 2101 Section 3 March 19th : Ch. : Ch. 13 Announcements: Quiz today. Class Website: Physics 2101 Section 3 March 19 th : Ch. 13 Announcements: Quiz today. Class Website: http://www.phys.lsu.edu/classes/spring2010/phys2101-3/ http://www.phys.lsu.edu/~jzhang/teaching.html Chapt. 13: Gravitation

More information

Units DEMO spring scales masses

Units DEMO spring scales masses Dynamics the study of the causes and changes of motion Force Force Categories ContactField 4 fundamental Force Types 1 Gravity 2 Weak Nuclear Force 3 Electromagnetic 4 Strong Nuclear Force Units DEMO spring

More information

Measurements of Speed. Speed. v = d t. PowerPoint Lectures to accompany Physical Science, 6e

Measurements of Speed. Speed. v = d t. PowerPoint Lectures to accompany Physical Science, 6e PowerPoint Lectures to accompany Physical Science, 6e Chapter 2 Motion Homework: All the multiple choice questions in Applying the Concepts and Group A questions in Parallel Exercises. Motion is.. A change

More information

Chapter 13: Universal Gravitation

Chapter 13: Universal Gravitation Chapter 13: Universal Gravitation I. The Falling Apple (13.1) A. Isaac Newton (1642-1727) 1. Formulated ideas based on earlier work by Galileo (concept of inertia) 2. Concept if object undergoes change

More information

Physics term 1 reviewsheet

Physics term 1 reviewsheet Name: ate: 1. The length of line shown is closest to one. millimeter. centimeter. meter. kilometer 5. The diagram shown represents a rectangle composed of squares with sides one meter long. What is the

More information

Use the following information to deduce that the gravitational field strength at the surface of the Earth is approximately 10 N kg 1.

Use 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 information

Chapter 5: Circular Motion

Chapter 5: Circular Motion Page 1 Chapter 5: Circular Motion Rotating Objects: Wheels, moon, earth, CDs, DVDs etc. Rigid bodies. Description of circular motion. Angular Position, Angular Displacement θ r s Angle (in radians) θ =

More information

Chapter 4 Dynamics: Newton s Laws of Motion

Chapter 4 Dynamics: Newton s Laws of Motion Chapter 4 Dynamics: Newton s Laws of Motion Units of Chapter 4 Force Newton s First Law of Motion Mass Newton s Second Law of Motion Newton s Third Law of Motion Weight the Force of Gravity; and the Normal

More information

Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam

Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry

More information

Physics 271 FINAL EXAM-SOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath

Physics 271 FINAL EXAM-SOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath Physics 271 FINAL EXAM-SOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath 1. The exam will last from 8:00 am to 11:00 am. Use a # 2 pencil to make entries on the answer sheet. Enter the following id information

More information

AP1 Gravity. at an altitude equal to twice the radius (R) of the planet. What is the satellite s speed assuming a perfectly circular orbit?

AP1 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 information

Exam 1 Review Questions PHY 2425 - Exam 1

Exam 1 Review Questions PHY 2425 - Exam 1 Exam 1 Review Questions PHY 2425 - Exam 1 Exam 1H Rev Ques.doc - 1 - Section: 1 7 Topic: General Properties of Vectors Type: Conceptual 1 Given vector A, the vector 3 A A) has a magnitude 3 times that

More information

9. The kinetic energy of the moving object is (1) 5 J (3) 15 J (2) 10 J (4) 50 J

9. The kinetic energy of the moving object is (1) 5 J (3) 15 J (2) 10 J (4) 50 J 1. If the kinetic energy of an object is 16 joules when its speed is 4.0 meters per second, then the mass of the objects is (1) 0.5 kg (3) 8.0 kg (2) 2.0 kg (4) 19.6 kg Base your answers to questions 9

More information

Practice Test (Chapter 10)

Practice Test (Chapter 10) Practice Test (Chapter 10) 1) According to Kepler's laws, the paths of planets about the sun are A) parabolas. B) circles. C) straight lines. D) ellipses. Answer: D 2) Which of the following is not a vector

More information

PH 221-1D Spring Force and Motion II. Lecture Chapter 6 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition)

PH 221-1D Spring Force and Motion II. Lecture Chapter 6 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) PH 221-1D Spring 2013 Force and Motion II Lecture 12-13 Chapter 6 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) Chapter 6 Force and Motion II In this chapter we will cover the following

More information

Exemplar Problems Physics

Exemplar Problems Physics Chapter Eight GRAVITATION MCQ I 8.1 The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration

More information

3.1 (I) What net force must be exerted on a 7.0-kg sack of potatoes to give it an acceleration of 3.5 m/sec 2? Solution.

3.1 (I) What net force must be exerted on a 7.0-kg sack of potatoes to give it an acceleration of 3.5 m/sec 2? Solution. Ch.3 PROBLEMS Sections 3.1 and 3.2 3.1 (I) What net force must be exerted on a 7.0-kg sack of potatoes to give it an acceleration of 3.5 m/sec 2? Solution. a = f m kg m f = ma = 7kg 3.5 m sec 2 = 24.5

More information

PHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true?

PHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true? 1. Which one of the following statements concerning kinetic energy is true? A) Kinetic energy can be measured in watts. B) Kinetic energy is always equal to the potential energy. C) Kinetic energy is always

More information

1. Ignoring friction with the air, at what angle relative to the horizontal would a projectile travel the greatest horizontal distance?

1. Ignoring friction with the air, at what angle relative to the horizontal would a projectile travel the greatest horizontal distance? North arolina Testing Program EO Physics Sample Items Goal 1. Ignoring friction with the air, at what angle relative to the horizontal would a projectile travel the greatest horizontal distance? 15 30

More information

Halliday, Resnick & Walker Chapter 13. Gravitation. Physics 1A PHYS1121 Professor Michael Burton

Halliday, Resnick & Walker Chapter 13. Gravitation. Physics 1A PHYS1121 Professor Michael Burton Halliday, Resnick & Walker Chapter 13 Gravitation Physics 1A PHYS1121 Professor Michael Burton II_A2: Planetary Orbits in the Solar System + Galaxy Interactions (You Tube) 21 seconds 13-1 Newton's Law

More information

PHYSICS MIDTERM REVIEW

PHYSICS MIDTERM REVIEW 1. The acceleration due to gravity on the surface of planet X is 19.6 m/s 2. If an object on the surface of this planet weighs 980. newtons, the mass of the object is 50.0 kg 490. N 100. kg 908 N 2. If

More information

Inertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton

Inertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton Inertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton Position is a Vector Compare A A ball is 12 meters North of the Sun God to A A ball is 10 meters from here A vector has both a direction

More information

Name: Date: 7. A child is riding a bike and skids to a stop. What happens to their kinetic energy? Page 1

Name: Date: 7. A child is riding a bike and skids to a stop. What happens to their kinetic energy? Page 1 Name: Date: 1. Driving down the road, you hit an insect. How does the force your car exerts on the insect compare to the force the insect exerts on the car? A) The insect exerts no force on the car B)

More information

Newton s Laws of Motion

Newton s Laws of Motion Chapter 4 Newton s Laws of Motion PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 4 To understand the meaning

More information

PHY231 Section 1, Form B March 22, 2012

PHY231 Section 1, Form B March 22, 2012 1. A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate

More information

ANSWER KEY. Reviewing Physics: The Physical Setting THIRD EDITION. Amsco School Publications, Inc. 315 Hudson Street / New York, N.Y.

ANSWER KEY. Reviewing Physics: The Physical Setting THIRD EDITION. Amsco School Publications, Inc. 315 Hudson Street / New York, N.Y. NSWER KEY Reviewing Physics: The Physical Setting THIRD EDITION msco School Publications, Inc. 315 Hudson Street / New York, N.Y. 10013 N 7310 CD Manufactured in the United States of merica 1345678910

More information

Physics--Chapter 7: Rotational Motion and the Law of Gravity Supplemental Review Questions (answers at end)

Physics--Chapter 7: Rotational Motion and the Law of Gravity Supplemental Review Questions (answers at end) 1) A cave dweller rotates a pebble in a sling with a radius of 0.30 m counterclockwise through an arc length of 0.96 m. What is the angular displacement of the pebble? a) 1.6 rad b) 1.6 rad c) 3.2 rad

More information

SPEED, VELOCITY, AND ACCELERATION

SPEED, VELOCITY, AND ACCELERATION reflect Look at the picture of people running across a field. What words come to mind? Maybe you think about the word speed to describe how fast the people are running. You might think of the word acceleration

More information

Physics 100 prac exam2

Physics 100 prac exam2 Physics 100 prac exam2 Student: 1. Earth's gravity attracts a person with a force of 120 lbs. The force with which the Earth is attracted towards the person is B. small but not zero. C. billions and billions

More information

Physics Midterm Review. Multiple-Choice Questions

Physics Midterm Review. Multiple-Choice Questions Physics Midterm Review Multiple-Choice Questions 1. A train moves at a constant velocity of 90 km/h. How far will it move in 0.25 h? A. 10 km B. 22.5 km C. 25 km D. 45 km E. 50 km 2. A bicyclist moves

More information

tps Q: If the Earth were located at 0.5 AU instead of 1 AU, how would the Sun s gravitational force on Earth change?

tps Q: If the Earth were located at 0.5 AU instead of 1 AU, how would the Sun s gravitational force on Earth change? tps Q: If the Earth were located at 0.5 AU instead of 1 AU, how would the Sun s gravitational force on Earth change? A. It would be one-fourth as strong. B. It would be one-half as strong. C. It would

More information

Instructor Are you ready for the last force in out unit on forces? I guess we ve saved the most common one for last. That s the force of gravity.

Instructor Are you ready for the last force in out unit on forces? I guess we ve saved the most common one for last. That s the force of gravity. Physics 505 Gravity (Read objectives on screen.) Are you ready for the last force in out unit on forces? I guess we ve saved the most common one for last. That s the force of gravity. Ouch! Legend has

More information

Chapter 4. Motion in two & three dimensions

Chapter 4. Motion in two & three dimensions Chapter 4 Motion in two & three dimensions 4.2 Position and Displacement Position The position of a particle can be described by a position vector, with respect to a reference origin. Displacement The

More information

Today s topic: Gravity

Today s topic: Gravity Today s topic: Gravity Reminder: midterm on Wed Oct 8. I will do a review session second half of today s class Midterm will cover everything through last week. Remember to bring you star wheel for the

More information

25 N to the right. F gravity

25 N to the right. F gravity Have you heard the story about Isaac Newton sitting under an apple tree? According to the story, an apple fell from a tree and hit him on the head. From that event, it is said that Newton discovered the

More information

3.1 Force, Mass, and Acceleration

3.1 Force, Mass, and Acceleration Sir Isaac Newton discovered one of the most important relationships in physics: the link between the force on an object, its mass, and its acceleration. In this section, you will learn about force and

More information

1. Mass, Force and Gravity

1. Mass, Force and Gravity STE Physics Intro Name 1. Mass, Force and Gravity Before attempting to understand force, we need to look at mass and acceleration. a) What does mass measure? The quantity of matter(atoms) b) What is the

More information

Ch.4 Forces. Conceptual questions #1, 2, 12 Problem 1, 2, 5, 6, 7, 10, 12, 15, 16, 19, 20, 21, 23, 24, 26, 27, 30, 38, 39, 41, 42, 47, 50, 56, 66

Ch.4 Forces. Conceptual questions #1, 2, 12 Problem 1, 2, 5, 6, 7, 10, 12, 15, 16, 19, 20, 21, 23, 24, 26, 27, 30, 38, 39, 41, 42, 47, 50, 56, 66 Ch.4 Forces Conceptual questions #1, 2, 12 Problem 1, 2, 5, 6, 7, 10, 12, 15, 16, 19, 20, 21, 23, 24, 26, 27, 30, 38, 39, 41, 42, 47, 50, 56, 66 Forces Forces - vector quantity that changes the velocity

More information

PHY121 #8 Midterm I 3.06.2013

PHY121 #8 Midterm I 3.06.2013 PHY11 #8 Midterm I 3.06.013 AP Physics- Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension

More information

Q3.2.a The gravitational force exerted by a planet on one of its moons is 3e23 newtons when the moon is at a particular location.

Q3.2.a The gravitational force exerted by a planet on one of its moons is 3e23 newtons when the moon is at a particular location. Q3.2.a The gravitational force exerted by a planet on one of its moons is 3e23 newtons when the moon is at a particular location. If the mass of the moon were three times as large, what would the force

More information

Chapter 5: Circular Motion, the Planets, and Gravity

Chapter 5: Circular Motion, the Planets, and Gravity Chapter 5: Circular Motion, the Planets, and Gravity 1. Earth s gravity attracts a person with a force of 120 lbs. The force with which the Earth is attracted towards the person is A. Zero. B. Small but

More information

Lecture 07: Work and Kinetic Energy. Physics 2210 Fall Semester 2014

Lecture 07: Work and Kinetic Energy. Physics 2210 Fall Semester 2014 Lecture 07: Work and Kinetic Energy Physics 2210 Fall Semester 2014 Announcements Schedule next few weeks: 9/08 Unit 3 9/10 Unit 4 9/15 Unit 5 (guest lecturer) 9/17 Unit 6 (guest lecturer) 9/22 Unit 7,

More information

Unit 1: Vectors. a m/s b. 8.5 m/s c. 7.2 m/s d. 4.7 m/s

Unit 1: Vectors. a m/s b. 8.5 m/s c. 7.2 m/s d. 4.7 m/s Multiple Choice Portion 1. A boat which can travel at a speed of 7.9 m/s in still water heads directly across a stream in the direction shown in the diagram above. The water is flowing at 3.2 m/s. What

More information