Schab Lecture 1(2)

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    Conceptual Physics

    PHY 103

    Professor Schab

    Lecture1:

    About Science

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    What is Science?

    Science is a logical and rigorous method

    used to investigate the

    world around us.

    Science has specific rules that guide

    this investigation.

    Science gives specific meanings to some common words:

    theory, force, speed, etc.

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    Scientific Measurements

    Measurements

    relate to how much you know

    about something.

    of pinhole images of the Sun

    nicely lead to a calculation

    of the Suns diameter.

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    Measurements can be defined in

    many ways.

    In the US, we use the English(Imperial) System: units such as

    miles, pounds, gallons, etc.

    In the rest of the world, the metr ic systemis used.

    When doing science, everyone has to agree on a system.

    Measurements

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    Scientific Notation

    In science, we use numbers that are very small and very large.

    16x1074.600000006740000000

    -11x104.3340000000000.

    Writing out numbers such as 67400000000000000 or

    .000000000034 is cumbersome and hard to read.

    So scientists use Scienti f ic Notation.

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    Common Metric Prefixes

    310001.01000

    1milli 21001.0100

    1centi

    3101000kilo 6101000000mega

    9101000000000giga

    24100000000000000001000000000yotta

    And the not so common...

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    Multiple Prefix Symbol Common Name

    (10100)100 anton A antonplex

    (1010)100 - - googolplex

    10100 - - googol

    1024

    yotta Y heptillion

    1021 zetta Z hexillion

    1018 exa E quintillion

    1015 peta P quadrillion

    1012 tera T trillion

    109 giga G billion

    106 mega M million

    103 kilo k thousand

    102 hecto h hundred

    101 deca da ten

    10-1 deci d tenth

    10-2 centi c hundreth

    10-3 milli m thousandth

    10-6 micro (Greek mu) millionth

    10-9 nano n billionth

    10-12 pico p trillionth

    10-15 femto f quadrillionth

    10-18 atto a quintillionth

    10-21 zepto z hexillionth

    10-24 yocto y heptillionth

    Decimal

    Prefixes and

    Multiples,

    Powers of Ten

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    Science uses the International System of Units: SI. This system

    defines certain basic properties that every other measurement

    depends upon. It is basically the metric system.

    The basic units chosen must be easy toduplicate anywhere in the world.

    Units

    Units are every bit as important as the numbers.

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    Consistency

    It is VERY important to keep unitsconsistent.

    If you mix up systems, for

    example, using miles with kilograms,you will get wrong answers!

    When doing calculations, the units are

    every bit as important as the numbers.

    Ask NASA! They lost a 250 million dollar Mars spacecraft

    because of mixed up units!

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    Time

    Time is a fundamental property of

    the universe.

    Time is subjective for humans.Science requires a common,

    unchanging value.

    The second is the duration of 9,192,631,770 periods of the radiation

    corresponding to the transition between the two hyperfine levels of

    the ground state of the cesium-133 atom.

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    Length

    Length in the MKS system is defined as the meter.

    The meter is the length of the path traveled by light in vacuum during

    a time interval of 1/299 792 458 of a second.

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    Mass

    Mass measures the amount of matter an object contains. It is NOTthe same thing as weight!

    Mass is measured in kilograms.

    The kilogram is defined by the mass of the international prototype of

    the kilogram stored in Paris.

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    The Scientific Attitude

    The scientific attitude is one of

    inquiry.

    experimentation.

    willingness to admit error.

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    The Scientific Attitude

    Scientists

    are experts at changing their minds.

    must accept experimental findings

    test for erroneous beliefs

    understand objections and positionsof antagonists.

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    Hypothesis

    Hypothesis: An educated guess; a

    reasonable explanation of an observation

    or experimental result that is not fully

    accepted as factual until tested over andover again by experiments.

    A hypothesis is an educated guess about

    how things work: "If _____[I do this]_____, then _____[this]_____ will

    happen."

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    Fact

    Fact: a statement about the world that competent

    observers who have made a series of observations

    agree on.

    A fact is not immutable and absolute, but is generally a

    close agreement by competent observers of a series of

    observations of the same phenomena. The observations

    must be testable.

    Since the activity of science is the determination of the

    most probable, there are no absolutes.

    Facts that were held to be absolute in the past are seen

    altogether differently in the light of present-day

    knowledge.

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    Scientific Law

    Law (principle: a general hypothesis or

    statement about the relationship of natural

    quantities that has been tested over and

    over again and has not been contradicted.

    A scientific law can often be reduced to a

    mathematical statement, such as F=ma;

    it's a specific statement based on empiricaldata, and its truth is generally confined to

    a certain set of conditions.

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    Scientific Theory

    Scientific theory is a synthesis of a large body

    of information that encompasses well-tested and

    verified hypotheses about certain aspects of the

    natural world. It's generally -- though by no means always -- a

    grander, testable statement about how nature

    operates.

    You can't necessarily reduce a scientific theory

    to a pithy statement or equation, but it does

    represent something fundamental about how

    nature works.

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    Scientific Theory

    The theory can be refined, or with new

    information it can take on a new direction.

    It is important to acknowledge the

    common misunderstanding of what a

    scientific theory is, as revealed by those

    who say, But it is not a fact; it is only a

    theory.

    Many people have the mistaken notion

    that a theory is tentative or speculative,

    while a fact is absolute.

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    The Scientific Method is a logical and rational

    order of steps by which scientists come to

    conclusions about the world around them. The Scientific Method helps to organize

    thoughts and procedures so that scientists can

    be confident in the answers they find. Scientistsuse observations, hypotheses, and deductions to

    make these conclusions.

    What is the Scientific Method?

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    The steps of the Scientific Method are:

    Observation/Research

    Hypothesis Prediction

    Experimentation

    Conclusion

    What is the Scientific Method?

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    1. The observation is done first so that you knowhow you want to go about your research.

    2. The hypothesis is the answer you think you'll

    find.

    3. The prediction is your specific belief about thescientific idea: If my hypothesis is true, then I

    predict we will discover.....

    4. The experiment is the tool that you invent to

    answer the question.

    5. The conclusion is the answer that the experiment

    gives.

    What is the Scientific Method?

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    Science, Art, and Religion

    Comparison of science, art, and religion by

    domain:

    Science is of the natural order and involves

    the discovery and recording of natural

    phenomena.

    Art is the interpretation and expression of

    human experience. Religion involves faith and worship of a

    supreme being.

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    Science and Technology

    Science is concerned with gathering and

    organizing knowledge.

    Technologyis the use of scientific

    knowledge for practical purposes and to

    provide tools for further exploration.

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    Errors in Experiments

    Error in experiments have several sources.

    First, there is error intrinsic to instruments of

    measurement.

    Second, there is non-random or systematicerror, due to factors which bias the result in one

    direction.

    No measurement, and therefore no experiment,can be perfectly precise.

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    Random Error

    There is error intrinsic to instruments of

    measurement.

    Because this type of error has equal

    probability of producing a measurement

    higher or lower numerically than the "true"

    value, it is called random error.

    Random errors can be reduced by

    averaging a large number of

    measurements.

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    Systematic Error

    There is non-random or systematic error, due tofactors which bias the result in one direction.

    A reproducible discrepancy between the result

    and "true" value that is consistently in the same

    direction

    Systematic error is sometimes called "bias" and

    can be reduced by applying a "correction" or

    "correction factor" to compensate for an effectrecognized when calibrating against a standard.

    Unlike random errors, systematic errors cannot

    be reduced by increasing the number of

    observations.

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    Accuracy versus Precision

    Accuracy is how close a measured value

    is to the actual (true) value.

    Precision is how close the measured

    values are to each other.

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    Review Questions

    S f

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    a. guide to improving human behavior.

    b. recipe for avoiding conflicts.

    c. process for finding connections in nature.

    d. handbook for establishing truth.

    Science is an organized body of

    knowledge about nature and also a

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    The size of the Moons shadow on

    Earth is

    a. smaller than the size of the Moon.

    b. about the same size as the Moon.

    c. larger than the size of the Moon.

    d. incapable of being observed.

    Th i f b th th M d th

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    a. both have the same diameters.

    b. both are at about the same distance from

    Earth.c. the smaller Moon is closer to Earth than the

    Sun.

    d. both the Moon and the Sun circle Earth.

    The sizes of both the Moon and the

    Sun are the same in the sky, which

    indicates that

    Th i f th i f th S

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    The size of the images of the Sun

    on a sidewalk beneath a sunlit tree

    depends ona. the size of the openings between leaves

    above.

    b. whether or not the openings between leavesare circular.

    c. the distance between the sidewalk and the

    openings between leaves above.

    d. how close the location is to the equator.

    A h th t l

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    A person who says, thats only a

    theory likely doesnt know that a

    scientific theory is aa. guess that involves many facts.

    b. hypothesis of sorts.

    c. vast synthesis of well-tested hypotheses andfacts.

    d. guess that may or may not be factual.

    M i t t th t t f

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    More important than a test for

    proving a hypothesis right is a test for

    a. knowing full well that it is right.

    b. proving more than one way that it is right.

    c. proving it wrong.d. elevating it to a scientific theory.

    Whi h f th i i tifi

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    Which of these is a scientific

    hypothesis (that could be proved

    wrong)?a. Atoms in proper proportions make us feel good.

    b. Atoms are in all the stars in the universe.

    c. An atom is the smallest bit of matter in amaterial.

    d. Distant galaxies have atoms not found on Earth.

    A strength of science is that

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    A strength of science is that

    scientific theories

    a. are fixed.

    b. can change with new data.

    c. are the hypotheses of brilliant people.d. are verifiable.

    A fact in science is something that

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    A fact in science is something that

    a. is forever true.

    b. may change over time.

    c. cannot be denied.d. agrees with ancient records.

    Science is concerned mainly

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    Science is concerned mainly

    with the

    a. natural world.

    b. spiritual world.

    c. difference between right and wrong.d. search for eternal truths.