Dr. Hoselton & Mr. Price
Page 1 of 8
Version 5/12/2005
#3
Components of a Vector
if
V = 34
m/sec
∠
48°
then
V
i
= 34
m/sec•
(cos 48°); and V
J
= 34
m/sec•
(sin 48°)
#4
Weight = m
•
g
g = 9.81m/sec²
near the surface of the Earth
= 9.795 m/sec² in Fort Worth, TX
Density = mass / volume
()
3
/
:
m
kg
unit
V
m
=
ρ
#7
Ave speed = distance / time =
v = d/t
Ave velocity = displacement / time = v = d/
t
Ave acceleration = change in velocity / time
#8
Friction Force
F
F
=
µ
•F
N
If the object is not moving, you are dealing with static
friction and it can have any value from zero up to
µ
s
F
N
If the object is sliding, then you are dealing with kinetic
friction and it will be constant and equal to
µ
K
F
N
#9
Torque
τ
= F•L•sin
θ
Where
θ
is the angle between F and L; unit: Nm
#11
Newton's Second Law
F
net
=
Σ
F
Ext
= m•a
#12
Work = F
•
D
•
cos
θ
Where D is the distance moved and
θ
is the angle between
F
and the
direction of motion,
unit : J
#16
Power = rate of work done
unit : watt
Efficiency = Work
out
/ Energy
in
Mechanical Advantage
= force out
/
force in
M.A. = F
out
/ F
in
#19
ConstantAcceleration Linear Motion
v = v
ο
+ a•t
x
(xx
ο
) = v
ο
•t + ½•a•t²
v
v ² = v
ο
² + 2•a• (x  x
ο
) t
(xx
ο
) = ½•( v
ο
+ v) •t
a
(xx
ο
) = v•t  ½•a•t²
v
ο
#20
Heating a Solid, Liquid or Gas
Q = m•c•
∆
T
(no phase changes!)
Q = the heat added
c = specific heat.
∆
T = temperature change, K
#21
Linear Momentum
momentum =
p
= m•v = mass • velocity
momentum is conserved in collisions
#23
Center of Mass
– point masses on a line
x
cm
=
Σ(
mx) / M
total
#25
Angular Speed vs. Linear Speed
Linear speed = v = r•
ω
= r • angular speed
#26
Pressure under Water
P =
ρ
•g•h
h = depth of water
ρ
= density of water
#28
Universal Gravitation
2
2
1
r
m
m
G
F
=
G = 6.67 E11 N m² / kg²
#29
Mechanical Energy
PE
Grav
=
P = m•g•h
KE
Linear
= K = ½•m•v²
#30
Impulse = Change in Momentum
F•
∆
t =
∆(
m•v)
#31
Snell's Law
n
1
•sin
θ
1
=
n
2
•sin
θ
2
Index of Refraction
n = c / v
c = speed of light = 3 E+8 m/s
#32
Ideal Gas Law
P•V = n•R•T
n = # of moles of gas
R = gas law constant
= 8.31 J / K mole.
#34
Periodic Waves
v =
f
•
λ
f
= 1 / T
T = period of wave
#35
ConstantAcceleration Circular Motion
ω
= ω
ο
+ α
•t
θ
θ−θ
ο
= ω
ο
•t + ½•
α
•t²
ω
ω
2
= ω
ο
2
+ 2•
α
•
(θ−θ
ο
)
t
θ−θ
ο
=
½•
(ω
ο
+ ω
)•t
α
θ−θ
ο
= ω
•t  ½•
α
•t²
ω
ο
time
Work
Power
=
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Dr. Hoselton & Mr. Price
Page 2 of 8
Version 5/12/2005
#36
Buoyant Force  Buoyancy
F
B
=
ρ
•V•g = m
Displaced fluid
•g = weight
Displaced fluid
ρ
= density of the fluid
V = volume of fluid displaced
#37
Ohm's Law
V = I•R
V = voltage applied
I = current
R = resistance
Resistance of a Wire
R =
ρ
•L / A
x
ρ =
resistivity of wire material
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 Spring '10
 RazaSuleman
 Angular Momentum, Kinetic Energy, Special Relativity, Mr. Price, Dr. Hoselton

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