Introduction To Physics-Classical Physics-Handouts, Lecture notes of Classical Physics

This course includes alternating current, collisions, electric potential energy, electromagnetic induction and waves, momentum, electrostatics, gravity, kinematic, light, oscillation and wave motion. Physics of fluids, sun, materials, sound, thermal, atom are also included. This lecture includes: Induction, Physics, Science, Classical, Mechanics, Electromagnetism, Thermal, Quantum, Quantity, Dimension, Expansion, Distribution

Typology: Lecture notes

2011/2012

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PHYSICS –PHY101 VU
© Copyright Virtual University of Pakistan
4
Summary of Lecture 1 – INTRODUCTION TO PHYSICS
1. Physics is a science. Science works according to the scientific method. The scientific
method accepts only reason, logic, and experimental evidence to tell between what is
scientifically correct and what is not. Scientists do not simply believe – they test, and
keep testing until satisfied. Just because some “big scientist” says something is right, that
thing does not become a fact of science. Unless a discovery is repeatedly established in
different laboratories at different times by different people, or the same theoretical result
is derived by clear use of established rules, we do not accept it as a scientific discovery.
The real strength of science lies in the fact that it continually keeps challenging itself.
2. It is thought that the laws of physics do not change from place to place. This is why
experiments carried out in different countries by different scientists – of any religion or
race – have always led to the same results if the experiments have been done honestly and
correctly. We also think that the laws of physics today are the same as they were in the
past. Evidence, contained in the light that left distant stars billions of years ago, strongly
indicates that the laws operating at that time were no different than those today. The
spectra of different elements then and now are impossible to tell apart, even though
physicists have looked very carefully.
3. This course will cover the following broad categories:
a) Classical Mechanics, which deals with the motion of bodies under the action of
forces. This is often called Newtonian mechanics as well.
b) Electromagnetism, whose objective is to study how charges behave under the
influence of electric and magnetic fields as well as understand how charges can
create these fields.
c) Thermal Physics, in which one studies the nature of heat and the changes that the
addition of heat brings about in matter.
d) Quantum Mechanics, which primarily deals with the physics of small objects such
as atoms, nuclei, quarks, etc. However, Quantum Mechanics will be treated only
briefly for lack of time.
4. Every physical quantity can be expressed in terms of three fundamental dimensions:
Mass (M), Length (L), Time (T). Some examples:
1
2
2
22
12
Speed
Acceleration
Force
Energy
Pressure
LT
LT
MLT
M
LT
M
LT
You cannot add quantities that have different dimensions. So force can be added
to force, but force can never be added to energy, etc. A formula is definitely
wrong if the dimensions on the left and right sides of the equal sign are different.
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Summary of Lecture 1 – INTRODUCTION TO PHYSICS

  1. Physics is a science. Science works according to the scientific method. The scientific method accepts only reason, logic, and experimental evidence to tell between what is scientifically correct and what is not. Scientists do not simply believe – they test, and keep testing until satisfied. Just because some “big scientist” says something is right, that thing does not become a fact of science. Unless a discovery is repeatedly established in different laboratories at different times by different people, or the same theoretical result is derived by clear use of established rules, we do not accept it as a scientific discovery. The real strength of science lies in the fact that it continually keeps challenging itself.
  2. It is thought that the laws of physics do not change from place to place. This is why experiments carried out in different countries by different scientists – of any religion or race – have always led to the same results if the experiments have been done honestly and correctly. We also think that the laws of physics today are the same as they were in the past. Evidence, contained in the light that left distant stars billions of years ago, strongly indicates that the laws operating at that time were no different than those today. The spectra of different elements then and now are impossible to tell apart, even though physicists have looked very carefully.
  3. This course will cover the following broad categories: a) Classical Mechanics , which deals with the motion of bodies under the action of forces. This is often called Newtonian mechanics as well. b) Electromagnetism , whose objective is to study how charges behave under the influence of electric and magnetic fields as well as understand how charges can create these fields. c) Thermal Physics , in which one studies the nature of heat and the changes that the addition of heat brings about in matter. d) Quantum Mechanics , which primarily deals with the physics of small objects such as atoms, nuclei, quarks, etc. However, Quantum Mechanics will be treated only briefly for lack of time.
  4. Every physical quantity can be expressed in terms of three fundamental dimensions: Mass (M), Length (L), Time (T). Some examples:

1 2 2 2 2 1 2

Speed Acceleration Force Energy Pressure

LT

LT

MLT

ML T

ML T

− − − − − −

You cannot add quantities that have different dimensions. So force can be added to force, but force can never be added to energy, etc. A formula is definitely wrong if the dimensions on the left and right sides of the equal sign are different.

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v 0

  1. Remember that any function f ( ) x takes as input a dimensionless number x and outputs a

quantity f (which may, or may not have a dimension). Take, for example, the function

f ( ) θ = sin θ. You know the expansion:

3 5 sin 3! 5!

θ = θ− + − ⋅⋅⋅ If θ had a dimension

then you would be adding up quantities of different dimensions, and that is not allowed.

  1. Do not confuse units and dimensions. We can use different units to measure the same physical quantity. So, for example, you can measure the mass in units of kilograms, pounds, or even in sair and chatak! In this course we shall always use the MKS or M etre- K ilogram- S econd system. When you want to convert from one hsystem to another, be methodical as in the example below:
  2. A good scientist first thinks of the larger picture and then of the finer details. So, estimating orders of magnitude is extremely important. Students often make the mistake of trying to get the decimal points right instead of the first digit – which obviously matters the most! So if you are asked to calculate the height of some building using some data and you come up with 0.301219 metres or 4.01219× 106 metres, then the answer is plain nonsense even though you may have miraculously got the last six digits right. Physics is commonsense first, so use your intelligence before submitting any answer.
  3. Always check your equations to see if they have the same dimensions on the left side as on the right. So, for example, from this principle we can see the equation v^2 = u^2 + 2 at is clearly wrong, whereas v 2 = u^2 + 13 a t^2 2 could possibly be a correct relation. (Here v and u are velocities, a is acceleration, and t is time.) Note here that I use the word possibly because the dimensions on both sides match up in this case.
  4. Whenever you derive an equation that is a little complicated, see if you can find a special limit where it becomes simple and transparent. So, sometimes it is helpful to imagine that some quantity in it is very large or very small. Where possible, make a “mental graph” so that you can picture an equation. So, for example, a

-(v-v ) 02 /^2

formula for the distribution of molecular speeds in a gas could look like (v) v. Even without knowing the value of a you can immediately see that a) (v) goes to zero fo

f e^ a

f

0

r large values of v, and v 0. b) The maximum value of (v) occurs at v and the function decreases on both side of this value.

f

When you write it out in this manner, note that various quantities cancel out cleanly in the numerator and denominator. So

mi mi ft m hr m hr hr mi ft s s

= × × × =

you never make a mistake!

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