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Even though it is impossible to teach all
physics in less than 20 minutes, I recognize
that the vast majority of people don’t need
to understand all physics in all its complex
mathematical glory.
But I do think it helps to know a little bit
of physics because it is so pertinent to your
daily life. Physics is at the core of reality,
and is the core basis of just about all of
the experimental sciences - biology, chemistry,
medicine, architecture, geology, meteorology
and all engineering disciplines.
So I don’t want to simply give you list
of physics. You can easily find that on
Wikipedia. I am going to explain what I think
are the most essential concepts, worth knowing.
Let’s face it, most people who take college
or high school physics are going to forget
most of it after a few years anyway, unless
of course you teacher, have a technical job,
or make youtube videos.
So I am going to explain only those things
I think are most worthy of remembering in
all of physics. That’s coming up, right now...
There are five broad areas of physics that
I think you should know a little bit about:
classical mechanics, energy and thermodynamics,
electromagnetism, Relativity, and quantum mechanics.
Classical mechanics is probably the most pertinent
to your everyday experiences. Here we have
to introduce the father of classical mechanics
Isaac Newton, arguably the greatest scientist
of all time. There are two main concepts worthy
of remembering.
The first is embodied in Newton’s second
law.
F= ma
Force equals mass times acceleration. This
is a deceptively simple equation that has
some huge ramifications. Force in classical
physics, just means a push or pull. Mass is
a measure of inertia, how much something doesn’t
want to change in motion. Acceleration is
a how rapidly your velocity is changing.
If you apply a force to a fixed mass, it tells
you how much acceleration you will get. And
knowing acceleration which is the change in
velocity, you can make predictions, like where
an object will be at a certain time in space.
So with this simple formula for example, I
can predict exactly where this basketball
is, and where it’s going. If I know all
the forces acting on it including the friction
of the air, which is also a force, I can predict
exactly whether or not it will go through
the hoop. This same formula can be used to
determine how much reinforcement you would
need to build a bridge, and how to calculate
the lift of a rocket. It is an extremely powerful
equation
Force is not a material thing. It is a measure
of interaction. Your body doesn’t have a
force. It has a mass. Your weight is the force
your body exerts on the ground. Technically
you don’t weigh 80 kilograms because that’s
your mass. You should be saying you weigh
784 Newtons, which is your mass times acceleration
of gravity on earth 9.8 m/s^2.
To give you an idea of scale, one Newton of
force is equivalent to the force you would
feel on your palm if you were holding a small
apple.
The second equation, also from Newton, is
the law of universal gravitation. it allows
us to determine the motion of heavenly bodies,
like the moon orbiting the earth or planets
orbiting stars. It basically says that the
gravitational attraction between two bodies
is the product of their masses divided by
the distance between them squared, times a
constant, called Newton’s gravitational
constant. It tells you that gravitational
attraction diminishes rapidly as objects move
apart because it’s proportional to the inverse of
distance squared.
This was a revelation when Newton formulated
it, because it explained mathematically the
movement of all heavenly bodies. It still
works very well today.
The ideas around Energy came about 100 years
after Newton. It may be the most important
idea in physics. Energy is not a vector like
force or momentum. It doesn't have direction, but it is a number.
Work is closely related to energy. It has
the same units. Work is force times distance
traveled.
One newton times one meter is one joule. If
you lift a small apple one meter, that takes
one Joule of energy or work. Energy is really
a measure of how much work you can do. Work
is simply transferring energy from one form
to anther.
Energy for most objects consists of kinetic
energy plus potential energy. Kinetic energy
is the energy of motion. It is expressed as
one half times the mass times velocity squared.
E = ½ M V^2 – the more mass you have and/or
the more velocity you have, the more energy
you have. Velocity makes a bigger difference
in energy than mass. Going from 80 miles per
hour to 60 miles per hour reduces your car’s
energy by almost 50%, which means that in
an accident, you have a much higher chance
to survive going 20 miles per hours slower.
If you are carrying your phone and you accidentally
drop it from rest onto concrete, your phone
is probably going to be damaged. But where did
the energy come from to damage it?
The phone had
what is called potential gravitational energy
when you were holding it near your ear. The
potential energy was converted to kinetic
energy as it fell.
Gravitational potential energy is expressed
as mass times the gravitational
acceleration times the height. This is really
another way to express force times distance, or work.
This potential energy gets converted to work
or a force acting on the glass which breaks
it when the phone hits the floor. So the total
energy of an object is both Kinetic energy
plus potential energy. Potential energy can
take many forms. Gasoline or petrol for example
has chemical potential energy.
The biggest thing you should remember about
energy is that energy is always conserved.
It is not created or destroyed. It only changes
form.
Talk about energy leads naturally to thermodynamics,
which is the study of work, heat, and energy
on a system.
The biggest concepts worthy of remembering
is flow of heat. We defined energy
as how much work you could do. But another
form of energy is thermal energy.
If a car is moving and you apply the brakes,
the kinetic energy of the car becomes zero.
Where did that energy go? It did not go into
gravitational potential energy. And it is
not stored in the car somewhere. Did it disappear?
No, it was converted to thermal energy, created
by friction of the car’s brakes. Heat is
a flow of thermal energy from one object to
another.
Thermal energy created by the brakes raises
the kinetic energy or movement of molecules
in the air, this results in a temperature
increase of the surrounding air. This is ultimately
where the kinetic energy of your car ends
up after you come to a stop.
Temperature is the average kinetic energy
of atoms in a system. Thermal energy is the
total amount of kinetic energy of atoms in
a system.
Another concept in thermodynamics is the idea
of entropy. Entropy is a measure of disorder,
but more accurately, it is a measure of the
information required to describe the micro
states of a system. The 2nd law of thermodynamics
states that the entropy of an isolated system
can never decrease.
If you put two liquids together in a bucket, and
one is very cool and the other is very hot,
why can’t you get it such that the cold
part gets colder and the hot part gets hotter?
Energy could still be conserved because the
decrease in thermal energy of the cold water,
could be offset by the increase in thermal
energy of the hot water. The reason this does
not happen is because of the 2nd law. The
universe is on an inexorable path to higher
and higher entropy, or more and more disorder.
Practically what this law tells us is that
some energy is more useful for doing work
than others. Energy at lower entropy can do
more work than energy at higher entropy. For
example, the energy stored in gasoline is
more useful for doing work, than the thermal
energy that is dissipated from the brakes
of your car. An orderly energy is more useful
than one that is less orderly.
The heat and exhaust from the car will not
spontaneously rearrange itself to become the
gasoline. But gasoline can be converted to
heat and exhaust. It is important to remember
the words “isolated system” – If you
put a glass of water in the freezer, it will
decrease in entropy. But the freezer is not
an isolated system because the refrigerator
uses energy from electricity to cool the inside.
It increases entropy of the room by heating
up the room more than cooling what's inside the refrigerator.
You should also remember this fact: The one
way flow of Entropy appears to be the only
reason we have a forward direction of time.
Electromagnetism is the study of the interaction
between electrically charged particles. The
essential concepts are embodied in Maxwell’s
equations.
Objects have something called a charge. We
don’t know what it is. It is just a property
of certain types of matter such as electrons.
If a large object has a negative charge, this
means it has more electrons than protons.
The first concept I want you to understand is
that if you have a static object with a charge,
it will affect only other charges. And if
you have a static magnet, it will affect only
other magnets. It will not affect charges.
But if you have a moving charge, it will affect
a magnet. And if you have a moving magnet,
it will affect a charge.
At the simplest level of description, that’s
what these four equations are all about.
The first equation says that if you have an
electrical charge, there will be an electric
field emanating from it.
The second equation is basically the same
concept for magnets, except that magnets will
always have as many field lines going out,
as coming back in. Another way to say this
is that magnets will always have 2 poles, a positive
and negative pole. It can never be a monopole.
You can keep breaking up a magnet, but it
will always form a new magnet with 2 poles.
The third equation says that if you move a
magnet, you will create an electrical field.
This means that if a charge is nearby, it
will feel a force. This is how electricity
is generated – by moving magnets.
The 4th equation says, that a moving charge
or moving electrical fields create a magnetic
field. I want you to take note of
the constants mu naught and epsilon naught
are the permeability and permittivity of free
space, respectively. These two constants determine
the speed of light because they measure the
resistance of space to changing electrical and
magnetic fields.
This brings us to Albert Einstein and his theory of relativity, who ushered in a revolution in physics.
Interestingly, the title of his 1905 paper on special relativity was called, “On the electrodynamics of moving
bodies.” This tells you how tied this theory
is to Maxwell’s ideas. Einstein thought
that if the speed of light was determined
by two constants, mu naught and epsilon naught,
then the speed of light is a constant too,
and may not change in any frame of reference.
This was one of the postulates of special
relativity.
The second postulate was the principle of relativity,
meaning the laws of physics are the same for
all observes who are moving at the same velocity
relative to each other. If these two assumptions
were correct, this had some major implications.
Suppose you are stationary next to a train
moving at 0.5C, half the speed of light, and
you turn on a flashlight in the direction
of the moving train. Suppose another person
is on the train and turns on an identical
flashlight at the exactly same moment. If you
saw the light beam on the train, you might
think that it should be moving at 1.5 times
the speed of light. But it doesn’t. It moves
at exactly 1 times C. Does this mean that
the man on the train sees the speed of light moving
at one half the speed of light? No - because of the principle of relativity, he
also sees the beam of light from his flashlight
travelling at exactly C. This appears to be
a paradox. How can these two observations
be reconciled?
What Einstein showed is that the only way
this can happen is if time for the person
on the train slows down from the perspective
of someone standing still. This was the crucial
paradigm shifting insight that he unleashed
on humanity. Time was not fixed. It was relative.
Later, Einstein, with his theory of general
relativity, showed using the same general
assumptions, there would be no way to tell
if you were in an accelerating reference frame,
or standing stationary on earth. So for example, if you were on a spaceship moving at the same
acceleration as gravity, 9.8 meters per second squared, and you held a flashlight perpendicular
to the direction of acceleration, the light
would appear to bend, because the wall would
be rushing upwards at ever faster speeds.
This means that if you were anywhere on earth
standing still, and you did the same experiment, your light beam would also appear to bend
because the acceleration due to gravity is
9.8 meters per second squared.
But since light always takes the shortest
path between any two points, this means that
space-time itself must be bending in order
for light to take that path. The bent path
is shortest path, just like the shortest paths
on the surface of earth are bent. So space-time
must curve in the presence of gravity.
I find it ironic that Einstein, although he was one of the founders of quantum mechanics because
he showed that light came in packets of energy,
called quanta. We now call them photons. Yet,
he largely stayed resistant to the main implication
of quantum mechanics – and that is the idea
of a probabilistic and non-deterministic nature
of quantum particles.
There are many equations in quantum mechanics,
but in my view there three principles that
are the most important to remember. And they
are expressed in three equations.
The first equation was championed by Max Planck,
arguably the father of quantum mechanics.
It says that energy is not continuous, but is
quantized. The energy absorbed or emitted
by materials can only occur in distinct quanta
of energy. And the amount of energy equals
the frequency of the radiation times a constant,
called Planck’s constant. Using this concept,
Einstein later showed that a photon is both
a wave and a particle.
The second idea is expressed by the Heisenberg
uncertainty principle. It basically says that
you cannot know both a particle’s exact
position and it’s exact momentum at the
same time. For a particle with mass, this
means that if you know exactly where a particle
is, you don’t know how fast going. And if
you know exactly how fast it’s going, you
have no idea where the heck it is. There is
an inherent uncertainly associated with quantum
particles.
The third idea comes from the Schrodinger's
equation. It basically says that prior to
measurement, quantum systems are in superposed
states. This means that their properties can
only be expressed in terms of a wave function.
A wave function crudely simplified is a set
of probabilities. So for example, in a hydrogen
atom, you can’t know where to find the electron
in advance.
All you can know is the probability of where
you might find it, if you measured it. Prior
to measurement, all quantum systems are 3
dimensional clouds or waves of probabilities.
The electron is everywhere at once. It’s
not here or there. It is here AND there. This
is not a limitation of our measuring devices.
It is a limitation of reality. And this is
the reason quantum systems behave so mysteriously
in the double slit experiment.
A quantum system can be an elementary particle
like an electron, or even atoms and molecules
that are sufficiently isolated. Isolated means
that they haven’t interacted with something
that would cause their wave function to collapse.
This is the non-deterministic reality that
Einstein had a hard time accepting, and indeed
many people today, still have a hard time accepting.
But the universe has no obligation to
make sure we feel comfortable about the true
nature of reality.
This is just one bald ape’s opinion about
what he thinks are the most important concepts
in physics worth remembering. I hope you found
it useful.
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I will see you in the next video my friend...
