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Honors Physics Agenda for Today Course Introduction
General Announcements Structure of the course Scope of the course Begin chapter 1 Course Homepage: 1
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General Announcements
Assignments: Glencoe Physics and Principles Reading Assignment: Chapters 1 Homework will do as Indicated on the Website and on the Board each day. Lectures: (the PowerPoint component) will be posted at the course website Videos: Selected YouTube videos will be available on line to help with learning the topics
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Grading Several components: Assessments 50% Practice 20%
Tests,Projects Practice % Homework, Classwork,Small Projects Quizzes/Labs % 2
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Three main components:
Lecture Three main components: Discussion class material Selected topics from text Demonstrations of physical phenomenon Physics is an experimental science Interactive exercise with conceptual “Active Learning” problems Critical thinking and problem solving (Almost no memorization required) Act
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Course Objectives To begin to understand basic principles (e.g. Newton's Laws) and their consequences (e.g. conservation of momentum, etc.) To solve problems using both quantitative and qualitative applications of these physical principles To develop an intuition of the physical world
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Scope of Honors Physics
Classical Mechanics: Mechanics: How and why things work. Motion (dynamics), balance (statics), energy, vibrations, some thermodynamics Classical: Not too fast (v << c), c ≡ speed of light Not too small (d >> atom), atoms 10-9 m Most everyday situations can be described in these terms. Path of baseball (or a ping pong ball) Path of rubber ball bouncing against a wall Vibrations of an elastic string (Vibration Demo) (These reflect Newton’s Laws and forces) Properties of matter; a roll of the dice (Thermodynamics)
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This Week Position and Time (Chapter 1) What is Physics
Scientific Method Vectors Scientific Notation Systems of units Dimensional Analysis Significant digits 1
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Physics can also be described as the science of motion.
What is Physics…..
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Laboratory Analysis and Errors
Lab Scientific Method A step by step process where a scientist investigates a question by observing and performing experiments. Step 1 - State the problem or pose a question Step 2 - Gather information Step 3 - Form a hypothesis -- a possible explanation or answer
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Step 4 - Test the hypothesis with an experiment
Experiments have 2 variables Independent variable - what you change Responding variable (dependent) - what you measure A control is something you do nothing to, used to compare your results
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Organize data into charts or graphs that can be read by others
Step 5 - Conclusion Organize data into charts or graphs that can be read by others Step 6 - Draw Conclusions Determine if hypothesis is supported or rejected If hypothesis is not supported - modify hypothesis If hypothesis is supported - repeat experiment
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Quick Review Experiment: an organized procedure for testing a hypothesis...typically has a control and independent and dependent variables. Control: a standard for comparison Independent variable: the factor (or variable) that is changed by the experimenter Dependent variable: the factor (or variable) that responds to change in the independent variable?
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• Fundamental or Base Unit:
Metric System • Fundamental or Base Unit: – a standard; a specific quantity – only seven (7) needed to describe all of nature
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Metric System • To convert between SI units, multiply or
divide by the appropriate power of 10. • Prefixes are used to change SI units by powers of 10, as shown in the table below.
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Conversion Between Units
Choose a conversion factor that will make the units cancel, leaving the answer in the correct units. For example, to convert 1.34 kg of iron ore to grams, do as shown below:
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Proper format: M x 10n where M < 10
Scientific Notation Physicists like to measure the very big, the very small and everything in between. Earth is about 149,000,000,000 meters from the Sun. Scientific notation expresses a quantity as a number times a power of 10. 1.49×1011meters = 14.9×1010 meters = .149×1012 meters …. which is correct? Proper format: M x 10n where M < 10 Power Of 10 Movie
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Standard Scientific Notation:
A. Moving the decimal point to left exponent is ___________ number is _____ 1 5 = 6.16 x 10 positive Shift ______ to here by ___ places left > ________ decimal pt. implied 5 B. Moving the decimal point to right exponent is ___________ number is _____ 1 -3 = 7.0 x 10 negative Shift ______ to here by ___ places right < 3
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Convert to standard scientific notation
number scientific notation 43000 0.0290 2012 0.5 80 80. 4.3 x 104 2.90 x 10-2 2.012 x 103 5 x 10-1 8 x 101 8.0 x 101
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Measurements • We measure things to know something about them; to describe, to understand • Measurements must be accurate and mean the same to all • include 3 pieces of information – magnitude (how much) – units – uncertainty
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Measurement Significant digits (sig figs)
Include all the numbers that can be read directly from the instrument scale plus one doubtful or estimated number. Reflect the precision of the measurement. Significant digits are considered only when calculating with measurements. There is NO uncertainty with counting or exact conversions.
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Figures (numbers) are significant if they are:
Non-Zero numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9 Any zeros that are: a. between any significant numbers: 509 or 5.009 b. between a non-zero number and the decimal point : 10. c. which are BOTH to the right of the decimal and at the end of a number are ALWAYS significant Ex (4 sig figs or (5 sig figs) NOTE: only 1 sig fig zeros are to the left of the number NOTE: We use scientific Notation to help out with sig figs!!!! Ex: number # sig. figs. # sig. fig. 5.3 6.6070 202900 3.00 x 108 0.008 40 0.67 40. 2 5 4 3 1 1 2 2
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Ex 1: Measure the length of a box:
2 3 4 5 6 L = 4.7 cm = 4.7 ± 0.1 cm last digit is _____________ estimated
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Ex 2: Use a “better” ruler:
1 2 3 4 5 6 L = 0.01 cm 4.67 cm = 4.67 ± last digit is ______________ estimated
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Sig. figs. when multiplying or dividing:
answer has the _________ number of sig. figs., in this case: ____ ____ sig. figs. 3 lower 3.73 x 5.7 = 21 2 ____ sig. figs. 2 Sig. figs. when adding or subtracting: 3 18.541 +106.6 125.1 ___ decimal places 1 lower answer has the _________ number of ___________________ , in this case: ____ decimal places 1
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Measurement • Precision:
Precision of a measurement is how closely a number of measurements of the same quantity agree with each other. The precision of a number is limited by random errors Limited by the smallest division on the measurement scale Precision describes how close several measurements are to each other. The closer measured values are to each other, the higher their precision.
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Measurement • Accuracy: – closeness to a standard
Accuracy describes how close a measurement is to a known or accepted value. Suppose, for example, the mass of a sample is known to be 5.85 grams. A measurement of 5.81 grams would be more accurate than a measurement of 6.05 grams.
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Measurements can be precise even if they are not accurate.
Consider again a sample with a known mass of 5.85 grams. Suppose several students each measure the sample's mass, and all of the measurements are close to 8.5 grams. The measurements are precise because they are close to each other, but none of the measurements are accurate because they are all far from the known mass of the sample.
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Types of Errors Systematic Errors
Occur when there is a flaw in the procedure, an incorrect assumption or a flaw with an instrument used to take the measurement (calibration error) Example 1: Measure the period of a pendulum with a stop watch that is running slow. All results will be shorter that they should be. Tough to estimate this error. Example 2: Measuring acceleration of a car on a tack and you assume no friction. Acceleration will be less than the theoretical acceleration. Systematic errors always shift the results one direction
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Types of Errors Personnel Error Random Error
Errors Due to improperly performing the experiment Effects both the accuracy and precision of data. Random Error Errors that can not be predicted. Include errors of judgment in reading a meter or a scale and errors due to fluctuating experimental conditions. Example: Suppose you are making temperature measurements in a classroom over a period of several days. Large variations in the classroom temperature could result in random errors when measuring the experimental temperature changes. Note: If the random errors in an experiment are small, the experiment is said to be precise.
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Statistics and Physics
Mean & Standard Deviation (σ) (few data points…σ may be suspect!!) We can use σ to calculate precision.
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Statistics and Physics
2. Percent Error:
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Graphs Graphs should include the following items.
Labels on each axis, including units Each axis will contain a scale and evenly-spaced tick marks A meaningful Title The Graph should fill the space given for it. If you are doing a graph for a lab or test you should fill the grid provided to you. DO NOT LEAVE EXTRA SPACE. PLAN AHEAD DECIDE THE UPPER LIMITS OF THE GRAPH FOR EACH AXIS THEN DECIDE ON THE APPORPRIATE INTERVALS!!! BE NEAT!!!!
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Graphs Dependent and Independent variables...what graphing axis goes with what variable… Note: We vary rarely use x and y as our axis in this class like you do in math. Physics is the real thing not a example like a math homework problem. THIS CLASS ACTUALLY USES THE CONCPETS YOU HAVE LEARNED IN THE MATH YOU HAVE BEEN TAKING FOR YEARS!!!!!!!!
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Graphs Regression Analysis (Curve fitting/line of best fit)
We are going to plot our data points…a lot It ain’t going to look pretty so we use a graphing calculator, computer, or our eye to find the line of best fit so we can determine the model/equation (linear, quadratic, exponential) that best fits our data If we use the calculator or computer we will use the coefficient of determination (r2 in stat calc) to determine how good our data was (precision and accurately) Finally, when we conduct analysis of our data we will use the line of best fit/model/equation NOT THE DATA POINTS USED TO DETERMINE THE line of best fit/model/equation
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