Physics 10 Lecture 1
Professor Smoot's Class
Things that students should expect to get from taking Physics10:
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A basic understanding of science in general and physics in particular.
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Science is a human endeavor.
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Skills and Confidence to apply science (physics) to your life.
There is more on these topics below.
Physics As a World View
The text book is Physics: A World View. Indeed, physics is a world
view. It is a way of looking at the world and its events. One takes a specific
and systematic approach towards understanding and explaining events.
Why should we view physics (science) as an important world view worth
learning? Some of you have learned that the general present view is that
every culture's world view is equally valid in its own frame of reference.
This is called `Cultural Relativism' and is generally held to be a useful
view. In a more extreme form it is what is referred to as `Political Correctness.'
Why does the University have a science elective requirement? What is there
about science and physics, in particular, that makes them so important?
After all there have been some that criticize science as being a Western
white-male-dominated and biased system. There are two reasons:
First, science (physics) is a very powerful world view. As an example,
how many of you have flown? (Most students raise their hands.) How many
of you have flown on something besides an aircraft built based upon scientific
principles using standard engineering and technology? (No students raised
their hands.) This is just one example out of many you can see around you
from the electronics, telecommunications and computer technology you use
everyday to automobiles, elevators, and other complicated mechanical devices.
It does not take very long to realize that nearly all the sophisticated
devices you utilize everyday are based upon the principles of science and
the technology and engineering that accompany those principles. Physics
is the study of the fundamental principles of the physical sciences. As
far as world views go, it is clear that science is in the first rank.
Second, science is an interesting world view in that it is based upon
a self-correcting system. It is a part of the operation of science to do
experiments to compare the world view, i.e. scientific models, with the
actual world in the form of the results of controlled, well executed experiments.
This is a form of natural selection of the world view or scientific knowledge.
Often may models are proposed and the one that best fits the observations
is the one that is kept. Science is a human invention that is very parallel
to Natural Selection. The `knowledge' or `model' is the information encoded
in genes. The comparison of this `world view' is handled by natural selection.
Small or large variations in the genetic world view material is subject
to the test of survival.
Supplements to the Text
There are two supplements to the text which you receive at no additional
charge when you purchase a new text. These are not mandatory but are useful
for you. The first is Environmental Issues which is a very nice
write-up of some very important issues and it has a section on resources
for your future reference. As you should learn in this course environmental
issues are likely to be very important for most of your life. This will
require learning about exponential growth and entropy.
One of the things that makes physics (science) so powerful as a world
view is its ability to predict and describe things accurately. Ultimately,
this requires expressing them in terms of numbers. The second supplement
A
Numerical World View provides assistance and a review of basic math,
i.e. up to simple algebra, with material directly related to the text book
and problems. This will allow working of problems with numerical answers.
The course is not based on grinding through calculations; however, sometimes
one cannot truly understand a concept without determining a numerical answer,
including proper units. and
What Students Should Get From This Class
A few general comments. First the course will teach students how to think
about
scientific issues. Despite the fact that many call Physics 10 "Physics
for Poets", I call it "Physics for Congressmen" because that seems to represent
more accurately the enrolled population. The course is designed for intelligent
people - the kind of student at UC Berkeley. Finally, the class should
be fun and enlightening.
A basic understanding of physics.
Physics is the fundamental basis for all of the sciences, including chemistry
and biology. It lays the ground work for these disciplines, and provides
general principles that can be applied across the board. Physics is also
something of great intellectual interest. College is one of the only times
in a person's life, when they learn solely for the sake of learning, rather
than for some immediate application, this course should satisfy your intellectual
curiosity as well as provide a fundamental framework and foundation of
knowledge. Physics represents one of the great intellectual achievements
of mankind.
Science is a human endeavor.
Science is a human endeavor in many ways, meaning that as a discipline,
it has imperfections. For example, there are successes and failures in
science, and some people make fantastic discoveries and advances but may
also participate in terrible acts. Science is not as clean-cut as it may
seem; there is a great deal of personality to it. On the other hand, science
is an organized system, and much like a corporation, it allows many different
people to contribute and make advances, e.g. discoveries.
Skills and Confidence to use physics in your life.
From this course you should acquire the skills and the confidence to apply
science (physics) to your life, perhaps not in a specific way but in a
general way. One such area might be the environment; another is being able
to understand and evaluate scientific articles that appear in newspapers
and magazines. Much legislation involves science and one must be informed
enough to be able to make educated judgements on these issues.
General Statements about Science
Fundamental Basis of Science
There is no fundamental basis for science, a fact that most scientists
are loathe to admit. Science used to be called "Natural Philosophy," but
over time a split between science and philosophy occurred, and eventually
science became the part that claimed "things that are true" or "things
that are known to be true." (This, of course, was to the dismay of philosophers.)
Despite this description, there is no fundamental basis for science. For
example, just because the sun rose today, and every day for 4 billion years,
does not mean it will rise tomorrow. The way nature works may well change
at any time. Despite this, scientists make the logical bet that the fundamental
way that the physical world operates is independent of time.
"Order to Nature"
The are two important features necessary for science: order in nature and
objective reality. The idea that nature follows a logical order does not
seem so strange to us. However, we are living in a world long used to the
idea. The ancient Greek Pythagoreus (famous for the Pythogorean theorem)
started a school of followers based on the notion that nature can be described
by numbers and followed a regular pattern, hence the term "order of nature".
This was threatening to the leaders of the various religious sects devoted
to the different Greek gods, since if Pythagoreus's idea became popular
and believed, the public would no longer follow the gods and would cease
making offerings and devotions. The end result was that Pythagoreus was
exiled to Italy where he lived until 80 and continued teaching his following.
We also assume that the rules that describe the order of nature are
basically simple - meaning that humans can eventually discover.
Objective Reality
Objective reality has to do with the idea that events may be different
depending upon one's point of view. At some level our interpretation depends
upon our view but the description of the actual things that happen during
an event are held to be the same independent of the beliefs or interpretation
of the observers. In science, if one person demonstrates a principle, a
competent observer should be able to repeat the demonstration and get the
same results. We have to be careful to distinguish between what happened
and our interpretation of what happened. There is a certain skill and experience
needed to determine what is the objective reality of an event and what
is our interpretation of the event. The following demonstration will help
to illustrate this point.
Demonstration
Demonstration: Objective Reality
This is an attempt to describe the objective reality of the demonstration.
schematic of floating bag experiment.
The professor lights a Bunsen burner and places it under a long pipe.
A thin polyethelene (dry cleaners bag) with a wide mouth is placed over
the top of the long pipe. The bag begins to swell up until it appears full
and stands up straight. When it is released, it rises toward the ceiling
of the room. It then tips, collapses together and slowly falls back to
the table or floor.
What happened? That is what we try to describe in a way that
that all competent observers would agree upon. That is the objective reality.
Why did it happen? is a question that requires interpretation.
It calls for an explanation.
Nature of an Explanation
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Animistic: Animism is the belief that natural objects are alive
and have souls, so one possible explanation is that the bag rose because
it wanted to escape the heat. This is a common explanation, particularly
for children. To them things are alive, and have a will of their own. The
bag being able to rise is no more surprising than the child is able to
walk to the door.
The animistic world is a chaotic world. All natural objects behave
according to their whims. You would not be able to expect to tell what
the bag will do next any better than you can tell what the child , changeable
creature that he is, will want to do in five minutes.
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Magic: Magic is the art of producing effects or controlling events
by charms, spells, and rituals.
This is great if you are in the sorcerer's club. The explanation of
what happened would then be "The lecturer is a wizard, who knows a secret
trick.". A magician can make the event happen by the use of some incantation,
special formula, or sleight of hand. The teacher knows them and is able
to astonish his audience. The image of the scientist-as-parlor magician,
capable of doing all sorts of tricks is still current. A century or more
in the past, it was common for scientists to earn their living giving lecture
demonstrations with lots of sparks, flames, and chemicals foaming.
The idea that one can control things by learning the right secrets
is very powerful and appealing.
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Supernatural: Supernatural things are those caused by supposed forces
beyond the normal, known forces of nature. The bag rose because " a
miracle occurred". This could be because the gods, God, or some Being
or Power has intervened in the natural order of things and thus caused
events to occur that would not ordinarily .
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Theistic: Theism is the belief in a God who is the creator and ruler
of the Universe. The bag rises because "It is the will of God." Whether
or not it was a miracle, all things happen according to a scheme ordained
by a Supreme Being. If there are Natural Laws obeyed by all nature, then
it is He who established them. And if events take place in violation of
these laws, it is He alone who is responsible. In the end, all actions
that take place do so because He willed them, and direct or indirectly
made them happen. An omnipotent God could either personally intervene in
everything or ordain a system that would do them.
Many sincere people, including scientists, hold these or similar beliefs.
Generally, scientists operate on the assumption that individual intervention
is not the rule but that all things follow Natural Laws. The scientist
seeks to find those laws. From the typical scientist's point of view appealing
to constant intervention explains too little because it explains too much
- namely everything. If everything is due to Divine will, and if that will
is beyond human knowing, then we know nothing at all. If, on the other
hand, the deity originally established the natural system, and the laws
of nature, however, established are now universally obeyed, then it is
the goal of the scientist for determine those laws. It is a generally unspoken
tenet of science that such laws do exist, and that they are basically simple.
(see
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Teological: Teological means directed towards a definite end, or
having an ultimate purpose. The bag rises because "It is the nature of
warm air to rise." This is a quotation nearly direct from Aristotle.
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Empirical: Empirical means based upon practical experience. One
observes or does and experiment such as the demonstration repeatedly and
carefully determine the objective reality. After compiling a substantial
body of experience we summarize it in terms of principles and laws. For
example, we can do the demonstration 50 times and see we get nearly the
same result within certain limits. We then vary the one parameter and repeat
many times and repeatedly get the same objective reality but slightly different.
After many such variations and trials, we find the important parameters
describing the behaviour and find that we can with two simple principles
explain the objective reality for all our experiments.
Physical Principles and Laws
In this case the two principles are
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Archimede's Principle
A body immersed in a fluid is buoyed up by a force
equal to the weight of the displaced fluid.
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Gay-Lusssac's (or Charles') Law
A gas that is heated (or cooled) at
constant pressure will expand (or contract) in direct proportion to the
increase (or decrease) in temperature.
Applying these two principles to the hot air bag is straightforward. When
the air is heated, according to Gay-Lussac, it expands. Thus, it displaces
a quantity of cooler air, outside the bag, that is heavier than the warm
air inside. According to Archimede's principle, the immersed body (namely
the bag of warm air) is buoyed up by a force that is greater than its weight.
Therefore the bag rises to the ceiling. When the air cools or when the
bag tips and the warm air leaks out, the weight of the bag is sufficient
to cause it to descend.
Archimede's principle and the law of Gay-Lussac are examples of empirical
laws. The have the form: "When A happens, B follows." An empirical
laws describes, as accurately as possible, what takes place. It
does not usually give much insight into why it should be true.
This type of explanation is characteristic of relatively new fields of
science.
More developed areas have models and theories that give more insight
and connections to other bodies of knowledge. A good example of this is
the kinetic theory of gases which we will study later in the course. It
holds that gases are made of atoms and molecules and that these obey Newton's
three laws of motion. From these assumptions we can derive Archimede's
principle and Gay-Lussac's law and from that predict that the bag with
the heated air inside will rise when the combined weight of the bag and
the heated air is less than the weight of the displaced ambient air.
Scientific Theories & Models
The next lecture will talk about theories and the criteria for their acceptance,
use and begin on the description of motions.
The explanation of an event or result is done by theory. The
theory is comprised of a model and relevant principles.
An example is the kinetic theory of gases which holds that gases (fluids
more generally) are comprised of atoms and/or molecules which move and
interact according to Newton's laws. From this model we will be able to
derive the model of a fluid and an ideal gas and then consequently Archimede's
Principle and Gay-Lussac's ideal gas law. The model is that the gas is
a collection of atoms and the principles are the manner of their interactions.
Criteria for Acceptance of a Theory (explanation):
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Reducibility - A new theory must be as good as the old theory. If
there is a large body of experience that is well explained by the old theory,
then the new theory must reduce to the old theory in the range of its applicability.
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Novelty - The new theory must be better than the old. Giving the
same results as the previous theory is not enough. If the old theory and
the new theory give the same predictions in all cases, they are said to
be equivalent. The choice between them is a matter of taste. If a new theory
is to replace the old, normally, it must add something new to our understanding.
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Testability - It should be possible to determine whether a theory
is correct. Physics is an experimental science. This means that a theory
must stand or fall based upon the results of experiments that have not
already been performed.
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Elegance - A theory of nature should be beautiful. A
new theory should incline toward a particularly brief , powerful, and universal
statement of its principles.
Demonstration
Liquid Nitrogen Shrinking an Inflated Balloon
Liquid nitrogen is poured on a balloon inflated with air. The balloon shrinks
down much smaller, practically collapsed. When the balloon warms it expands
back to its original size.
(photo) illustration of Guy Lussac's law.