AGENDA
• Use the SI system of measurements
• Convert from one system of units to another system of units • Determine the number of significant figures in the analysis and measurements
• Understand the meaning of vectors
• Graphically add and subtract vectors
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CLASSICAL MECHANICS
• Isaac Newton’s Principia (1687)
• Applications
Astronomy, chemistry, geology, engineering
• How and why things work
• Classical
Not too fast ( v > atom)
STANDARD UNITS
• Physics is based on measurement
• Three fundamental quantities
Length
Mass
Time
• mks system of units (1960)
• cgs system of units
• Derived units
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SYSTEM OF UNITS
• SI (Systėm International) Units
mks
L = meters;
M = kilogram; T = seconds
• British Units
L = inches; M = slugs (pounds) lb; T = seconds
• Gaussian Units
cgs
L = centimeter; M = gram; T = seconds
Know How to Convert!
PREFIXES FOR POWER OF TEN
Power
Prefix
Abbreviation
10-18
atto
a
10-15
femto
f
10-12
pico
p
10-9
nano
n
10-6
micro
10-3
milli
m
10-2
centi
c
103
kilo
k
106
mega
M
109
giga
G
1012
tera
T
1015
peta
P
1018
exa
E
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MEASUREMENTS ARE IMPORTANT
• Spacecraft launched (12-111998) to study Mars
• Burned up in Mars atmosphere
(09-23-1999)
NASA (09-30-1999) issues a statement, stating that a likely cause of mission failure is the use of incompatible scientific units among engineering teams
(English units versus metric units). • Cost of the mission was about
650 million dollars https://resources.tstc.edu/j/BEST/public/26/Team_engineering_case_study.pdf SIGNIFICANT FIGURES
• Significant figure refers to the number of digits that actually have meaning as a result of measurement
All non-zero digits are significant
Leftmost non-zero digit is the most significant digit
All digits in scientific notation are significant
Exact numbers have zero uncertainty
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SIGNIFICANT FIGURES -