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Devil physics The baddest class on campus IB Physics
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All You Need To Know About Physics
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Lsn 1-3: Mathematical and Graphical Techniques
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Questions From Reading Activity?
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Essential Idea Scientists aim towards designing experiments that can give a “true value” from their measurements, but due to the limited precision in measuring devices, they often quote their results with some form of uncertainty.
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Nature Of Science Uncertainties: “All scientific knowledge is uncertain… if you have made up your mind already, you might not solve it. When the scientist tells you he does not know the answer, he is an ignorant man. When he tells you he has a hunch about how it is going to work, he is uncertain about it. When he is pretty sure of how it is going to work, and he tells you, ‘This is the way it’s going to work, I’ll bet,’ he still is in some doubt. And it is of paramount importance, in order to make progress, that we recognize this ignorance and this doubt. Because we have the doubt, we then propose looking in new directions for new ideas.” (3.4) -- Feynman, Richard P The Meaning of It All: Thoughts of a Citizen-Scientist. Reading, Massachusetts, USA. Perseus. P 13.
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Theory Of Knowledge “One aim of the physical sciences has been to give an exact picture of the material world. One achievement of physics in the twentieth century has been to prove that this aim is unattainable.” – Jacob Bronowski. Can scientists ever be truly certain of their discoveries?
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Understandings Random and systematic errors
Absolute, fractional and percentage uncertainties Error bars Uncertainty of gradient and intercepts
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Applications And Skills
Explaining how random and systematic errors can be identified and reduced Collecting data that include absolute and/or fractional uncertainties and stating these as an uncertainty range (expressed as: best estimate ± uncertainty range) Propagating uncertainties through calculations involving addition, subtraction, multiplication, division and raising to a power Determining the uncertainty in gradients and intercepts
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Guidance Analysis of uncertainties will not be expected for trigonometric or logarithmic functions in examinations
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Data Booklet Reference
If Then then
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Utilization Students studying more than one group 4 subject will be able to use these skills across all subjects
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Aims Aim 4: it is important that students see scientific errors and uncertainties not only as the range of possible answers but as an integral part of the scientific process Aim 9: the process of using uncertainties in classical physics can be compared to the view of uncertainties in modern (and particularly quantum) physics
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Review Quiz Which type of error can be minimized by averaging over repeated measurements?
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Review Quiz Which type of error can be minimized by averaging over repeated measurements? Random Error
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Review Quiz Which type of error can be minimized by averaging over repeated measurements? Random Error What is the assumed reading error for an analog instrument?
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Review Quiz Which type of error can be minimized by averaging over repeated measurements? Random Error What is the assumed reading error for an analog instrument? +/- 0.5 of lowest measurement increment
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Review Quiz Which type of error can be minimized by averaging over repeated measurements? Random Error What is the assumed reading error for an analog instrument? +/- 0.5 of lowest measurement increment What is the assumed reading error for a digital instrument?
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Review Quiz Which type of error can be minimized by averaging over repeated measurements? Random Error What is the assumed reading error for an analog instrument? +/- 0.5 of lowest measurement increment What is the assumed reading error for a digital instrument? +/- 0.5 of least significant digit in the readout
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Review Quiz When you turn on a voltmeter, it reads 0.3 V and goes back to this value after every use. What type of error is this? Does the error most affect accuracy or precision?
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Review Quiz When you turn on a voltmeter, it reads 0.3 V and goes back to this value after every use. What type of error is this? Does the error most affect accuracy or precision? Systematic error, zero error, accuracy
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Review Quiz When you turn on a voltmeter, it reads 0.3 V and goes back to this value after every use. What type of error is this? Does the error most affect accuracy or precision? Systematic error, zero error, accuracy How many significant figures are there in ?
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Review Quiz When you turn on a voltmeter, it reads 0.3 V and goes back to this value after every use. What type of error is this? Does the error most affect accuracy or precision? Systematic error, zero error, accuracy How many significant figures are there in ? 7
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Review Quiz Explain how you would quantify random error.
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Review Quiz Explain how you would quantify random error.
Best judgment applied to qualitative observations Standard deviation
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Review Quiz Explain how you would quantify random error.
Best judgment applied to qualitative observations Standard deviation What is the next step after you have created a scatter plot of your data?
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Review Quiz Explain how you would quantify random error.
Best judgment applied to qualitative observations Standard deviation What is the next step after you have created a scatter plot of your data? Line of Best Fit (LOBF)
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Review Quiz When computing the slope of the line of best fit, do you use data points or points on the line of best fit?
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Review Quiz When computing the slope of the line of best fit, do you use data points or points on the line of best fit? Line of Best Fit
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Review Quiz When computing the slope of the line of best fit, do you use data points or points on the line of best fit? Line of Best Fit When computing slope for a line of best fit, is it better to use points that are close together or far apart?
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Review Quiz When computing the slope of the line of best fit, do you use data points or points on the line of best fit? Line of Best Fit When computing slope for a line of best fit, is it better to use points that are close together or far apart? Far apart
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Multiplicative Changes
Common standardized test question Common IB exam question What happens if c = 4?
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Multiplicative Changes
Common standardized test question Common IB exam question What happens if x increases by 4 times?
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Multiplicative Changes
What happens if tension (T) is cut in half?
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Multiplicative Changes
What happens if tension (T) is cut in half?
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Linear Graphs y = mx +b b is the y-intercept
The value of y when x = 0 y is the dependent variable x is the independent variable We manipulate x to determine its effect on y
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Linear Graphs y = mx +b b is the y-intercept
We like linear graphs because they show a direct correlation between dependent and independent variables! Linear Graphs y = mx +b b is the y-intercept The value of y when x = 0 y is the dependent variable x is the independent variable We manipulate x to determine its effect on y
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Getting A Linear Graph y vs. x
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Getting A Linear Graph y vs. x2 y vs. x
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Getting A Linear Graph y vs. 1/x y vs. x
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Interpreting Graphs What does this graph tell you?
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Interpreting Graphs What does this graph tell you? Velocity vs. time
Units (m/s, s) Deceleration Uniform Deceleration Positive then negative
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Interpreting Graphs What does this graph tell you?
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Interpreting Graphs What does this graph tell you? Vert posn vs. time
Units (m, s) Deceleration Uniform Decel Pos/ neg velocity Max 2 sed Init/Final v = 0 Parabolic motion
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Interpreting Graphs What does this graph tell you?
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Interpreting Graphs What does this graph tell you? Velocity vs. time
Units (m/s, s) High initial acceleration Rate of acceleration decreases to zero ending in constant velocity
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Sine Curves Vertical displacement versus position Determine: Amplitude
Wavelength
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Sine Curves Vertical displacement versus time Determine: Amplitude
Period
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Sine Curves What would a cosine curve look like?
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Sine Curves What would a cosine curve look like?
Same thing, only it would start at max displacement instead of 0
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Common Assumptions Mechanics
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Common Assumptions Mechanics “Bodies” are treated as point particles
“Frictionless” surface Air resistance is negligible Mass of strings, cables, springs, etc. are neglibigle
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Common Assumptions Thermal Physics
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Common Assumptions Thermal Physics “Ideal” gas
Intermolecular forces are negligible “Isolated” system
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Common Assumptions Electricity
Power sources have no internal resistance Wires and ammeters have no resistance Voltmeters have infinite resistance
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Assumptions: Da Rules Always state your assumptions
State how realistic your assumptions are, i.e. are they justified State how your results may be affected by your assumptions
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Dat’s it
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Essential Idea Scientists aim towards designing experiments that can give a “true value” from their measurements, but due to the limited precision in measuring devices, they often quote their results with some form of uncertainty.
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Understandings Random and systematic errors
Absolute, fractional and percentage uncertainties Error bars Uncertainty of gradient and intercepts
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Applications And Skills
Explaining how random and systematic errors can be identified and reduced Collecting data that include absolute and/or fractional uncertainties and stating these as an uncertainty range (expressed as: best estimate ± uncertainty range) Propagating uncertainties through calculations involving addition, subtraction, multiplication, division and raising to a power Determining the uncertainty in gradients and intercepts
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Guidance Analysis of uncertainties will not be expected for trigonometric or logarithmic functions in examinations
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Data Booklet Reference
If Then then
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Physics in Everyday Life
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Questions?
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Homework # 1-16
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