Conservation of Momentum and Energy
|
|
- Jacob Page
- 7 years ago
- Views:
Transcription
1 Department of Physics & Astronomy David Rittenhouse Laboratory Friday March 1, 2013 Conservation of Momentum and Energy In this lab we will study how the momentum and kinetic energy of a moving object are changed by the application of a braking force. All the major elements of the apparatus are seen in Figure 1 (below). The moving object is a low-friction glider (A) moving on a grooved track that ensures straight-line motion. To document the glider s position and velocity, an ultrasonic motion detector (B) is connected to a computer using the Vernier Logger Pro software. The repeated high-pitched chirps from the motion detector echo off the black metal flag (C), and return to the detector. Using the time needed for the echo to return, and the known speed of sound, the computer calculates the position and velocity of the glider 50 times every second and graphs the data. To apply and measure a stopping force on the glider we will use a force sensor (D) connected to a wooden rod or dowel (E). The dowel runs easily through a hole in the metal plate on the glider. A wooden clothespin (F) is placed at about the 2/3rds point on the dowel.
2 When the metal plate with the hole hits the clothespin, the clothespin is pushed along the dowel until friction brings the glider to a stop, as shown in Figure 2. The applied friction force on the rod pushes on the force sensor. The computer records all the data (position, velocity, Figure 2. force, and time) in a single table. Clicking on the either axis label of any graph produces a drop-down menu of all variables. A graph of any two data variables can be produced, including calculated columns inserted after the data is collected. Momentum and Impulse: If the mass of the glider is measured, the momentum (p) of the glider just before it hits the clothespin can be calculated (p = mv). That permits a check on the impulse (I) formula for change in momentum: (impulse) = (change in momentum) = (mass) x (change in velocity) or I = p = m v (eq. 1.) Since the glider comes to a stop, the change in velocity is equal to the velocity value when it strikes the clothespin. Equation 1 permits us to calculate the change but it does not indicate why it happens. To understand why motion changes we must take forces into account, and we also have that data. There is a second way to calculate impulse (or the change in momentum) that includes force: I = p = F t (eq. 2.) Since we have collected both force and time data we can graph them by changing the plotted variables as described to the right of figure 2. Keep time in its traditional place on the horizontal axis, and insert force on the vertical axis. If force were constant, the graph would be a horizontal line producing a rectangle with a height of F and a width of t. That would make the product F t equal the area under the force vs. time graph. More importantly, that would make the change in momentum equal to the area under the force vs. time graph.
3 And most importantly, that would be true even if the graph were not a neat rectangle. The area under any force vs. time graph indicates how much the momentum changed during that time. As shown in figure 3, our calculated loss of momentum can be checked against the force vs. time data collected by the force sensor. The Figure 3. Logger Pro software will calculate the area under any region of the graph you highlight by clicking and dragging that mouse from lower left to upper right of the box you want to include (the shaded box around the graph in fig 3.) Once that is highlighted, go to the top toolbar and click the icon that shows an area under a curve (it s labeled integral in fig 3). Within realistic limits you should find that momentum change based on result (equation 1) equals momentum change based on cause (equation 2). That would mean we could combine equations 1 and 2 to produce the impulse equation: m v = F t (eq. 3.) In drawing your conclusions, discuss how close your data came to verifying equation 3. a. What measurement challenges might have kept the product on the left from being exactly equal to the product on the right? Be specific and if a value is too big, discuss things that may have pushed it in that direction. b. How big would the difference in the two sides of equation 3 have to be to make the outcome questionable? To disprove the hypothesis?
4 Energy and Work: In the same way that physicists have realized the change or transfer of momentum is important enough to have the separate name impulse, they have realized the change in energy is also so important that it needs its own term: work. These are both conserved quantities, so making sure all the changes total to zero is a very good check on how well we understand and measure the thing we are studying. (The same idea is central to finance. The change in money is called pay. Both are measured in the same unit, dollars. But what Apple store employees get paid is very different from the total value of the Apple corporation.) Although the formulas are not quite the same, the way we think about energy is similar to our approach to momentum. As with momentum, the kinetic energy (KE) of the glider just before it hits the clothespin can be calculated (KE = ½ mass vel 2 ). That permits a check on the work (w) formula for change in energy: (work) = (change in KE) = ( ½ mass x (final vel) 2 )- ( ½ mass x (initial vel) 2 ) or w = KE = ½ mv 2 2 f - ½ mv i (eq. 4.) Note: we can t just insert v into the formula because in the case of energy the velocity term gets squared, and squaring changes subtraction: (vf vi) 2 (vf 2 -vi 2 ) Like equation 1 in the momentum section, equation 4 above lets us calculate an outcome but does not deal with the forces that caused it. So as with impulse, there is also a way to calculate work using force: w = KE = F x (eq. 5.) Very similar to the momentum case, except that we multiply force times change in position rather than change in time. The similarities extend to the fact that work will equal the area under a force vs. distance graph. So use the same data you just used for your momentum-impulse work in the first part, and do a similar analysis of energy and work. You will need to change the horizontal axis of your force graph from time to position before finding the area under it. As you did with momentum, see if the combination of equations 4 and 5 is correct, and discuss how close your results come to expectations: F x = ½ mv f 2 - ½ mv i 2 (eq. 6.)
5
Lab #4 - Linear Impulse and Momentum
Purpose: Lab #4 - Linear Impulse and Momentum The objective of this lab is to understand the linear and angular impulse/momentum relationship. Upon completion of this lab you will: Understand and know
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 informationSTATIC AND KINETIC FRICTION
STATIC AND KINETIC FRICTION LAB MECH 3.COMP From Physics with Computers, Vernier Software & Technology, 2000. INTRODUCTION If you try to slide a heavy box resting on the floor, you may find it difficult
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 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 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 informationCOEFFICIENT OF KINETIC FRICTION
COEFFICIENT OF KINETIC FRICTION LAB MECH 5.COMP From Physics with Computers, Vernier Software & Technology, 2000. INTRODUCTION If you try to slide a heavy box resting on the floor, you may find it difficult
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 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 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 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 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 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 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 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 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 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 informationThis activity will show you how to draw graphs of algebraic functions in Excel.
This activity will show you how to draw graphs of algebraic functions in Excel. Open a new Excel workbook. This is Excel in Office 2007. You may not have used this version before but it is very much the
More informationGENERAL SCIENCE LABORATORY 1110L Lab Experiment 6: Ohm s Law
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 6: Ohm s Law OBJECTIVES: To verify Ohm s law, the mathematical relationship among current, voltage or potential difference, and resistance, in a simple circuit.
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 informationGRAPH MATCHING EQUIPMENT/MATERIALS
GRAPH MATCHING LAB MECH 6.COMP. From Physics with Computers, Vernier Software & Technology, 2000. Mathematics Teacher, September, 1994. INTRODUCTION One of the most effective methods of describing motion
More informationSummary of important mathematical operations and formulas (from first tutorial):
EXCEL Intermediate Tutorial Summary of important mathematical operations and formulas (from first tutorial): Operation Key Addition + Subtraction - Multiplication * Division / Exponential ^ To enter a
More informationPressure -Temperature Relationship in Gases. Evaluation copy. Figure 1. 125 ml Erlenmeyer flask. Vernier computer interface
Pressure -Temperature Relationship in Gases Computer 7 Gases are made up of molecules that are in constant motion and exert pressure when they collide with the walls of their container. The velocity and
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 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 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 informationTorque and Rotary Motion
Torque and Rotary Motion Name Partner Introduction Motion in a circle is a straight-forward extension of linear motion. According to the textbook, all you have to do is replace displacement, velocity,
More informationPart 1: Background - Graphing
Department of Physics and Geology Graphing Astronomy 1401 Equipment Needed Qty Computer with Data Studio Software 1 1.1 Graphing Part 1: Background - Graphing In science it is very important to find and
More information0 Introduction to Data Analysis Using an Excel Spreadsheet
Experiment 0 Introduction to Data Analysis Using an Excel Spreadsheet I. Purpose The purpose of this introductory lab is to teach you a few basic things about how to use an EXCEL 2010 spreadsheet to do
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 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 informationDynamics Track. Mechanical Force, Impulse and Momentum
Dynamics Track Mechanical Force, Impulse and Momentum An object subjected to unbalanced forces undergoes acceleration, which changes the velocity of the object in question. This change in motion can be
More informationScientific Graphing in Excel 2010
Scientific Graphing in Excel 2010 When you start Excel, you will see the screen below. Various parts of the display are labelled in red, with arrows, to define the terms used in the remainder of this overview.
More informationLIGHTSTICK KINETICS. INTRODUCTION: General background on rate, activation energy, absolute temperature, and graphing.
LIGHTSTICK KINETICS From Advancing Science, Gettysburg College INTRODUCTION: General background on rate, activation energy, absolute temperature, and graphing. THE RATE LAW: The rate of a chemical reaction
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 informationA Guide to Using Excel in Physics Lab
A Guide to Using Excel in Physics Lab Excel has the potential to be a very useful program that will save you lots of time. Excel is especially useful for making repetitious calculations on large data sets.
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 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 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 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 informationUsing Microsoft Excel to Plot and Analyze Kinetic Data
Entering and Formatting Data Using Microsoft Excel to Plot and Analyze Kinetic Data Open Excel. Set up the spreadsheet page (Sheet 1) so that anyone who reads it will understand the page (Figure 1). Type
More informationKinetic Theory & Ideal Gas
1 of 6 Thermodynamics Summer 2006 Kinetic Theory & Ideal Gas The study of thermodynamics usually starts with the concepts of temperature and heat, and most people feel that the temperature of an object
More informationLAB 06: Impulse, Momentum and Conservation
LAB 06: Impulse, Momentum and Conservation PURPOSE Investigate the relation between applied force and the change in momentum Investigate how the momentum of objects change during collisions BACKGROUND
More informationStatistics Revision Sheet Question 6 of Paper 2
Statistics Revision Sheet Question 6 of Paper The Statistics question is concerned mainly with the following terms. The Mean and the Median and are two ways of measuring the average. sumof values no. of
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 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 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 informationSimple Harmonic Motion Experiment. 1 f
Simple Harmonic Motion Experiment In this experiment, a motion sensor is used to measure the position of an oscillating mass as a function of time. The frequency of oscillations will be obtained by measuring
More informationFind the Relationship: An Exercise in Graphing Analysis
Find the Relationship: An Eercise in Graphing Analsis Computer 5 In several laborator investigations ou do this ear, a primar purpose will be to find the mathematical relationship between two variables.
More informationEDUH 1017 - SPORTS MECHANICS
4277(a) Semester 2, 2011 Page 1 of 9 THE UNIVERSITY OF SYDNEY EDUH 1017 - SPORTS MECHANICS NOVEMBER 2011 Time allowed: TWO Hours Total marks: 90 MARKS INSTRUCTIONS All questions are to be answered. Use
More informationLab 17: Consumer and Producer Surplus
Lab 17: Consumer and Producer Surplus Who benefits from rent controls? Who loses with price controls? How do taxes and subsidies affect the economy? Some of these questions can be analyzed using the concepts
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 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 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 informationLaboratory Report Scoring and Cover Sheet
Laboratory Report Scoring and Cover Sheet Title of Lab _Newton s Laws Course and Lab Section Number: PHY 1103-100 Date _23 Sept 2014 Principle Investigator _Thomas Edison Co-Investigator _Nikola Tesla
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 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 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 informationUsing Excel (Microsoft Office 2007 Version) for Graphical Analysis of Data
Using Excel (Microsoft Office 2007 Version) for Graphical Analysis of Data Introduction In several upcoming labs, a primary goal will be to determine the mathematical relationship between two variable
More informationWork, Power, Energy Multiple Choice. PSI Physics. Multiple Choice Questions
Work, Power, Energy Multiple Choice PSI Physics Name Multiple Choice Questions 1. A block of mass m is pulled over a distance d by an applied force F which is directed in parallel to the displacement.
More informationphysics 111N work & energy
physics 111N work & energy conservation of energy entirely gravitational potential energy kinetic energy turning into gravitational potential energy gravitational potential energy turning into kinetic
More informationMicrosoft Excel Tutorial
Microsoft Excel Tutorial by Dr. James E. Parks Department of Physics and Astronomy 401 Nielsen Physics Building The University of Tennessee Knoxville, Tennessee 37996-1200 Copyright August, 2000 by James
More informationYears after 2000. US Student to Teacher Ratio 0 16.048 1 15.893 2 15.900 3 15.900 4 15.800 5 15.657 6 15.540
To complete this technology assignment, you should already have created a scatter plot for your data on your calculator and/or in Excel. You could do this with any two columns of data, but for demonstration
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 informationAppendix C. Vernier Tutorial
C-1. Vernier Tutorial Introduction: In this lab course, you will collect, analyze and interpret data. The purpose of this tutorial is to teach you how to use the Vernier System to collect and transfer
More informationPendulum Force and Centripetal Acceleration
Pendulum Force and Centripetal Acceleration 1 Objectives 1. To calibrate and use a force probe and motion detector. 2. To understand centripetal acceleration. 3. To solve force problems involving centripetal
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 informationPulleys, Work, and Energy
Pulleys, Work, and Energy In this laboratory, we use pulleys to study work and mechanical energy. Make sure that you have the following pieces of equipment. two triple-pulley assemblies apparatus from
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 informationPlots, Curve-Fitting, and Data Modeling in Microsoft Excel
Plots, Curve-Fitting, and Data Modeling in Microsoft Excel This handout offers some tips on making nice plots of data collected in your lab experiments, as well as instruction on how to use the built-in
More informationWhat Do You Think? For You To Do GOALS
Activity 2 Newton s Law of Universal Gravitation GOALS In this activity you will: Explore the relationship between distance of a light source and intensity of light. Graph and analyze the relationship
More informationElectrical Resonance
Electrical Resonance (R-L-C series circuit) APPARATUS 1. R-L-C Circuit board 2. Signal generator 3. Oscilloscope Tektronix TDS1002 with two sets of leads (see Introduction to the Oscilloscope ) INTRODUCTION
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 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 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 informationAbsorbance Spectrophotometry: Analysis of FD&C Red Food Dye #40 Calibration Curve Procedure
Absorbance Spectrophotometry: Analysis of FD&C Red Food Dye #40 Calibration Curve Procedure Note: there is a second document that goes with this one! 2046 - Absorbance Spectrophotometry. Make sure you
More informationThe Circumference Function
2 Geometry You have permission to make copies of this document for your classroom use only. You may not distribute, copy or otherwise reproduce any part of this document or the lessons contained herein
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 informationEXCEL Tutorial: How to use EXCEL for Graphs and Calculations.
EXCEL Tutorial: How to use EXCEL for Graphs and Calculations. Excel is powerful tool and can make your life easier if you are proficient in using it. You will need to use Excel to complete most of your
More informationEndothermic and Exothermic Reactions. Evaluation copy. Mg(s) + 2 HCl(aq) H 2 (g) + MgCl 2 (aq)
Endothermic and Exothermic Reactions Computer 1 Many chemical reactions give off energy. Chemical reactions that release energy are called exothermic reactions. Some chemical reactions absorb energy and
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 informationSpreadsheets and Laboratory Data Analysis: Excel 2003 Version (Excel 2007 is only slightly different)
Spreadsheets and Laboratory Data Analysis: Excel 2003 Version (Excel 2007 is only slightly different) Spreadsheets are computer programs that allow the user to enter and manipulate numbers. They are capable
More information1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?
Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is
More informationCandidate Number. General Certificate of Education Advanced Level Examination June 2010
entre Number andidate Number Surname Other Names andidate Signature General ertificate of Education dvanced Level Examination June 1 Physics PHY4/1 Unit 4 Fields and Further Mechanics Section Friday 18
More informationEvaluation copy. Titration of a Diprotic Acid: Identifying an Unknown. Computer
Titration of a Diprotic Acid: Identifying an Unknown Computer 25 A diprotic acid is an acid that yields two H + ions per acid molecule. Examples of diprotic acids are sulfuric acid, H 2 SO 4, and carbonic
More informationExample 1: Suppose the demand function is p = 50 2q, and the supply function is p = 10 + 3q. a) Find the equilibrium point b) Sketch a graph
The Effect of Taxes on Equilibrium Example 1: Suppose the demand function is p = 50 2q, and the supply function is p = 10 + 3q. a) Find the equilibrium point b) Sketch a graph Solution to part a: Set the
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 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 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 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 informationMicrosoft Excel: Exercise 5
Microsoft Excel: Exercise 5 In this exercise: Using AutoSum Using the fill handle to copy formulas Using AutoFormat Using the Chart Wizard to create a pie and bar graph This is a case study exercise. In
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 informationEvaluation copy. Energy Content of Foods. computer OBJECTIVES MATERIALS
Energy Content of Foods Computer 10 Energy content is an important property of food. The energy your body needs for running, talking, and thinking comes from the food you eat. Energy content is the amount
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 informationData representation and analysis in Excel
Page 1 Data representation and analysis in Excel Let s Get Started! This course will teach you how to analyze data and make charts in Excel so that the data may be represented in a visual way that reflects
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 informationOrbital Mechanics. Angular Momentum
Orbital Mechanics The objects that orbit earth have only a few forces acting on them, the largest being the gravitational pull from the earth. The trajectories that satellites or rockets follow are largely
More informationAnswer Key for California State Standards: Algebra I
Algebra I: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences.
More informationMotion of a Leaky Tank Car
1 Problem Motion of a Leaky Tank Car Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 8544 (December 4, 1989; updated October 1, 214) Describe the motion of a tank car initially
More informationMicrosoft Excel Basics
COMMUNITY TECHNICAL SUPPORT Microsoft Excel Basics Introduction to Excel Click on the program icon in Launcher or the Microsoft Office Shortcut Bar. A worksheet is a grid, made up of columns, which are
More information