LAB 4: LINEAR MOMENTUM AND KINETIC ENERGY
|
|
- Mervyn McLaughlin
- 7 years ago
- Views:
Transcription
1 LAB 4: LINEAR MOMENTUM AND KINETIC ENERGY The object of this experiment is to investigate the conservation of linear momentum and the conservation of kinetic energy in elastic collisions. We will study collisions between two air track gliders. Velocity measurements are used to study a complicated mechanical event: the collision of two bodies and its effect on their motion. Motions are restricted to a single straight line, and forces other than those of mutual interaction are minimized by the use of the air track. The object is to observe transformations of momentum and energy under various conditions of collision. REFERENCES: Kestin and Tank, University Physics, Vol. (0), Chapter 7; Physics 0030 Laboratory Measurements. BASIS OF EXPERIMENT The physics of one-dimensional collisions is presented in the reference text. Referring to the system consisting of the two interacting bodies only, the governing principles are: () If no forces act on the system other than the ones that the parts of the system exert on each other, the system's total momentum remains constant and the total energy of the system remains constant (conservation of total momentum and energy for isolated system); this is true for both conservative and non-conservative forces. () If the forces acting between parts of the system are entirely conservative, both the mechanical energy (kinetic plus potential) and the internal energy (heat and chemical forms) of the system remain constant. Principle () implies that if the internal forces are non-conservative, the changes in mechanical and internal energy will be equal in magnitude and opposite in sign (i.e. the increase in internal energy will equal the decrease in the mechanical energy). Momentum and total energy are conserved for both conservative and non-conservative forces. In a one-dimensional system, the vector momentum reduces to an algebraic number whose sign denotes its direction according to a consistent designated convention. The energy is a scalar, as always. Since the two bodies of the system do not interact with each other except when in contact, there is no potential energy in the system at times when the 400
2 objects are separated. At such times, the system's mechanical energy is its kinetic energy only. The different possibilities to which the principles apply are designated by names given to different types of collisions: An elastic collision is one in which the internal forces are conservative, so that both mechanical and internal energy separately stay constant throughout the collision; An inelastic collision is one in which at least part of the interaction force is nonconservative, so that both mechanical and internal energies change. An endothermic collision is one in which mechanical energy decreases and internal energy increases, that is, mechanical is converted into internal energy (usually heat). A perfectly inelastic collision is an endothermic one in which the maximum possible amount of mechanical energy is converted into internal energy; it is a collision in which the two bodies stick together and move as a unit after the event. Some of these types of collisions will be investigated in this experiment. In all types of collisions, momentum is conserved. Momentum conservation for a twobody system is expressed in Eq.(), where the m s are masses and υ s are vector velocities, and the subscripts refer to bodies and respectively. The primed velocities are those of the bodies after collision, and the unprimed are velocities before collision. Momentum before collision = Momentum after collision () m v + mv = mv + mv The conservation of kinetic energy (which is conditionally conserved) is expressed in Eq.(): () m v + mv = m ( v) + m ( v ) In these equations, the left side refers to any time before the collision of bodies and, and the right side refers to any time after the collision. Once the system is defined for - dimensional motion, all velocities in one designated direction are positive numbers in the equations, and all in the reverse direction are negative numbers. The signs of the velocities are essential in Eq.(), a vector equation. In Eq. (), where only the squares of the velocities occur, the vector direction no longer enters -- the energy is a scalar, not a vector quantity. 400
3 PLAN OF THE EXPERIMENT The low friction air track is the same as has previously been used. In order to observe collisions between unequal as well as equal masses, three gliders are needed - two of about the same mass, and one of a different mass. You are to measure glider masses at the start, and use the same gliders throughout the experiment without changing their weights. Elastic collision of the gliders is achieved by setting them on the track with elastic bumpers facing one another. Inelastic collisions are arranged by modifying the facing ends of the gliders with a pin and putty attachments. The photoelectric timer as used here is operated in gate mode; it reads in milliseconds (thousandths of a second) the time during which the light beam is interrupted, from which the glider's speed in passing the beam can be directly calculated. For this experiment, each glider has been fitted with a precise 0 cm aluminum mask, painted black, and it is this mask, rather than the body of the glider, that interrupts the light beam. Thus the velocity of any of the gliders is = 0 cm divided by the reading of the traversal time. (No correction for acceleration is needed; gliders move with constant velocity both before and after the collision. The Procedure provides for checking and ensuring this.) Two photocell bridges, one on each side of the collision area, are used (Fig. ). Each is connected to its own timer. Thus each timer, operating in the gate mode, starts when the light of its own photocell is interrupted and stops when the light is resumed. If the timer is not reset between two interruptions, the time interval of the second interruption (after collision) is added on to that of the previous interruption (before collision). The photobridges should be placed so that you can note the first reading before the number is changed by a second passage. You should not reset during the collision -- you could miss counts by trying to reset. Practice a bit to be sure you can do the readings as required. Alternatively the Pasco ME-95A timers have a memory feature that can be used to store a second glider transit time. To use this memory feature set the toggle switch to MEMORY ON, a red light should go on. Press RESET. Make the two measurements. The timer will display the first measurement. Record this. Press switch to READ to get the TOTAL of the first and second measurement. Subtract the first measurement from the total to get the second measurement. Note a nice summary of the Pasco ME-95A photogate timer operating instructions appears on the bottom of each unit. PROCEDURE First weigh the two gliders and record the weights. Weights should be measured on gliders complete with masks and whatever trimming weights have been added - no changing of masses is called for here. Since we want the collisions to happen in the absence of all external forces, it is important that the track be perfectly horizontal and as frictionless as practical. To check 400 3
4 the condition of your track, send one glider to your right and note the time it takes to cross each of two photocells placed one meter apart (and operated in gate mode). The difference between the two times divided by the time it took to cross the first photocell will give you the fraction of the momentum lost due to friction and gained (or lost) because of gravity. Repeat, the above procedure, this time sending the glider to your left. Check for consistency by again sending it to the right and then left. Before making any adjustments in the air track level, see the Supplementary Procedure Section below. There is always a small amount of friction, which will lead to some time increase in the downstream'' counter. The important points are that the increases should be small, and especially that the percentage increase in a downstream counter be the same, for all practical purposes, whether you are looking at left-to-right, or right-to-left motion. To eliminate the effect of gravity, you may need to adjust the track level in small (e.g. quarter-turn) increments using the single large screw at one end of the track. Do not touch any other adjustment screws. Note that there may be washers to fix the position of the track on the table. Stay at that position, since the air track, observed over a long period, has been adjusted to be much more level than the table itself. You should be able to adjust the track so that the loss in velocity is no greater than two-percent and the same (essentially) in either direction. Readjust as necessary during the course of the experiment. The Various possible collisions, such as a heavy and a light weight glider meeting head on, a heavy hitting a light at rest, a light hitting a light at rest, all with springy'' bumpers (elastic), and a heavy hitting a light at rest with pin and putty bumpers (inelastic) are detailed in the Data section. More details about the Procedure, especially about achieving elastic and inelastic interactions, are given below: SUPPLEMENTARY PROCEDURE NOTES Detailed Cautionary Notes and Explanations A. Do Not Change Transverse Track Level Special leveling methods have been used to correct an assembly error made on several air tracks. Because of the error, the base of the track is no longer necessarily horizontal in the transverse direction when the triangular air tube (the traveling surface for gliders) is horizontal. The tubes have been leveled transversely; do not pay attention to obvious skewness in the crossbeam and I-beam of the tracks. Do make adjustments (as you find it necessary as described above) to the single leveling screw that levels the track along the direction of the glider motion. B. Special Collision Hardware on the Gliders 400 4
5 READ C. BEFORE HANDLING GLIDERS Each glider in this experiment has been fitted with light plastic hardware in such a way that the glider mass remains balanced and constant whether it is used in elastic or inelastic collisions. Inelastic bumpers (sticky bumpers) have pin and putty attachments mounted on them; when two gliders collide with these bumpers mounted, they stick together, making a perfectly inelastic collision. C. Additional Handling Care Please do not handle the gliders by their masks. Do not disturb the trimming weights. Remove a glider completely from the track in order to fit or remove the inelastic bumpers. It is highly recommended that all the elastic collisions called for be done in series, followed by inelastic collisions. This minimizes the time spent in refitting bumpers at the ends of the gliders. Remember that the air cushion is easily broken, which introduces an external force (track friction) and invalidates propositions () and () on page. Therefore the collisions should be gentle and the initial velocities given to the gliders fairly small. D. Glider Masses Weigh each glider with bumpers on, and the ten-centimeter mask mounted. Figure DATA This is not a data sheet to be filled in - it's meant as a guide
6 DATA MUST BE WRITTEN DIRECTLY INTO YOUR LAB NOTEBOOK. OBSERVE ALL THE CAUTIONS LISTED IN THE PROCEDURE SECTION AND SUPPLEMENTARY PROCEDURE NOTES ABOVE.. Check that track is level in the direction parallel to the direction of motion as described in Procedure section, by comparing traversal times through photogates for a glider moving in each direction. When the level adjustment is complete, record the following: Glider Moving to Right t =, t =, Glider Moving to Left t =, t =, to show that the track is level within acceptable limits as described above. Repeat this to check the level, between collisions, and adjust the level if necessary.. Mass Data Three gliders, two light, one heavy. 3. Collision Data The kinds of collisions to be studied are listed below, with the necessary data indicated. The arrows in column show the initial direction of motion. Be sure to include the arrows in your data for the motion both before each collision and after it. Three are elastic collisions, one is inelastic. You are welcome to try other combinations if you like think Mercedes vs. Volkswagen! No. Initial Direction Sticky Bumpers H L Off (Elastic) H L Off 3 L L Off 4 H L On (Inelastic). means body initially at rest
7 CALCULATIONS For each collision, calculate the vector momentum of each body before and after the collision, and the total initial momentum and final momentum of the two-body system. Do this for each of the three sets of data you have taken for each type of collision and for each set calculate the percent difference between initial and final momentum. %DIFFERENCE IN MOMENTUM = Total Initial Mom - Total Final Mom Total Initial Mom Do the same for the kinetic energy, except that you need to do this only for the data in each type of collision which shows the smallest difference between initial and final momentum. DIFFERENCE IN K.E. = Total Initial K.E. - Total Final K.E. Total Initial K.E. There may be large experimental uncertainties, especially where the initial vector momentum is close to zero. Rather than carry out a detailed uncertainty calculation, you can get an approximate idea of the uncertainties from the variation in difference in momentum among the three values you have obtained for each type of collision. DISCUSSION Discuss your results for momentum and kinetic energy. Keep in mind that we expect momentum to be conserved in every collision, while kinetic energy is conserved for elastic and not for inelastic collisions. Your discussion should include estimates of uncertainties, as indicated by the spread in your repeated (3) measurements of each type of collision, and the effects of residual friction and gravity as determined in DATA Pt.I. Do your results confirm expectations, given the experimental uncertainties? 400 7
Conservation of Momentum and Energy
Conservation of Momentum and Energy OBJECTIVES to investigate simple elastic and inelastic collisions in one dimension to study the conservation of momentum and energy phenomena EQUIPMENT horizontal dynamics
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 information9. Momentum and Collisions in One Dimension*
9. Momentum and Collisions in One Dimension* The motion of objects in collision is difficult to analyze with force concepts or conservation of energy alone. When two objects collide, Newton s third law
More informationExperiment 7 ~ Conservation of Linear Momentum
Experiment 7 ~ Conservation of Linear Momentum Purpose: The purpose of this experiment is to reproduce a simple experiment demonstrating the Conservation of Linear Momentum. Theory: The momentum p of an
More informationConservation of Momentum Using PASCO TM Carts and Track to Study Collisions in One Dimension
14 Conservation of Conservation of Using PASCO TM Carts and Track to Study s in One Dimension OBJECTIVE Students will collide two PASCO TM carts on a track to determine the momentum before and after a
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 informationPRELAB: NEWTON S 3 RD LAW AND MOMENTUM CONSERVATION
Newton s 3rd Law and Momentum Conservation, p./ PRELAB: NEWTON S 3 RD LAW AND MOMENTUM CONSERVATION Read over the lab and then answer the following questions about the procedures:. Write down the definition
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 informationPrelab Exercises: Hooke's Law and the Behavior of Springs
59 Prelab Exercises: Hooke's Law and the Behavior of Springs Study the description of the experiment that follows and answer the following questions.. (3 marks) Explain why a mass suspended vertically
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 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 informationLAB 4: MOMENTUM AND COLLISIONS
1 Name Date Day/Time of Lab Partner(s) Lab TA LAB 4: MOMENTUM AND COLLISIONS NEWTON S THIRD LAW OBJECTIVES To examine action-reaction force pairs To examine collisions and relate the law of conservation
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 informationProving the Law of Conservation of Energy
Table of Contents List of Tables & Figures: Table 1: Data/6 Figure 1: Example Diagram/4 Figure 2: Setup Diagram/8 1. Abstract/2 2. Introduction & Discussion/3 3. Procedure/5 4. Results/6 5. Summary/6 Proving
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 informationSample Questions for the AP Physics 1 Exam
Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiple-choice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each
More informationPhysics Notes Class 11 CHAPTER 6 WORK, ENERGY AND POWER
1 P a g e Work Physics Notes Class 11 CHAPTER 6 WORK, ENERGY AND POWER When a force acts on an object and the object actually moves in the direction of force, then the work is said to be done by the force.
More informationMechanics 1: Conservation of Energy and Momentum
Mechanics : Conservation of Energy and Momentum If a certain quantity associated with a system does not change in time. We say that it is conserved, and the system possesses a conservation law. Conservation
More informationProof of the conservation of momentum and kinetic energy
Experiment 04 Proof of the conservation of momentum and kinetic energy By Christian Redeker 27.10.2007 Contents 1.) Hypothesis...3 2.) Diagram...7 3.) Method...7 3.1) Apparatus...7 3.2) Procedure...7 4.)
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 informationLab 2: Vector Analysis
Lab 2: Vector Analysis Objectives: to practice using graphical and analytical methods to add vectors in two dimensions Equipment: Meter stick Ruler Protractor Force table Ring Pulleys with attachments
More informationPhysical Science Chapter 2. Forces
Physical Science Chapter 2 Forces The Nature of Force By definition, a Force is a push or a pull. A Push Or A Pull Just like Velocity & Acceleration Forces have both magnitude and direction components
More informationExam Three Momentum Concept Questions
Exam Three Momentum Concept Questions Isolated Systems 4. A car accelerates from rest. In doing so the absolute value of the car's momentum changes by a certain amount and that of the Earth changes by:
More informationPhysics Labs with Computers, Vol. 2 P38: Conservation of Linear Momentum 012-07001A
Name Class Date Activity P38: Conservation of Linear Momentum (Motion Sensors) Concept DataStudio ScienceWorkshop (Mac) ScienceWorkshop (Win) Newton s Laws P38 Linear Momentum.DS P16 Cons. of Momentum
More informationNotes on Elastic and Inelastic Collisions
Notes on Elastic and Inelastic Collisions In any collision of 2 bodies, their net momentus conserved. That is, the net momentum vector of the bodies just after the collision is the same as it was just
More informationExperiment 9. The Pendulum
Experiment 9 The Pendulum 9.1 Objectives Investigate the functional dependence of the period (τ) 1 of a pendulum on its length (L), the mass of its bob (m), and the starting angle (θ 0 ). Use a pendulum
More information5.1 The First Law: The Law of Inertia
The First Law: The Law of Inertia Investigation 5.1 5.1 The First Law: The Law of Inertia How does changing an object s inertia affect its motion? Newton s first law states that objects tend to keep doing
More informationPhysics Lab Report Guidelines
Physics Lab Report Guidelines Summary The following is an outline of the requirements for a physics lab report. A. Experimental Description 1. Provide a statement of the physical theory or principle observed
More informationName Partners Date. Energy Diagrams I
Name Partners Date Visual Quantum Mechanics The Next Generation Energy Diagrams I Goal Changes in energy are a good way to describe an object s motion. Here you will construct energy diagrams for a toy
More informationUnit 3 Work and Energy Suggested Time: 25 Hours
Unit 3 Work and Energy Suggested Time: 25 Hours PHYSICS 2204 CURRICULUM GUIDE 55 DYNAMICS Work and Energy Introduction When two or more objects are considered at once, a system is involved. To make sense
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 informationLAB 6: GRAVITATIONAL AND PASSIVE FORCES
55 Name Date Partners LAB 6: GRAVITATIONAL AND PASSIVE FORCES And thus Nature will be very conformable to herself and very simple, performing all the great Motions of the heavenly Bodies by the attraction
More informationF B = ilbsin(f), L x B because we take current i to be a positive quantity. The force FB. L and. B as shown in the Figure below.
PHYSICS 176 UNIVERSITY PHYSICS LAB II Experiment 9 Magnetic Force on a Current Carrying Wire Equipment: Supplies: Unit. Electronic balance, Power supply, Ammeter, Lab stand Current Loop PC Boards, Magnet
More informationA uranium nucleus (at rest) undergoes fission and splits into two fragments, one heavy and the other light. Which fragment has the greater speed?
A uranium nucleus (at rest) undergoes fission and splits into two fragments, one heavy and the other light. Which fragment has the greater speed? 1 2 PHYS 1021: Chap. 9, Pg 2 Page 1 1 A uranium nucleus
More informationPhysics 9e/Cutnell. correlated to the. College Board AP Physics 1 Course Objectives
Physics 9e/Cutnell correlated to the College Board AP Physics 1 Course Objectives Big Idea 1: Objects and systems have properties such as mass and charge. Systems may have internal structure. Enduring
More informationE/M Experiment: Electrons in a Magnetic Field.
E/M Experiment: Electrons in a Magnetic Field. PRE-LAB You will be doing this experiment before we cover the relevant material in class. But there are only two fundamental concepts that you need to understand.
More informationVerifying the Law of Conservation of Momentum. Jeremy Vosen Lili Lackner. Mrs. Rudstrom
Verifying the Law of Conservation of Momentum Jeremy Vosen Lili Lackner Mrs. Rudstrom January 26, 2012 Introduction The Law of Conservation of Momentum lab was performed using an air track that minimized
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 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 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 informationConceptual: 1, 3, 5, 6, 8, 16, 18, 19. Problems: 4, 6, 8, 11, 16, 20, 23, 27, 34, 41, 45, 56, 60, 65. Conceptual Questions
Conceptual: 1, 3, 5, 6, 8, 16, 18, 19 Problems: 4, 6, 8, 11, 16, 20, 23, 27, 34, 41, 45, 56, 60, 65 Conceptual Questions 1. The magnetic field cannot be described as the magnetic force per unit charge
More informationThe Force Table Vector Addition and Resolution
Name School Date The Force Table Vector Addition and Resolution Vectors? I don't have any vectors, I'm just a kid. From Flight of the Navigator Explore the Apparatus/Theory We ll use the Force Table Apparatus
More informationEducational Innovations
Educational Innovations Background Forces and Motion MAR-600 Wall Coaster Motion is caused by forces. Motion can be described. Motion follows rules. There are many forces and principles involved with motion.
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 informationProblem Set V Solutions
Problem Set V Solutions. Consider masses m, m 2, m 3 at x, x 2, x 3. Find X, the C coordinate by finding X 2, the C of mass of and 2, and combining it with m 3. Show this is gives the same result as 3
More information(I) s(t) = s 0 v 0 (t t 0 ) + 1 2 a (t t 0) 2 (II). t 2 = t 0 + 2 v 0. At the time. E kin = 1 2 m v2 = 1 2 m (a (t t 0) v 0 ) 2
Mechanics Translational motions of a mass point One-dimensional motions on the linear air track LD Physics Leaflets P1.3.3.8 Uniformly accelerated motion with reversal of direction Recording and evaluating
More informationAt the skate park on the ramp
At the skate park on the ramp 1 On the ramp When a cart rolls down a ramp, it begins at rest, but starts moving downward upon release covers more distance each second When a cart rolls up a ramp, it rises
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 informationKinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same.
1. A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall
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 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 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 informationVELOCITY, ACCELERATION, FORCE
VELOCITY, ACCELERATION, FORCE velocity Velocity v is a vector, with units of meters per second ( m s ). Velocity indicates the rate of change of the object s position ( r ); i.e., velocity tells you how
More informationFigure 1.1 Vector A and Vector F
CHAPTER I VECTOR QUANTITIES Quantities are anything which can be measured, and stated with number. Quantities in physics are divided into two types; scalar and vector quantities. Scalar quantities have
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 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 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 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 informationIf you put the same book on a tilted surface the normal force will be less. The magnitude of the normal force will equal: N = W cos θ
Experiment 4 ormal and Frictional Forces Preparation Prepare for this week's quiz by reviewing last week's experiment Read this week's experiment and the section in your textbook dealing with normal forces
More informationCHARGED PARTICLES & MAGNETIC FIELDS - WebAssign
Name: Period: Due Date: Lab Partners: CHARGED PARTICLES & MAGNETIC FIELDS - WebAssign Purpose: Use the CP program from Vernier to simulate the motion of charged particles in Magnetic and Electric Fields
More informationGravitational Potential Energy
Gravitational Potential Energy Consider a ball falling from a height of y 0 =h to the floor at height y=0. A net force of gravity has been acting on the ball as it drops. So the total work done on the
More informationFRICTION, WORK, AND THE INCLINED PLANE
FRICTION, WORK, AND THE INCLINED PLANE Objective: To measure the coefficient of static and inetic friction between a bloc and an inclined plane and to examine the relationship between the plane s angle
More informationFORCE ON A CURRENT IN A MAGNETIC FIELD
7/16 Force current 1/8 FORCE ON A CURRENT IN A MAGNETIC FIELD PURPOSE: To study the force exerted on an electric current by a magnetic field. BACKGROUND: When an electric charge moves with a velocity v
More informationChapter 15 Collision Theory
Chapter 15 Collision Theory 151 Introduction 1 15 Reference Frames Relative and Velocities 1 151 Center of Mass Reference Frame 15 Relative Velocities 3 153 Characterizing Collisions 5 154 One-Dimensional
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 informationUnderstanding Kinetic Energy
Got Science Supplemental Information Video Modules 1 & 2 Understanding Kinetic Energy There are many ways to explore the relationship of mass and speed to kinetic energy. Hot Wheels system was chosen rather
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 informationPractice Exam Three Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01T Fall Term 2004 Practice Exam Three Solutions Problem 1a) (5 points) Collisions and Center of Mass Reference Frame In the lab frame,
More informationLecture PowerPoints. Chapter 7 Physics: Principles with Applications, 6 th edition Giancoli
Lecture PowerPoints Chapter 7 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the
More informationExperiment: Static and Kinetic Friction
PHY 201: General Physics I Lab page 1 of 6 OBJECTIVES Experiment: Static and Kinetic Friction Use a Force Sensor to measure the force of static friction. Determine the relationship between force of static
More informationWork, Energy & Momentum Homework Packet Worksheet 1: This is a lot of work!
Work, Energy & Momentum Homework Packet Worksheet 1: This is a lot of work! 1. A student holds her 1.5-kg psychology textbook out of a second floor classroom window until her arm is tired; then she releases
More information1. Units of a magnetic field might be: A. C m/s B. C s/m C. C/kg D. kg/c s E. N/C m ans: D
Chapter 28: MAGNETIC FIELDS 1 Units of a magnetic field might be: A C m/s B C s/m C C/kg D kg/c s E N/C m 2 In the formula F = q v B: A F must be perpendicular to v but not necessarily to B B F must be
More informationTorque Analyses of a Sliding Ladder
Torque Analyses of a Sliding Ladder 1 Problem Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544 (May 6, 2007) The problem of a ladder that slides without friction while
More information6/2016 E&M forces-1/8 ELECTRIC AND MAGNETIC FORCES. PURPOSE: To study the deflection of a beam of electrons by electric and magnetic fields.
6/016 E&M forces-1/8 ELECTRIC AND MAGNETIC FORCES PURPOSE: To study the deflection of a beam of electrons by electric and magnetic fields. APPARATUS: Electron beam tube, stand with coils, power supply,
More informationMeasurement of Length, Mass, Volume and Density
Measurement of Length, Mass, Volume and Density Experimental Objective The objective of this experiment is to acquaint you with basic scientific conventions for measuring physical quantities. You will
More informationLaws of Collision / demonstration track
Related topics Conservation of momentum, conservation of energy, linear motion, velocity, elastic loss, elastic collision, inelastic collision. Principle The velocities of two carts, moving on a, are measured
More information2.2 Scientific Notation: Writing Large and Small Numbers
2.2 Scientific Notation: Writing Large and Small Numbers A number written in scientific notation has two parts. A decimal part: a number that is between 1 and 10. An exponential part: 10 raised to an exponent,
More informationIDEAL AND NON-IDEAL GASES
2/2016 ideal gas 1/8 IDEAL AND NON-IDEAL GASES PURPOSE: To measure how the pressure of a low-density gas varies with temperature, to determine the absolute zero of temperature by making a linear fit to
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 informationPhysics Midterm Review Packet January 2010
Physics Midterm Review Packet January 2010 This Packet is a Study Guide, not a replacement for studying from your notes, tests, quizzes, and textbook. Midterm Date: Thursday, January 28 th 8:15-10:15 Room:
More informationAP Physics 1 and 2 Lab Investigations
AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks
More informationChapter 8 Conservation of Linear Momentum. Conservation of Linear Momentum
Chapter 8 Conservation of Linear Momentum Physics 201 October 22, 2009 Conservation of Linear Momentum Definition of linear momentum, p p = m v Linear momentum is a vector. Units of linear momentum are
More informationPAScar Accessory Track Set (1.2m version)
Includes Teacher's Notes and Typical Experiment Results Instruction Manual and Experiment Guide for the PASCO scientific Model ME-6955 012-07557A 1/01 PAScar Accessory Track Set (1.2m version) Model ME-9435
More information2 Session Two - Complex Numbers and Vectors
PH2011 Physics 2A Maths Revision - Session 2: Complex Numbers and Vectors 1 2 Session Two - Complex Numbers and Vectors 2.1 What is a Complex Number? The material on complex numbers should be familiar
More informationGENERAL 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 informationIn order to describe motion you need to describe the following properties.
Chapter 2 One Dimensional Kinematics How would you describe the following motion? Ex: random 1-D path speeding up and slowing down In order to describe motion you need to describe the following properties.
More informationExperiment #4, Ohmic Heat
Experiment #4, Ohmic Heat 1 Purpose Physics 18 - Fall 013 - Experiment #4 1 1. To demonstrate the conversion of the electric energy into heat.. To demonstrate that the rate of heat generation in an electrical
More informationTennessee State University
Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an F-grade. Other instructions will be given in the Hall. MULTIPLE CHOICE.
More informationmomentum change per impact The average rate of change of momentum = Time interval between successive impacts 2m x 2l / x m x m x 2 / l P = l 2 P = l 3
Kinetic Molecular Theory This explains the Ideal Gas Pressure olume and Temperature behavior It s based on following ideas:. Any ordinary sized or macroscopic sample of gas contains large number of molecules.
More informationHOOKE S LAW AND OSCILLATIONS
9 HOOKE S LAW AND OSCILLATIONS OBJECTIVE To measure the effect of amplitude, mass, and spring constant on the period of a spring-mass oscillator. INTRODUCTION The force which restores a spring to its equilibrium
More informationDetermination of g using a spring
INTRODUCTION UNIVERSITY OF SURREY DEPARTMENT OF PHYSICS Level 1 Laboratory: Introduction Experiment Determination of g using a spring This experiment is designed to get you confident in using the quantitative
More information22.302 Experiment 5. Strain Gage Measurements
22.302 Experiment 5 Strain Gage Measurements Introduction The design of components for many engineering systems is based on the application of theoretical models. The accuracy of these models can be verified
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 informationReview D: Potential Energy and the Conservation of Mechanical Energy
MSSCHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.01 Fall 2005 Review D: Potential Energy and the Conservation of Mechanical Energy D.1 Conservative and Non-conservative Force... 2 D.1.1 Introduction...
More information6. Block and Tackle* Block and tackle
6. Block and Tackle* A block and tackle is a combination of pulleys and ropes often used for lifting. Pulleys grouped together in a single frame make up what is called a pulley block. The tackle refers
More informationGround Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. Dr Tay Seng Chuan
Ground Rules PC11 Fundamentals of Physics I Lectures 3 and 4 Motion in One Dimension Dr Tay Seng Chuan 1 Switch off your handphone and pager Switch off your laptop computer and keep it No talking while
More informationExperimental Uncertainties (Errors)
Experimental Uncertainties (Errors) Sources of Experimental Uncertainties (Experimental Errors): All measurements are subject to some uncertainty as a wide range of errors and inaccuracies can and do happen.
More informationName per due date mail box
Name per due date mail box Rolling Momentum Lab (1 pt for complete header) Today in lab, we will be experimenting with momentum and measuring the actual force of impact due to momentum of several rolling
More informationAll About Motion - Displacement, Velocity and Acceleration
All About Motion - Displacement, Velocity and Acceleration Program Synopsis 2008 20 minutes Teacher Notes: Ian Walter Dip App Chem; GDipEd Admin; TTTC This program explores vector and scalar quantities
More informationPLOTTING DATA AND INTERPRETING GRAPHS
PLOTTING DATA AND INTERPRETING GRAPHS Fundamentals of Graphing One of the most important sets of skills in science and mathematics is the ability to construct graphs and to interpret the information they
More information