Física 01 Medição e vetores

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http://profanderson.net 
anderson.gaudio@ufes.br 
Prof. Anderson Coser Gaudio 
TecnoLab – Depto. Física – CCE - UFES 
Grandeza 
Unidade SI 
Nome Símbolo 
Comprimento metro m 
Massa quilograma kg 
Tempo segundo s 
Quantidade de substância mol mol 
Temperatura termodinâmica kelvin K 
Corrente elétrica ampère A 
Intensidade luminosa candela cd 
http://www.bipm.org/
http://www.nist.gov/pml/div688/grp50/primary-frequency-standards.cfm
Prefixo Símbolo 10n 
iota Y 1024 
zeta Z 1021 
exa E 1018 
peta P 1015 
tera T 1012 
giga G 109 
mega M 106 
quilo k 103 
hecto h 102 
deca da 101 
Prefixo Símbolo 10n 
deci d 101 
centi c 102 
mili m 103 
micro  106 
nano n 109 
pico p 1012 
femto f 1015 
ato a 1018 
zepto z 1021 
iocto y 1024 
Grandeza 
Unidade 
Nome Símbolo 
Tempo segundo s 
Comprimento pé ft 
Força libra-força lb ou pd 
Massa libra lb ou pd 
http://en.wikipedia.org/wiki/Mars_Climate_Orbiter
http://www.us-metric.org/unit-mixups/
km 1.000 m 1 h m
1,0 0,28
h 1 km 3.600 s s
  
     
   
1.000 m
 1
1 km
 
1 h
 1
3.600 s
 
km
1,0 1 1
h
 
1 km 1.000 m
1 h 3.600 s 
1,00 atm L 1 1  
3
3
2
N m
101 Pa m 101 101 N m 101 J
m

     
5 31,01 10 Pa 1 m
1,00 atm L
1 atm 1.000 L
   
       
   
8 m3,00 10
s

3
1 km
10 m
 
 
 
8
3 8
m 1 km 1 UA 60 s
3,00 10
s 10 m 1,5 10 km 1 min
    
        
     
8
1 UA
1,5 10 km
 
 
 
60 s
1 min
 
  
 
UA
0,12 
min
 
L
velocidade
T

  3volume L
  2
M
densidade
L

 
2
2
ML
energia
T

a b cF m v r
 
j
i k i j k j
c
L
F M L M L T
T
    
 
2
2 1 mvF mv r
r
 
i j k
cF m v r
2
i j k jML M L T
T
 
1
1
2
i
j k
j

 
  
1
2
1
i
j
k


 
i j k
Pt c G h
i j k
Pt c G h
 
3 2
2
j ki
P
L L ML
t
T MT T
    
     
     
5P
Gh
t
c

3 2 2i j k j k i j kT L M T     
3 2 0
0
2 1
i j k
j k
i j k
  
 
   
5 / 2
1/ 2
1/ 2
i
j
k
 


52
P
Gh
t
c

  
 
11 3 2 34 2 2
45
55 8
6,67 10 m /s .kg 6,63 10 kg .m /s
1,35 10 s
3,00 10 m/s
P
Gh
t
c
 

 
   

44
5
5,39 10 s
2
P
Gh
t
c
  
i j k
Pl c G h
i j k
Pm c G h
http://www.ufpa.br/quimicanalitica/precisaoexatidao.htm
http://en.wikipedia.org/wiki/Lunar_Laser_Ranging_experiment
 0, 2 m
12,46 m
-------------
12,66 m


-------------
12,7 m
    21,2 m 3,457 m 4,1484 m 
   60,007231 m 4,31 10 s 1.677,7262 m/s  
24,1 m
31,68 10 m/s 
10nN f 
log10 ff 
log log10 10 10f n n fN   
http://www.profanderson.net/files/problemasresolvidos/testesuacalculadora.php
 ©2002 by John Wiley & Sons 
a b b a  
s a b 
 ©2002 by John Wiley & Sons 
http://faraday.physics.utoronto.ca/PVB/Harrison/Flash/Vectors/Add2Vectors.html
   a b c a b c    
 ©2002 by John Wiley & Sons 
http://faraday.physics.utoronto.ca/PVB/Harrison/Flash/Vectors/Add3Vectors.html
 d a b a b    
 ©2002 by John Wiley & Sons 
http://faraday.physics.utoronto.ca/PVB/Harrison/Flash/Vectors/Subtract2Vectors.html
 ©2002 by John Wiley & Sons 
y y yR A B 
x x xR A B 
 ©2004 by Pearson Education 
http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Flash/Vectors/VectorAddComponents.html
x ya a a i j x yb b b i j
 ©2002 by John Wiley & Sons 
ˆ ˆ
x ya a i a j 
ˆ ˆ
x yb b i b j 
http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Flash/Vectors/UnitVectors/UnitVectors.html
cosa b ab  
 ©2002 by John Wiley & Sons 
http://faraday.physics.utoronto.ca/PVB/Harrison/Flash/Vectors/DotProduct/DotProduct.html
ˆˆ ˆ
ˆˆ ˆ
x y z
x y z
a a i a j a k
b b i b j b k
  
  
   ˆ ˆˆ ˆ ˆ ˆx y z x y za b a i a j a k b i b j b k      
ˆˆ ˆ ˆ ˆ ˆ
ˆˆ ˆ ˆ ˆ ˆ 
ˆ ˆ ˆ ˆˆ ˆ 
x x x y x z
y x y y y z
z x z y z z
a b a b i i a b i j a b i k
a b j i a b j j a b j k
a b k i a b k j a b k k
       
      
     
x x y y z za b a b a b a b   
senc a b ab   
 ©2002 by John Wiley & Sons 
http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Flash/Vectors/CrossProduct/CrossProduct.html
ˆˆ ˆ
ˆˆ ˆ
x y z
x y z
a a i a j a k
b b i b j b k
  
  
   ˆ ˆˆ ˆ ˆ ˆx y z x y za b a i a j a k b i b j b k      
ˆˆ ˆ
det x y z
x y z
i j k
a b a a a
b b b
 
      ˆˆ ˆy z y z z x z x x y x ya b a b b a i a b b a j a b b a k      