Projectile Motion. y - y o = v oy t - (1/2)gt 2 [2]
|
|
- Lee Allen
- 7 years ago
- Views:
Transcription
1 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 the ball is being fired from the firing mechanism, and then with this knowledge and some calculations. Determine how far the ball will travel when it is fired at an angle other than the horizontal. Theory: In introductory physics courses, a projectile is an object which is given some initial velocity, v 0, and thereafter, subjected only to gravity. This definition of a projectile assumes that no force due to air resistance is acting on the projectile. This assumption is approximately valid if the velocity of the projectile is relatively small (less than 10 meters/sec) and the cross-sectional area of the object is small, which will be the case in this experiment. Since gravity is the only force assumed to act on the object after it is given its initial velocity, the object will be in free-fall in the vertical direction, and will move with a constant velocity in the horizontal direction. Consider an object projected horizontally with a velocity, v ox, from some initial height, H, above the floor, as sketched below. The object will travel a horizontal distance, R, during the time it falls a vertical distance, H. Since the velocity in the horizontal direction is constant, R = v 0X t [1] v ox Where t is the time that the object is in flight (which is also the time it takes the object to fall a distance H). H In free fall, the vertical distance moved during a time interval, t, is given by the equation, R y - y o = v oy t - (1/2)gt 2 [2] where y o is the initial position of the object, g is the acceleration due to gravity (about 9.8 m/sec 2 ), and v oy is the initial velocity of the object in the vertical (y) direction. In equation [2], up is taken as the positive direction, and down is
2 the negative direction. For the case of an object propelled horizontally, v oy is zero (no component of initial velocity up or down). If the object is initially propelled from a height H above the floor, (y o = H) then at a later time it hits the floor, and y = 0. Thus, from equation [2], and the time of flight is H 1 2 t 2 / gt [3] 2 H/ g [4] The initial velocity of the projectile can then be calculated from equation [1]. Projectile Fired at Angle above the Horizontal: Consider a projectile projected with an initial velocity, v o, at angle above the horizontal at height, H, above the floor, as sketched. v o v ox Figure 5-3 H The range, R, the projectile travels can be found using kinematics equations. R First, the initial velocity v o is broken down to its initial horizontal and vertical velocities, v ox = v o cos, v oy = v o sin. By rewriting equation [2] for the figure aboveit yields equation [5]. The term y o is replaced by the term H, which is the height from the floor to the bottom of the projectile, and is shown in figure 5-3. The term v oy is the initial vertical velocity of the projectile. Using the floor as the reference point the term y can be given a value of zero. -1/2 gt 2 + v oy t + H = 0 [5]
3 Equation [5] is a second order polynomial and time, t, can be found using the quadratic equation. 0 = at 2 + bt + c t b b 2a 2 4ac Once a time is found the range, R, is the initial horizontal velocity, v ox, multiplied by the time. See equation [1]. : Initial Velocity from the Range of Projectile Fired Horizontally. Setting up the apparatus 1. Using the two thumb screws mount the ME-6800 projectile launcher near the bottom of the ME-6831 ballistic pendulum so that it seats within the two parallel horizontal grooves. Tighten the screws enough that it doesn t wobble within the grooves. Please do not over tighten these screws. Initial measurements. 2. Move the launcher to the end of the table so that the side of the launcher is parallel to the edge of the table. Examine the launcher and notice that at the end of the launcher is a circle which is used to represent the projectile. This is the point at which the projectile leaves the launcher and where all the following length measurements will be made. Use the meter stick and measure the height, H, from the floor to the bottom of the circle shown on the launcher. Think about it, does the center of the ball hit the floor or the bottom of the ball. Finding landing location 3 Assign a lab partner as a spotter his/her duties is to mark where the ball lands. Assign another lab partner as a chaser he/she will track down the ball once it strikes the floor. Rotate the launcher so that it faces into the room, and the front edge of the base plate is at the edge of the table. Use the plunge to load the ball into the mechanism to the desired range. Ensure that the ball remains seated in the mechanism and does not roll into the barrel and if necessary reseat the ball. When all is ready release the projectile by pulling up on the tie wrap attached to the trigger. The spotter should mark the location with a coin or tape. The chaser should retrieve the ball.
4 Preparing the target area. 4 From the center table obtain a sheet of the computer paper, only one sheet is needed. Tape this sheet at the corners to the floor at the location where the ball landed. This will be your target. Assure that the center of the target is where the ball landed. Repeat step 3. When the ball strikes this sheet, it will leave an imprint. Verify that the ball strikes the target. If it doesn t reposition the target. For this method the Range is vital. The better the measurement of the range the more the calculated velocity can be trusted. Our method outlined in the following steps divides the range into 3 parts that 2 can be easily measured and 1 part will be given. You are free to ignore them and follow whatever method you prefer to determine the range, however be for warned while you are not graded on what method you use your grade is determined by how you score on the grading target. More measurements 5. Measure the distance from the edge of the paper to the edge of the target Record this value as d 2. Mark on the target which edge you made the measurement to. More launches 6. Repeat step 3 to obtain 5 data positions, imprints, on the paper. There is no need to make any measurements at this time. One more set of measurements 7. Carefully remove the paper from the floor. Please also remove any remaining tape scraps. Take the paper to the table and measure from the marked edge to each imprint. Record each distance into the Data Table 2. Find the average value for d 3. Finding the Range, time and velocity 8. Assuming that the launcher was position as directed in step 3. Add the values d 1, d 2 and d 3 this is the range of the projectile, R. Use equation [11] and find time t. Velocity is range divided by time.
5 Data Distance, d 1, distance from where the ball leaves the launcher to the edge of the base plate = m Shot 1 Shot 2 Shot 3 Shot 4 Shot 5 Ave = d 2. d 2 = d 3 = 4) The range the ball travel horizontally R = d 1 + d 2 + d 3. and the height the ball fell vertically is H = R = 5) Use the equation the air. t 2H where g = 9.8 m/s g 2. to find the total time the ball was in Use t, to find the velocity from the equation R = v * t. t = v =
6 Finding a Range for an angle other than zero degrees. Setting up the Apparatus 1. Ask you instructor for an angle. Remove the projectile launcher from the ballistic pendulum. Examine the picture to the right. The launcher will be mounted on the opposite side of the apparatus as shown in the picture. Secure the projectile launcher near the top of the ballistic pendulum; the front will be secured using the single hole near the top of the apparatus. The rear of the projectile launcher will be secured using the curved slot. Set the angle you were given by loosening the rear screw of projectile launcher and lower it until the string with the plumb indicates the desired angle. From the previously determined velocity find the x and y components v x and v y. = v x = v cos = m/s v y = v sin = m/s 2. Measure in meters the height, H, from the floor to the bottom of the depiction of the ball launching position. (Remember the bottom of the ball hits the ground first). H = m 3. To determine the time of flight for the projectile use the equation y = H + v y sin t (g/2)t 2 0 = c + b(t) + (-a)(t) 2 If we set the point of impact (the floor) as zero then y = 0 in the equation above. The quadratic equation can be used to determined t. b b 2 4ac t = t 2a v y sin (v y sin ) 2( g / 2) 2 4( g / 2)H a = b = c = t = s
7 4. Once the time of flight is determine, calculate the range, R, of the projectile. R = v x * t = m 5. Measure off your predicted range. Mark this point with tape or a coin. Notify your instructor that you are ready to take your shot. Once given the scoring target place the 100 at where you have marked your range. Load the projectile. Do not forget to use the same setting. SCORE! 6. Fire the projectile as the instructor looks on. Where the projectile strikes is your grade for the lab.
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 3: PROJECTILE MOTION
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 3: PROJECTILE MOTION Objective: To understand the motion of a projectile in the earth s gravitational field and measure the muzzle velocity of the projectile
More informationExperiment 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
More informationProjectile 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
More informationLab 8: Ballistic Pendulum
Lab 8: Ballistic Pendulum Equipment: Ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale. Caution In this experiment a steel ball is projected horizontally
More informationProjectile 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
More informationAcceleration due to Gravity
Acceleration due to Gravity 1 Object To determine the acceleration due to gravity by different methods. 2 Apparatus Balance, ball bearing, clamps, electric timers, meter stick, paper strips, precision
More informationB) 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
More informationSpeed 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.
More informationACCELERATION DUE TO GRAVITY
EXPERIMENT 1 PHYSICS 107 ACCELERATION DUE TO GRAVITY Skills you will learn or practice: Calculate velocity and acceleration from experimental measurements of x vs t (spark positions) Find average velocities
More informationProjectile Motion THEORY. r s = s r. t + 1 r. a t 2 (1)
Projectile Motion The purpose of this lab is to study the properties of projectile motion. From the motion of a steel ball projected horizontally, the initial velocity of the ball can be determined from
More information1 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]
More informationChapter 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
More informationWWW.MIAMI-BEST-MATH-TUTOR.COM E-MAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)556-4839 PHYSICS I
WWW.MIAMI-BEST-MATH-TUTOR.COM PAGE 1 OF 10 WWW.MIAMI-BEST-MATH-TUTOR.COM E-MAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)556-4839 PHYSICS I PROJECTILE MOTION 4.1 1. A physics book slides off a horizontal
More informationThe Bullet-Block Mystery
LivePhoto IVV Physics Activity 1 Name: Date: 1. Introduction The Bullet-Block Mystery Suppose a vertically mounted 22 Gauge rifle fires a bullet upwards into a block of wood (shown in Fig. 1a). If the
More informationPhysics 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
More informationC 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 informationMaximum 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
More informationFREE FALL. Introduction. Reference Young and Freedman, University Physics, 12 th Edition: Chapter 2, section 2.5
Physics 161 FREE FALL Introduction This experiment is designed to study the motion of an object that is accelerated by the force of gravity. It also serves as an introduction to the data analysis capabilities
More informationExperiment 2: Conservation of Momentum
Experiment 2: Conservation of Momentum Learning Goals After you finish this lab, you will be able to: 1. Use Logger Pro to analyze video and calculate position, velocity, and acceleration. 2. Use the equations
More informationCatapult 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
More informationWeb review - Ch 3 motion in two dimensions practice test
Name: Class: _ Date: _ Web review - Ch 3 motion in two dimensions practice test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which type of quantity
More informationDetermining the Acceleration Due to Gravity
Chabot College Physics Lab Scott Hildreth Determining the Acceleration Due to Gravity Introduction In this experiment, you ll determine the acceleration due to earth s gravitational force with three different
More information1 One Dimensional Horizontal Motion Position vs. time Velocity vs. time
PHY132 Experiment 1 One Dimensional Horizontal Motion Position vs. time Velocity vs. time One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration
More informationPHY231 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 informationNewton s Second Law. ΣF = m a. (1) In this equation, ΣF is the sum of the forces acting on an object, m is the mass of
Newton s Second Law Objective The Newton s Second Law experiment provides the student a hands on demonstration of forces in motion. A formulated analysis of forces acting on a dynamics cart will be developed
More informationAccelerometers: Theory and Operation
12-3776C Accelerometers: Theory and Operation The Vertical Accelerometer Accelerometers measure accelerations by measuring forces. The vertical accelerometer in this kit consists of a lead sinker hung
More informationAcceleration of Gravity Lab Basic Version
Acceleration of Gravity Lab Basic Version In this lab you will explore the motion of falling objects. As an object begins to fall, it moves faster and faster (its velocity increases) due to the acceleration
More informationCHAPTER 6 WORK AND ENERGY
CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS. REASONING AND SOLUTION The work done by F in moving the box through a displacement s is W = ( F cos 0 ) s= Fs. The work done by F is W = ( F cos θ). s From
More informationOne- and Two-dimensional Motion
PHYS-101 LAB-02 One- and Two-dimensional Motion 1. Objective The objectives of this experiment are: to measure the acceleration of gravity using one-dimensional motion to demonstrate the independence of
More informationChapter 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
More informationUniformly 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
More informationExam 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 informationChapter 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?
More informationChapter 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 informationwww.mathsbox.org.uk Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx Acceleration Velocity (v) Displacement x
Mechanics 2 : Revision Notes 1. Kinematics and variable acceleration Displacement (x) Velocity (v) Acceleration (a) x = f(t) differentiate v = dx differentiate a = dv = d2 x dt dt dt 2 Acceleration Velocity
More information3. KINEMATICS IN TWO DIMENSIONS; VECTORS.
3. KINEMATICS IN TWO DIMENSIONS; VECTORS. Key words: Motion in Two Dimensions, Scalars, Vectors, Addition of Vectors by Graphical Methods, Tail to Tip Method, Parallelogram Method, Negative Vector, Vector
More informationAP Physics C. Oscillations/SHM Review Packet
AP Physics C Oscillations/SHM Review Packet 1. A 0.5 kg mass on a spring has a displacement as a function of time given by the equation x(t) = 0.8Cos(πt). Find the following: a. The time for one complete
More informationEXPERIMENT 3 Analysis of a freely falling body Dependence of speed and position on time Objectives
EXPERIMENT 3 Analysis of a freely falling body Dependence of speed and position on time Objectives to verify how the distance of a freely-falling body varies with time to investigate whether the velocity
More informationEXPERIMENT 2: FREE FALL and PROJECTILE MOTION
TA name Lab section Date TA Initials (on completion) Name UW Student ID # Lab Partner(s) EXPERIMENT 2: FREE FALL and PROJECTILE MOTION ONE AND TWO-DIMENSIONAL KINEMATICS WITH GRAVITY 117 Textbook Reference:
More informationACCELERATION DUE TO GRAVITY
ACCELERATION DUE TO GRAVITY Objective: To measure the acceleration of a freely falling body due to gravitational attraction. Apparatus: Computer with Logger Pro, green Vernier interface box, picket fence
More informationThe purposes of this experiment are to test Faraday's Law qualitatively and to test Lenz's Law.
260 17-1 I. THEORY EXPERIMENT 17 QUALITATIVE STUDY OF INDUCED EMF Along the extended central axis of a bar magnet, the magnetic field vector B r, on the side nearer the North pole, points away from this
More informationLab 7: Rotational Motion
Lab 7: Rotational Motion Equipment: DataStudio, rotary motion sensor mounted on 80 cm rod and heavy duty bench clamp (PASCO ME-9472), string with loop at one end and small white bead at the other end (125
More informationWork-Energy Bar Charts
Name: Work-Energy Bar Charts Read from Lesson 2 of the Work, Energy and Power chapter at The Physics Classroom: http://www.physicsclassroom.com/class/energy/u5l2c.html MOP Connection: Work and Energy:
More informationAP 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 informationIII. 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 informationPHY121 #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 informationPHY231 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 informationFree Fall: Observing and Analyzing the Free Fall Motion of a Bouncing Ping-Pong Ball and Calculating the Free Fall Acceleration (Teacher s Guide)
Free Fall: Observing and Analyzing the Free Fall Motion of a Bouncing Ping-Pong Ball and Calculating the Free Fall Acceleration (Teacher s Guide) 2012 WARD S Science v.11/12 OVERVIEW Students will measure
More information10.1. Solving Quadratic Equations. Investigation: Rocket Science CONDENSED
CONDENSED L E S S O N 10.1 Solving Quadratic Equations In this lesson you will look at quadratic functions that model projectile motion use tables and graphs to approimate solutions to quadratic equations
More informationReview Assessment: Lec 02 Quiz
COURSES > PHYSICS GUEST SITE > CONTROL PANEL > 1ST SEM. QUIZZES > REVIEW ASSESSMENT: LEC 02 QUIZ Review Assessment: Lec 02 Quiz Name: Status : Score: Instructions: Lec 02 Quiz Completed 20 out of 100 points
More information2008 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
More informationRotational Inertia Demonstrator
WWW.ARBORSCI.COM Rotational Inertia Demonstrator P3-3545 BACKGROUND: The Rotational Inertia Demonstrator provides an engaging way to investigate many of the principles of angular motion and is intended
More informationLesson 3 - Understanding Energy (with a Pendulum)
Lesson 3 - Understanding Energy (with a Pendulum) Introduction This lesson is meant to introduce energy and conservation of energy and is a continuation of the fundamentals of roller coaster engineering.
More informationPolynomial Degree and Finite Differences
CONDENSED LESSON 7.1 Polynomial Degree and Finite Differences In this lesson you will learn the terminology associated with polynomials use the finite differences method to determine the degree of a polynomial
More informationCS100B Fall 1999. Professor David I. Schwartz. Programming Assignment 5. Due: Thursday, November 18 1999
CS100B Fall 1999 Professor David I. Schwartz Programming Assignment 5 Due: Thursday, November 18 1999 1. Goals This assignment will help you develop skills in software development. You will: develop software
More informationLecture 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 informationSimple Harmonic Motion
Simple Harmonic Motion 1 Object To determine the period of motion of objects that are executing simple harmonic motion and to check the theoretical prediction of such periods. 2 Apparatus Assorted weights
More informationMidterm Exam 1 October 2, 2012
Midterm Exam 1 October 2, 2012 Name: Instructions 1. This examination is closed book and closed notes. All your belongings except a pen or pencil and a calculator should be put away and your bookbag should
More informationDetermination of Acceleration due to Gravity
Experiment 2 24 Kuwait University Physics 105 Physics Department Determination of Acceleration due to Gravity Introduction In this experiment the acceleration due to gravity (g) is determined using two
More informationPhysics 590 Homework, Week 6 Week 6, Homework 1
Physics 590 Homework, Week 6 Week 6, Homework 1 Prob. 6.1.1 A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 35 m/s. At the same time it has a horizontal
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 informationv v ax v a x a v a v = = = Since F = ma, it follows that a = F/m. The mass of the arrow is unchanged, and ( )
Week 3 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution
More informationPS-6.2 Explain the factors that determine potential and kinetic energy and the transformation of one to the other.
PS-6.1 Explain how the law of conservation of energy applies to the transformation of various forms of energy (including mechanical energy, electrical energy, chemical energy, light energy, sound energy,
More informationConservation of Energy Physics Lab VI
Conservation of Energy Physics Lab VI Objective This lab experiment explores the principle of energy conservation. You will analyze the final speed of an air track glider pulled along an air track by a
More informationChapter 9. particle is increased.
Chapter 9 9. Figure 9-36 shows a three particle system. What are (a) the x coordinate and (b) the y coordinate of the center of mass of the three particle system. (c) What happens to the center of mass
More informationPHYS 211 FINAL FALL 2004 Form A
1. Two boys with masses of 40 kg and 60 kg are holding onto either end of a 10 m long massless pole which is initially at rest and floating in still water. They pull themselves along the pole toward each
More informationStudy Guide for Mechanics Lab Final
Study Guide for Mechanics Lab Final This study guide is provided to help you prepare for the lab final. The lab final consists of multiple-choice questions, usually 2 for each unit, and 4 work-out problems
More informationMULTIPLE 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
More informationPhysics 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 informationBICYCLE PUMP AIR PRESSURE ROCKETS Credit: Jeff Elmer, Physics Teacher, Oshkosh North High School
BICYCLE PUMP AIR PRESSURE ROCKETS Credit: Jeff Elmer, Physics Teacher, Oshkosh North High School Concepts Illustrated: (1) Forced air flight and Newton s 3 rd Law (2) Stability and aerodynamics of rocket
More informationForce on Moving Charges in a Magnetic Field
[ Assignment View ] [ Eðlisfræði 2, vor 2007 27. Magnetic Field and Magnetic Forces Assignment is due at 2:00am on Wednesday, February 28, 2007 Credit for problems submitted late will decrease to 0% after
More informationAP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?
1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The
More informationPROBLEM SET. Practice Problems for Exam #1. Math 2350, Fall 2004. Sept. 30, 2004 ANSWERS
PROBLEM SET Practice Problems for Exam #1 Math 350, Fall 004 Sept. 30, 004 ANSWERS i Problem 1. The position vector of a particle is given by Rt) = t, t, t 3 ). Find the velocity and acceleration vectors
More informationProblem Set 5 Work and Kinetic Energy Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department o Physics Physics 8.1 Fall 1 Problem Set 5 Work and Kinetic Energy Solutions Problem 1: Work Done by Forces a) Two people push in opposite directions on
More informationPhysics 2048 Test 1 Solution (solutions to problems 2-5 are from student papers) Problem 1 (Short Answer: 20 points)
Physics 248 Test 1 Solution (solutions to problems 25 are from student papers) Problem 1 (Short Answer: 2 points) An object's motion is restricted to one dimension along the distance axis. Answer each
More informationSpeed-Mat Rectangle Cutter
Speed-Mat Rectangle Cutter 1 Honeycomb baseboard. 2 Left hold down. 14 3 Bottom hold down. 4 4 Left / right rule. 8 5 8 5 Left / right rule pointer. 1 6 Top / bottom rule. 7 Top / bottom rule pointer.
More informationPhysics 1120: Simple Harmonic Motion Solutions
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Physics 1120: Simple Harmonic Motion Solutions 1. A 1.75 kg particle moves as function of time as follows: x = 4cos(1.33t+π/5) where distance is measured
More informationWork and Energy. W =!KE = KE f
Activity 19 PS-2826 Work and Energy Mechanics: work-energy theorem, conservation of energy GLX setup file: work energy Qty Equipment and Materials Part Number 1 PASPORT Xplorer GLX PS-2002 1 PASPORT Motion
More informationEQUIPMENT SET UP RECURVE BOW
EQUIPMENT SET UP RECURVE BOW Archery Australia Inc Coaching and Standards Committee Proudly Sponsored By EQUIPMENT SET UP RECURVE BOW It is important that equipment to be used must be set up correctly
More informationNewton s Laws. Physics 1425 lecture 6. Michael Fowler, UVa.
Newton s Laws Physics 1425 lecture 6 Michael Fowler, UVa. Newton Extended Galileo s Picture of Galileo said: Motion to Include Forces Natural horizontal motion is at constant velocity unless a force acts:
More informationA Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion
A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion Objective In the experiment you will determine the cart acceleration, a, and the friction force, f, experimentally for
More informationExam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis
* By request, but I m not vouching for these since I didn t write them Exam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis There are extra office hours today & tomorrow Lots of practice exams
More informationPhysics 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
More informationPhysics 125 Practice Exam #3 Chapters 6-7 Professor Siegel
Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel Name: Lab Day: 1. A concrete block is pulled 7.0 m across a frictionless surface by means of a rope. The tension in the rope is 40 N; and the
More informationMidterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m
Midterm Solutions I) A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel a solid disc) of mass M, radius R, anchored at its center but free to rotate i) Which of
More informationLAB 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
More information2After completing this chapter you should be able to
After completing this chapter you should be able to solve problems involving motion in a straight line with constant acceleration model an object moving vertically under gravity understand distance time
More informationWEIGHTLESS WONDER Reduced Gravity Flight
WEIGHTLESS WONDER Reduced Gravity Flight Instructional Objectives Students will use trigonometric ratios to find vertical and horizontal components of a velocity vector; derive a formula describing height
More informationWhat is a Mouse-Trap
What is a Mouse-Trap Car and How does it Work? A mouse-trap car is a vehicle that is powered by the energy that can be stored in a wound up mouse-trap spring. The most basic design is as follows: a string
More informationSimple Machines. Figure 2: Basic design for a mousetrap vehicle
Mousetrap Vehicles Figure 1: This sample mousetrap-powered vehicle has a large drive wheel and a small axle. The vehicle will move slowly and travel a long distance for each turn of the wheel. 1 People
More informationXPULT INSTRUCTIONS BASIC VERSION
XPULT INSTRUCTIONS BASIC VERSION The Xpult is a device for launching table tennis balls or other light plastic balls. Most likely, you will have received the Xpult from your teacher or somebody else who
More informationSolutions to old Exam 1 problems
Solutions to old Exam 1 problems Hi students! I am putting this old version of my review for the first midterm review, place and time to be announced. Check for updates on the web site as to which sections
More informationWork Energy & Power. September 2000 Number 05. 1. Work If a force acts on a body and causes it to move, then the force is doing work.
PhysicsFactsheet September 2000 Number 05 Work Energy & Power 1. Work If a force acts on a body and causes it to move, then the force is doing work. W = Fs W = work done (J) F = force applied (N) s = distance
More information8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential
8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential energy, e.g. a ball in your hand has more potential energy
More informationChapter #7 Giancoli 6th edition Problem Solutions
Chapter #7 Giancoli 6th edition Problem Solutions ü Problem #8 QUESTION: A 9300 kg boxcar traveling at 5.0 m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 6.0 m/s.
More informationENERGYand WORK (PART I and II) 9-MAC
ENERGYand WORK (PART I and II) 9-MAC Purpose: To understand work, potential energy, & kinetic energy. To understand conservation of energy and how energy is converted from one form to the other. Apparatus:
More informationPractice Test SHM with Answers
Practice Test SHM with Answers MPC 1) If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one
More informationTeacher Guide. Including Student Activities. Module 1: Tracing Energy Transformations
Teacher Guide Including Student Activities Module 1: Tracing Energy Transformations ACTIVITY GUIDE Module 1: Tracing Energy Transformations Summary: We use energy on a daily basis. We use it to make our
More informationChapter 6 Work and Energy
Chapter 6 WORK AND ENERGY PREVIEW Work is the scalar product of the force acting on an object and the displacement through which it acts. When work is done on or by a system, the energy of that system
More informationPhysics 201 Homework 8
Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 N-m is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kg-m 2. What is the
More information