Chapter 1
Physics, the
Fundamental Science
Lecture PowerPoint
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Objectives of Physics
To find the limited number of fundamental
laws that govern natural phenomena
To use these laws to develop theories that
can predict the results of future
experiments
Express the laws in the language of
mathematics
Mathematics provides a bridge between
theory and experiment
Physics predicts how nature will behave in one situation
based on the results of experimental data obtained in
another situation.
Physics experiments involve the measurement
of a variety of quantities.
These measurements should be accurate and
reproducible.
Physics is exact science
The first step in ensuring accuracy and reproducibility
is defining the units in which the measurements are
made.
Subfields of Physics
Classical Physics
Mechanics - forces and motion
Thermodynamics - temperature, heat, energy
Electricity and Magnetism
Optics - light
Modern Physics
Atomic physics - atoms
Nuclear physics - nucleus of the atom
Particle physics - subatomic particles: quarks, etc
Condensed matter physics - solids and liquids
Units
To communicate the result of a
measurement for a quantity, a unit must
be defined
Defining units allows everyone to relate
to the same fundamental amount
System of Measurement
Standardized systems
agreed upon by some authority, usually a
governmental body
SI -- Systéme International
agreed to in 1960 by an international committee
main system used in this text
also called mks for the first letters in the units of
the fundamental quantities
Length
Units: SI – meter, m
Mass
Units: SI – kilogram, kg
Time
Units: SI – seconds, s
Electric Current
Units: SI – Ampere, A
There are three base units more, but we
are not going to use them (mole, kelvin
and candela)
Fundamental Quantities
and Their Units
Quantity
SI Unit/abbreviation
Length
Meter (m)
Mass
Kilogram (kg)
Time
Second (s)
Electric Current
Ampere (A)
Absolute Temperature
Kelvin (K)
Luminous Intensity
Candela (Ca)
Amount of Substance
Mole (M)
Prefixes
Prefixes correspond to powers of 10
Each prefix has a specific name
Each prefix has a specific abbreviation
The General Conference on Weights
and Measurements recommended the
prefixes shown
Examples:
Write the following lengths in meters :
a)
b)
c)
d)
e)
62.8 km = 62.8*103 In Scientific Notations 6.28*104
33.3 nm = 33.3*10-9 m;In Scientific Notations 3.33*10-8
13.6mm =13.6*10-6 m In Scientific Notations 1.36*10-5
2.5 mm = 2.5*10-3 m
3.1 *103 cm = 3.1*103*10-2 = 31 m
Write each of the following numbers
using the appropriate prefix:
a) 1.2*106 Hz = 1.2MHz
b) 3.2 *10-9 s = 3.2 ns
c) 4.5 *103 m = 4.5 km
d) 6.8 *10-3 m = 6.8 mm
Dimensional Analysis
Technique to check the correctness of
an equation dimensionally
Cannot give numerical factors: this is its
limitation
Dimensions (length, mass, time,
combinations) can be treated as
algebraic quantities
add, subtract, multiply, divide
Both sides of equation must have the
same dimensions
Example
x= vt2 x is the distance in meters, v is the speed in
m/s and is the time in seconds. Is this equation
correct dimensionally?
Distance is in meters thus the right hand side of the
equation MUST be in meters.
x= vt2
m m/s*s2= m/s ; the left hand side is in meters the
right hand side is m/s thus this equation is NOT
correct.
Example:
x= 1/2at2 Is this equation correct dimensionally?
m =m/s2*s2 =m thus this equation is correct
a= acceleration iti sin m/s2
Conversions
When units are not consistent, you may
need to convert to appropriate ones
Units can be treated like algebraic
quantities that can “cancel” each other
See the inside of the front cover for an
extensive list of conversion factors
Example: A car travels through a school zone
at a speed of 25mil/h. What is this speed in
km /h, and in m/s?
Conversion factors: 1 mil=1.6 km,
1km=1000m
25mil*1.6km/mil.h = 40 km/h
40km/h *1000m/km *1/(60*60)s/h=11.11 m/s
Pythagorean Theorem
The sides of a right angle triangle are
related according to Pythagorean
Theorem as follows;
r2 = x 2 + y 2
r
y
x
Problem Solving
Strategy
Rules for rounding off numbers
Consider the first number to the right of
the required number if
This number is less than 5, then the
preceding digit remains the same
Example: 2.674998765 2.67
If this number equal to or greater than 5
then add one to the preceding digit.
2.350012.4