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Equations:
Newton’s 1
st
Law: F
netx
,
y
= ΣF
x,y
= 0
2
nd
Law: F
netx
,
y
= ΣF
x,y
= m*a
x,y
3
rd
Law: F
Ab
= F
Ba
F = √F
x
2
+ F
y
2
Weight = m*g
W= F*Δy
or
F*Δy*cosθ
or F
x
* Δx + F
y
* Δy
W= F
ext
/A *(A*Δx) = p*ΔV =
–p
0
*(V
f
V
i
)
p= F
perpendicular
/A
p = 1/A*
F
*
n
F = p*A
A
circle
= π*r
2
= (π/4)*d
2
A
sphere
= 4* π *r
2
A
Triangle
= base*height/2
A
cylinder
= 2* π *r*h
E
kin
= ½* m*v
2
E
pot
= m*g*h
v
final
= √(2*W/m)+V
2
initial
y
at top
= E
pot
/(m*g)
Q = c*m*ΔT
or
C*n*ΔT
Q = ΔE
thermal
ΔU
closed
= W+ Q
t = r
2
* ρ *c/ λ
mb
lock
*g*Δy = c
H2O
*m
H2O
*ΔT
ΔT = ΔE
thermal
/ ρ*V*c
Charles’s: V/T
Boyle’s Law: p*V
P=W/Δt = F*Δy/Δt = F*v
V
dead space
/V
total
= f
exhaled
– f
alveoli
/f
inhaled
– f
alveoli
V
tidal
/T
outside
= V
lungs
/ T
lungs
p
pleura
= p
gap
– p
atm
p
alveoli
= p
lungs
 p
atm
PV = nRT
p*V = (m/M)*R*T
n= m/M
M = (m/V)*(R*T/p) = ρ(R*T/p)
M = ρ *V
m=n*M
ρ = n*M/V
U = 3/2R*T = 1/2M*v
2
(For 1 mol J/mol)
ε = 3/2*R/ N
A
*T = 3/2*k*T
v
rms
= √3*R*T/M = √3*k*T/m
p=m*v
2
/V
η= net work/heat input = T
high
– T
low
/T
high
V
air
= h
gas
*A
Fournier’s Law: Q/t = λ*A*ΔT/L
Fick’s Law: m/t = D*A*(Δρ /l)
j = D*A*(Δc/l)
c = ρ/M
Arrhenius’s: ln(D) = ln(D
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 Summer '09
 C.Jones
 Physics, Heat

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