# APPENDIX A APPENDIX A STSE. Science-Technology-Society and the Environment PHYSICS 3204 CURRICULUM GUIDE 115

Save this PDF as:

Size: px
Start display at page:

Download "APPENDIX A APPENDIX A STSE. Science-Technology-Society and the Environment PHYSICS 3204 CURRICULUM GUIDE 115"

## Transcription

1 APPENDIX A STSE Science-Technology-Society and the Environment PHYSICS 304 CURRICULUM GUIDE 115

2 Important Note These STSE modules are intended for teacher reference. Each is designed to target specific outcomes within Physics 304. It should be noted that the activities associated with each module are NOT mandatory. They are suggested activities to be used at the discretion of the teacher. 116 PHYSICS 304 CURRICULUM GUIDE

3 The Physics of Juggling APPENDIX A Outcomes: 1. Analyze qualitatively and quantitatively the horizontal and vertical motion of a projectile. (35-6). Analyze natural and technological systems to interpret and explain their structure. (116-7) 3. Distinguish between problems that can be solved by the application of physics-related technologies and those that cannot. (118-8) 4. Compile and display evidence and information, by hand or computer, in a variety of formats, including diagrams, flow charts, tables and graphs. (14-3) 5. Analyze and describe examples where technological solutions were developed based on scientific understanding. (116-4) 6. Define and delimit problems, estimate quantities, and interpret patterns and trends in data, and infer or calculate the relationship among variables. (1-, 13-4, 14-5) Introduction An old riddle tells of a 148- pound man who had to cross a canyon over a bridge that could only support 150 pounds (Beek & Lewbel, 1995). Unfortunately the man was carrying three one-pound cannonballs and only had time for one trip across. The solution to the riddle was that the man would juggle the cannonballs while crossing the bridge. In reality, juggling the balls would not have been much help since catching one of the cannonballs would have exerted a force on the bridge that would have exceeded the weight limit. The poor man would have ended up at the bottom of the canyon! Though not very helpful in this particular case, juggling does have relevance beyond riddles or entertainment. Beek and Lewbel (1995) suggest the application of juggling in the study of human movement, robotics, and mathematics. Studying the mathematics of juggling became popular in the 1980 s though juggling itself is an ancient tradition dating back to Egypt and Rome. The term juggling comes from the Latin joculare meaning to jest. Before the mid-twentieth century juggling was mainly a part of magic shows (Juggling). Public interest in juggling as a hobby increased after 1948 when the first juggling convention was held in the United States. That interest has persisted over the years as people continue to test physical limits for the number of objects juggled. Currently, the world record for the greatest number of objects juggled is 13 rings, 1 balls or 9 clubs (List of Numbers Juggling Records, 00). While these numbers may seem impossibly high, they are in fact attainable with the right combination of physical ability and physics knowledge. Theory Good jugglers make juggling look so easy that it is difficult to imagine all the physics that comes into play. Gravity has a significant effect on the number of objects juggled. Each ball must be thrown high enough to allow the juggler time to handle the other balls. While throwing higher gives the juggler extra PHYSICS 304 CURRICULUM GUIDE 117

4 time, it also increases the risk of error. Juggling low on the other hand, requires the juggler to catch and throw quickly, also increasing the risk of error. The need for speed or height will also change dramatically as the number of objects being juggled A knowledge of projectile motion can give a juggler valuable information on the time available to throw and catch balls in a juggling pattern. Let us consider some numbers for throwing one ball in the air at around.0 m/s. The equations for projectile motion can tell us how long the juggler has to catch the ball, how high it will rise and about how far apart to keep the hands. In the following calculations assume that the ball is being thrown from the left hand to the right at an angle of 60 to the horizontal (neglecting air resistance on the ball). Using trigonometry we see that, cos60 o v1x = v1 v sin60 1y = v1 o increases. Beek and Lewbel (1995) assert that learning to juggle three balls can be accomplished in just hours or days. This learning time can increase to weeks or months for four balls, and months or years for five balls. In the cascade, the hands alternate throwing balls to each other, resulting in a figure eight. In the shower pattern the balls are thrown around in a circle. In the fountain pattern the balls are either thrown (and caught) simultaneously with both hands (in sync), or by catching a ball with one hand and throwing one with the other at the same time (out of sync). Despite the identification of these patterns, it is important to note that due to factors like the oscillation of the jugglers hands, or individual vision and feel, no two throws or catches are exactly the same. In an attempt to measure juggling consistency, dwell ratio has been defined as the fraction of time that a hand holds on to a ball between two catches (or throws) (Beek & Lewbel, 1995, p. 3). A large dwell ratio means that the hand cradles the ball for a longer period of time. This means that the juggler has more time to throw accurately. A small dwell ratio means that the balls have a longer time in the air, which allows the juggler time to make corrections to hand repositioning. Novice jugglers typically like larger dwell ratios while professionals tend towards smaller values because they are more interested in shifting patterns. At the peak of its ascent the velocity of the ball in the y-direction will be 0 m/s. The time taken to reach that maximum height can be found from the equation, v y v1y a = t. Solving for t gives, where Therefore, v t = v.0m / s 1 = y v1y a o 60 v 1 x a = 9.8m / s v1 y = v 1 sin 60 v m s. y = 0 / 0m / s v1 sin 60 t = 9.8m / s 0m / s (.0m / s)(sin 60 t = 9.8m / s t = 0. 18s Since the ball traces out a parabolic path, doubling this time will allow us to figure out how far the ball v 1 y ) 118 PHYSICS 304 CURRICULUM GUIDE

5 travels in the x-direction (i.e. the range). This distance is how far the hands should be apart and is given by: 1 d x = v1 xt + axt where acceleration in the horizontal direction is zero (i.e., a x = 0m / s ). Thus, d = v x 1x d x 1 t = v cos 60 t d x = (.0m / s)(cos 60 )(x0.18s) d x = 0. 36m We can also figure out how high the ball will travel using the following equation: d d y y = v1 yt + = 1 a t y 1 ( 9.8 )(0.18 ) (.0m / s)(sin 60 )(0.18s) + m s s d y = 0. 15m These calculations reveal that a ball initially travelling at.0 m/s will reach a height of 0.15 m in 0.18 s, and that horizontally it will travel 0.36 m. This information will be extremely useful to a juggler (especially a novice juggler). To juggle two balls under these conditions would entail throwing the second ball just as the first is reaching its peak (at around 0.18 s). For three balls, you would start with two balls in one hand and one in the other. The third ball would then be thrown when the second is at its peak and the first ball again when the third reaches its peak. The trick is to throw the third ball and catch the first one with the same hand, in the limited time available. Conclusion A basketball or volleyball coach would probably advise his/her players to keep his/her eye on the ball. The best advice for a juggler, however, would be to keep his/her eye off the ball, since a jugglers attention must continually shift from one ball to the next. Possessing information on the timing and height of ball flight would make this job a little / easier. Becoming a good juggler then requires patience, practice and physics. Questions 1. A ball is thrown at an initial velocity of 3.0 m/s upward at an angle of 80 to the horizontal. How high will the ball rise? How far apart should the juggler hold his/her hands?. A juggler throws a ball at an angle of 70 to the horizontal. If the ball took 0.0 s to reach its maximum height, at what initial velocity was it thrown? 3. How is knowledge of projectile motion principles useful to a juggler? 4. Research: Who holds the current world record for greatest number of balls juggled? References Beek, P.J., & Lewbel, A. (1995). The science of juggling. Scientific American, 73, p Dudzik, J. Projectile motion. Available: Giancoli, D.C. (1998). Physics. Prentice-Hall Canada Inc.: Toronto. It s all up in the air: The mathematics of juggling. (001). Available: tm. Juggling. Available: Juggling 101. (001). Available: Juggle.htm. Juggling its history and greatest performers. (1997). Available: List of numbers juggling records. (00). Available: The instant jugglers manual. (1993). Available: PHYSICS 304 CURRICULUM GUIDE 119

6 Activities Activity 1: Projectile Motion Adapted from: Purpose: To explore projectile motion. Materials: Meter stick Spring Tape Protractor Procedure and Analysis: 1. Hold a meter stick against the wall. Mark a 1 meter mark with tape and then measure up more meters and mark with tape.. Stretch a spring on a meter stick: hold it parallel to the wall and then shoot the spring straight up. Do this several times until you can repeat a shot to go exactly m several times. Write down how far you stretched the spring. Get an assigned angle for your launch from your teacher. (TEACHER: assign 15, 30, 45) 3. Calculate the speed at which the spring is fired, using the equation v = ad. 4. Determine the vertical and horizontal components of the original velocity by using v vertical = vsin(angle) and v horizontal = v cos(angle). vvertical 5. Use the vertical velocity to find the flight time, t =. a 6. Use the flight time and the horizontal velocity to calculate the range d = v t. horizontal 7. Measure off this distance and shoot the spring using the same stretch. See how close you come to the measured distance. 10 PHYSICS 304 CURRICULUM GUIDE

### Experiment 2 Free Fall and Projectile Motion

Name Partner(s): Experiment 2 Free Fall and Projectile Motion Objectives Preparation Pre-Lab Learn how to solve projectile motion problems. Understand that the acceleration due to gravity is constant (9.8

### 5.1 Vector and Scalar Quantities. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude.

Projectile motion can be described by the horizontal ontal and vertical components of motion. In the previous chapter we studied simple straight-line motion linear motion. Now we extend these ideas to

### Projectile Motion 1:Horizontally Launched Projectiles

A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach? How much time will the clown spend in the air? Projectile Motion 1:Horizontally Launched Projectiles Two

### Projectile Motion Introduction:

Projectile Motion Introduction: A projectile is a body in free fall that is subject only to the forces of gravity (9.81ms ²) and air resistance. An object must be dropped from a height, thrown vertically

### Projectile Motion Vocabulary

Projectile Motion Vocabulary Term Displacement vector Definition Projectile trajectory range 1 Page What is a displacement vector? Displacement Vector of (10 m, 45 o ) 10 m θ = 45 o When you throw a ball

### Physics 2A Chapter 3: Kinematics in Two Dimensions. Problem Solving

Physics 2A Chapter 3: Kinematics in Two Dimensions The only thing in life that is achieved without effort is failure. Source unknown "We are what we repeatedly do. Excellence, therefore, is not an act,

### Projectile motion simulator. http://www.walter-fendt.de/ph11e/projectile.htm

More Chapter 3 Projectile motion simulator http://www.walter-fendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x

### Speed A B C. Time. Chapter 3: Falling Objects and Projectile Motion

Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.

### Projectile Motion & Conservation of Energy

Projectile Motion & Conservation of Energy Equipment Qty Item Part Number 1 Mini Launcher ME-6800 1 Metal Sphere Projectile 1 and 2 Meter Sticks 1 Large Metal Rod ME-8741 1 Small Metal Rod ME-8736 1 Support

### The quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:

Team: Projectile Motion So far you have focused on motion in one dimension: x(t). In this lab, you will study motion in two dimensions: x(t), y(t). This 2D motion, called projectile motion, consists of

### 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 =

### People s Physics book

The Big Idea In this chapter, we aim to understand and explain the parabolic motion of a thrown object, known as projectile motion. Motion in one direction is unrelated to motion in other perpendicular

### BROCK UNIVERSITY MATHEMATICS MODULES

BROCK UNIVERSITY MATHEMATICS MODULES 11A.4: Maximum or Minimum Values for Quadratic Functions Author: Kristina Wamboldt WWW What it is: Maximum or minimum values for a quadratic function are the largest

### 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.

### Uniformly Accelerated Motion

Uniformly Accelerated Motion Under special circumstances, we can use a series of three equations to describe or predict movement V f = V i + at d = V i t + 1/2at 2 V f2 = V i2 + 2ad Most often, these equations

### Vectors; 2-D Motion. Part I. Multiple Choice. 1. v

This test covers vectors using both polar coordinates and i-j notation, radial and tangential acceleration, and two-dimensional motion including projectiles. Part I. Multiple Choice 1. v h x In a lab experiment,

### 2) When you look at the speedometer in a moving car, you can see the car's.

Practice Kinematics Questions Answers are at the end Choose the best answer to each question and write the appropriate letter in the space provided. 1) One possible unit of speed is. A) light years per

### Phys 201 Fall 2009 Thursday, September 17, 2009 & Tuesday, September 19, Chapter 3: Mo?on in Two and Three Dimensions

Phys 201 Fall 2009 Thursday, September 17, 2009 & Tuesday, September 19, 2009 Chapter 3: Mo?on in Two and Three Dimensions Displacement, Velocity and Acceleration Displacement describes the location of

### Chapter 10: Linear Kinematics of Human Movement

Chapter 10: Linear Kinematics of Human Movement Basic Biomechanics, 4 th edition Susan J. Hall Presentation Created by TK Koesterer, Ph.D., ATC Humboldt State University Objectives Discuss the interrelationship

### Mary Lee McJimsey (Physics BSc) High School Physics Teacher North Central High School Spokane, WA

PHYSICIST PROFILE Mary Lee McJimsey (Physics BSc) High School Physics Teacher North Central High School Spokane, WA Attend Mary Lee McJimsey s high school physics class, and you may be surprised! Rather

### Claude Shannon s - No Drop Juggling Diorama

Juggling Figure 1: Types of Juggling Basics of Juggling Juggling started many centuries ago and in many different and distant civilizations. It was also developed independently at very early times in India.

### The quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:

Team: Projectile Motion So far you have focused on motion in one dimension: x(t). In this lab, you will study motion in two dimensions: x(t), y(t). This 2D motion, called projectile motion, consists of

### 6. Solve for x. Sides Have: Want: Function: ( ) =

Physics, Mr. Kent Daily Worksheet: Trig in Physics Name: 1. In we use three functions,,. 2. You re always given an and one and you re always asked to find. 3. Label the sides: 4. Provide the 3 trigonometric

### Summary Notes. to avoid confusion it is better to write this formula in words. time

National 4/5 Physics Dynamics and Space Summary Notes The coloured boxes contain National 5 material. Section 1 Mechanics Average Speed Average speed is the distance travelled per unit time. distance (m)

### Maximum Range Explained range Figure 1 Figure 1: Trajectory Plot for Angled-Launched Projectiles Table 1

Maximum Range Explained A projectile is an airborne object that is under the sole influence of gravity. As it rises and falls, air resistance has a negligible effect. The distance traveled horizontally

### 1 of 7 9/5/2009 6:12 PM

1 of 7 9/5/2009 6:12 PM Chapter 2 Homework Due: 9:00am on Tuesday, September 8, 2009 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment View]

### Chapter 4 Two-Dimensional Kinematics

Chapter 4 Two-Dimensional Kinematics Units of Chapter 4 Motion in Two Dimensions Projectile Motion: Basic Equations Zero Launch Angle General Launch Angle Projectile Motion: Key Characteristics 1 4-1 Motion

### MOTION (Chapter 2) Student Learning Objectives 2/11/2016. Compare and contrast terms used to describe motion Analyze circular and parabolic motion

MOTION (Chapter 2) https://www.youtube.com/watch?v=oxc-hhqldbe Student Learning Objectives Compare and contrast terms used to describe motion Analyze circular and parabolic motion PHYSICS:THE MOST FUNDAMENTAL

### Physics 160 Biomechanics. Projectiles

Physics 160 Biomechanics Projectiles What is a Projectile? A body in free fall that is subject only to the forces of gravity and air resistance. Air resistance can often be ignored in shot-put, long jump

### VECTOR AND PARAMETRIC MODELS OF PROJECTILE MOTION

VECTOR AND PARAMETRIC MODELS OF PROJECTILE MOTION by C. C. Edwards Coastal Carolina University, Conway, SC Edwards@coastal.edu (Please feel free to email me questions and /or comments.) Key Topic: Parametric,

### B) 286 m C) 325 m D) 367 m Answer: B

Practice Midterm 1 1) When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal velocity. This means that A) the acceleration is equal to g. B) the force of

### Catapult Engineering Pilot Workshop. LA Tech STEP 2007-2008

Catapult Engineering Pilot Workshop LA Tech STEP 2007-2008 Some Background Info Galileo Galilei (1564-1642) did experiments regarding Acceleration. He realized that the change in velocity of balls rolling

### Equations of Motion Introduction: Objectives: Methods:

Equations of Motion Introduction: The equations of motion are used to describe various components of a moving object. Displacement, velocity, time and acceleration are the kinematic variables that can

### Motion in One-Dimension

This test covers one-dimensional kinematics, including speed, velocity, acceleration, motion graphs, with some problems requiring a knowledge of basic calculus. Part I. Multiple Choice 1. A rock is released

### Projectile Motion. directions simultaneously. deal with is called projectile motion. ! An object may move in both the x and y

Projectile Motion! An object may move in both the x and y directions simultaneously! The form of two-dimensional motion we will deal with is called projectile motion Assumptions of Projectile Motion! The

### Chapter 3 Falling Objects and Projectile Motion

Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave?!does the object accelerate, or is the speed constant?!do two objects behave

### Passing and Catching the Basketball

Passing and Catching the Basketball The Five Passing Lanes Each game situation presents the possibility for one perfect pass. Imagine yourself faced by a defender crouched over in good defensive position.

### When we throw a ball :

PROJECTILE MOTION When we throw a ball : There is a constant velocity horizontal motion And there is an accelerated vertical motion These components act independently of each other PROJECTILE MOTION A

### 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

### Lab: Vectors. You are required to finish this section before coming to the lab. It will be checked by one of the lab instructors when the lab begins.

Lab: Vectors Lab Section (circle): Day: Monday Tuesday Time: 8:00 9:30 1:10 2:40 Name Partners Pre-Lab You are required to finish this section before coming to the lab. It will be checked by one of the

### Projectile motion with "measure Dynamics" TEP. Related topics Parabolic trajectory, uniformly accelerated motion, and ballistics

Projectile motion with "measure Dynamics" TEP Related topics Parabolic trajectory, uniformly accelerated motion, and ballistics Principle A steel sphere is launched by a ballistic unit and the resulting

### Projectile Motion. y - y o = v oy t - (1/2)gt 2 [2]

Projectile Motion In this experiment we will study motion in two-dimensions. An object which has motion in both the X and Y direction has a two dimensional motion. We will first determine at what velocity

### Assignment Work (Physics) Class :Xi Chapter :04: Motion In PLANE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Assignment Work (Physics) Class :Xi Chapter :04: Motion In PLANE State law of parallelogram of vector addition and derive expression for resultant of two vectors

### Physics 100A Homework 3 Chapter A sailboat runs before the wind with a constant speed of 4.5 m/s in a direction 32 north of west.

Phsics A Homework 3 Chapter 4 4. A sailboat runs before the wind with a constant speed of 4.5 m/s in a direction 3 north of west.. Picture the Problem: The ector inoled in this problem is depicted at right.

### Acceleration Introduction: Objectives: Methods:

Acceleration Introduction: Acceleration is defined as the rate of change of velocity with respect to time, thus the concepts of velocity also apply to acceleration. In the velocity-time graph, acceleration

### B) 40.8 m C) 19.6 m D) None of the other choices is correct. Answer: B

Practice Test 1 1) Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.60 s and reaches the level of the top of the pole after a total elapsed time

### 2008 FXA DERIVING THE EQUATIONS OF MOTION 1. Candidates should be able to :

Candidates should be able to : Derive the equations of motion for constant acceleration in a straight line from a velocity-time graph. Select and use the equations of motion for constant acceleration in

### Cartesian Coordinate System. Also called rectangular coordinate system x- and y- axes intersect at the origin Points are labeled (x,y)

Physics 1 Vectors Cartesian Coordinate System Also called rectangular coordinate system x- and y- axes intersect at the origin Points are labeled (x,y) Polar Coordinate System Origin and reference line

### PHYS 117- Exam I. Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

PHYS 117- Exam I Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Car A travels from milepost 343 to milepost 349 in 5 minutes. Car B travels

### Projectile Motion - Worksheet

Projectile Motion - Worksheet From the given picture; you can see a skateboarder jumping off his board when he encounters a rod. He manages to land on his board after he passes over the rod. 1. What is

### Physics Exam 1 Review - Chapter 1,2

Physics 1401 - Exam 1 Review - Chapter 1,2 13. Which of the following is NOT one of the fundamental units in the SI system? A) newton B) meter C) kilogram D) second E) All of the above are fundamental

### LAB 6 - GRAVITATIONAL AND PASSIVE FORCES

L06-1 Name Date Partners LAB 6 - GRAVITATIONAL AND PASSIVE FORCES OBJECTIVES And thus Nature will be very conformable to herself and very simple, performing all the great Motions of the heavenly Bodies

### 4 Linear Motion. You can describe the motion of an object by its position, speed, direction, and acceleration.

You can describe the motion of an object by its position, speed, direction, and acceleration. 4.1 Motion Is Relative An object is moving if its position relative to a fixed point is changing. 4.1 Motion

### 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

### Chapter 7: Momentum and Impulse

Chapter 7: Momentum and Impulse 1. When a baseball bat hits the ball, the impulse delivered to the ball is increased by A. follow through on the swing. B. rapidly stopping the bat after impact. C. letting

### Projectile Motion. Pre-lab Assignment. Pre-lab Questions and Exercises. Introduction. Projectile Motion

Projectile Motion Pre-lab Assignment Derive algebraic expressions for the range and total time-of-flight of a projectile launched with initial speed v o from a height h at an angle above horizontal. Hint:

### 4.1 Motion Is Relative. An object is moving if its position relative to a fixed point is changing.

4.1 Motion Is Relative You can describe the motion of an object by its position, speed, direction, and acceleration. An object is moving if its position relative to a fixed point is changing. 4.1 Motion

### Instructions. To run the slideshow:

Instructions To run the slideshow: Click: view full screen mode, or press Ctrl +L. Left click advances one slide, right click returns to previous slide. To exit the slideshow press the Esc key. Monkey

### Physics Unit 2: Projectile Motion

Physics Unit 2: Projectile Motion Jan 31 10:07 AM What is a projectile? A projectile is an object that is launched, or projected, by some means and continues on its own inertia. The path of the projectile

### Parabolic Projectile Paths

Parabolic Projectile Paths Subject Area(s) Associated Unit Associated Lesson Activity Title Header mathematics, physics None None Parabolic Projectile Paths Image 1 ADA Description: Students using experimental

### Lecture 4. Vectors. Motion and acceleration in two dimensions. Cutnell+Johnson: chapter ,

Lecture 4 Vectors Motion and acceleration in two dimensions Cutnell+Johnson: chapter 1.5-1.8, 3.1-3.3 We ve done motion in one dimension. Since the world usually has three dimensions, we re going to do

### 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

### PHYSICS AND ENGINEERING-MAY THE FORCE BE WITH YOU

PHYSICS AND ENGINEERING-MAY THE FORCE BE WITH YOU MAKING A MARVELLOUS MARSHMALLOW LAUNCHER Experiment Objective: Students will design and construct a catapult and use it as a marshmallow launcher. They

### Forces. Lecturer: Professor Stephen T. Thornton

Forces Lecturer: Professor Stephen T. Thornton Reading Quiz: Which of Newton s laws refers to an action and a reaction acceleration? A) First law. B) Second law. C) Third law. D) This is a trick question.

### Projectile Motion. Video Support Notes. Senior Secondary. 33mins. Physics. Video Education Australasia Bringing Learning to Life.

Video Education Australasia Bringing Learning to Life Video Support Notes Senior Secondary Projectile Motion 33mins Teacher Notes by Roy Preece Produced by Video Education Australasia Commissioning Editor

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed

### physics 111N motion in a plane

physics 111N motion in a plane position & displacement vectors ym! the position vector points from the origin to the object t2.83 s 15 10 5 0 5 10 15 xm we re plotting the plane (e.g. billiard table viewed

### 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

### PSS 27.2 The Electric Field of a Continuous Distribution of Charge

Chapter 27 Solutions PSS 27.2 The Electric Field of a Continuous Distribution of Charge Description: Knight Problem-Solving Strategy 27.2 The Electric Field of a Continuous Distribution of Charge is illustrated.

### All students entering this course in September of the school year are required to complete this assignment.

This course is equivalent to pre-engineering introductory Physics course for the university students. Comprehension of important physical concepts is emphasized in this course, together with development

### FREE FALL AND PROJECTILE MOTION

FREE FALL AND PROJECTILE MOTION 1 Let s review equations and then split them into X (horizontal) and Y (vertical). GENERAL HORIZONTAL VERTICAL V f = V i + aδt V fx = V ix + a x t V fy = V iy + a y t x

### One-Dimensional Kinematics

One-Dimensional Kinematics Copyright 2010 Pearson Education, Inc. Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A container explodes and breaks into three fragments that fly off 120 apart from each

### Lecture Presentation Chapter 3 Vectors and Motion in Two Dimensions

Lecture Presentation Chapter 3 Vectors and Motion in Two Dimensions Suggested Videos for Chapter 3 Prelecture Videos Vectors and Motion Projectile Motion Circular Motion Class Videos Motion on a Ramp Acceleration

### Lab 5: Conservation of Energy

Lab 5: Conservation of Energy Equipment SWS, 1-meter stick, 2-meter stick, heavy duty bench clamp, 90-cm rod, 40-cm rod, 2 double clamps, brass spring, 100-g mass, 500-g mass with 5-cm cardboard square

### PROJECTILE MOTION. Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion.

PROJECTILE MOTION Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion. Apparatus: Spring gun with ball, plumb bob, level, meter stick, target paper,

### Physics 2101, First Exam, Fall 2007

Physics 2101, First Exam, Fall 2007 September 4, 2007 Please turn OFF your cell phone and MP3 player! Write down your name and section number in the scantron form. Make sure to mark your answers in the

### Solving Problems (continued)

Solving Problems Solving Problems (continued) Concepts of Motion Topics: Motion diagrams Position and time Velocity Acceleration Vectors and motion Sample question: As this snowboarder moves in a graceful

### How does distance differ from displacement?

July-15-14 10:39 AM Chapter 2 Kinematics in One Dimension Newtonian mechanics: kinematics and dynamics Kinematics: mathematical description of motion (Ch 2, Ch 3) Dynamics: how forces affect motion (Ch

### 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,

### 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

### Chapter 4 - Forces and Newton s Laws of Motion w./ QuickCheck Questions

Chapter 4 - Forces and Newton s Laws of Motion w./ QuickCheck Questions 2015 Pearson Education, Inc. Anastasia Ierides Department of Physics and Astronomy University of New Mexico September 8, 2015 Review

### CHAPTER 2 TEST REVIEW -- ANSWER KEY

AP PHYSICS Name: Period: Date: 50 Multiple Choice 45 Single Response 5 Multi-Response Free Response 3 Short Free Response 2 Long Free Response DEVIL PHYSICS BADDEST CLASS ON CAMPUS AP EXAM CHAPTER TEST

### Computational Thinking and Simulation in Teaching Science and Mathematics

Computational Thinking and Simulation in Teaching Science and Mathematics Hasan Shodiev Abstract Characteristics of scientific phenomenon are commonly investigated using mathematical tools in science and

### Chapter 3 Practice Test

Chapter 3 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following is a physical quantity that has both magnitude and direction?

### 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

### 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

### Physics Honors Page 1

1. An ideal standard of measurement should be. variable, but not accessible variable and accessible accessible, but not variable neither variable nor accessible 2. The approximate height of a 12-ounce

### AP1 WEP. Answer: E. The final velocities of the balls are given by v = 2gh.

1. Bowling Ball A is dropped from a point halfway up a cliff. A second identical bowling ball, B, is dropped simultaneously from the top of the cliff. Comparing the bowling balls at the instant they reach

### Physics In Hockey. Zac Frischmon. May 4, Physics Pres. 1 Numerical Methods 1 / 22

Physics In Zac Frischmon May 4, 2014 Physics Pres. 1 Numerical Methods 1 / 22 Find Your Favorite Professors Physics Pres. 1 Numerical Methods 2 / 22 Variables 5 Trajectory of Shots Velocity Initial and

### Catching: The Squat Position

Catching: The Squat Position Although the catcher must possess a number of skills to be a complete player, the fact is the catcher spends most of the game receiving the ball from the pitcher. Many young

### Motion Graphs. It is said that a picture is worth a thousand words. The same can be said for a graph.

Motion Graphs It is said that a picture is worth a thousand words. The same can be said for a graph. Once you learn to read the graphs of the motion of objects, you can tell at a glance if the object in

### 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

### Educational Objectives Measure the acceleration due to gravity. Use different levels of technology for increasing accuracy.

Teacher s Notes Main Topic Subtopic Learning Level Technology Level Activity Type Motion Acceleration due to Gravity High Low-High Lab Description: Measure the acceleration due to gravity in up to three

### 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

### Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE

1 P a g e Motion Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE If an object changes its position with respect to its surroundings with time, then it is called in motion. Rest If an object

### Section 10.4: Motion in Space: Velocity and Acceleration

1 Section 10.4: Motion in Space: Velocity and Acceleration Velocity and Acceleration Practice HW from Stewart Textbook (not to hand in) p. 75 # 3-17 odd, 1, 3 Given a vector function r(t ) = f (t) i +

### Physics Section 3.2 Free Fall

Physics Section 3.2 Free Fall Aristotle Aristotle taught that the substances making up the Earth were different from the substance making up the heavens. He also taught that dynamics (the branch of physics