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Physics 50
"Study Guide" for Midterm #1 ("Laundry List" of important concepts)
by Todd Sauke
Concept
(important
concepts
in
bold; vectors
also shown in
bold
)
Symbol or Equation
We use the international
SI system of units
which employs the meter (m) kilo (k)=10
3
mega (M)=10
6
for length, the kilogram (kg) for mass, and the second (s) for time
milli (m)=10
3
micro (
μ
)=10
6
Trigonometry
:
We use
sine
,
cosine
, and
tangent
functions to relate
sin(
θ)
=
h
o
/h
θ
= sin
1
(h
o
/h)
angles to the ratios of various lengths of the sides of right triangles
cos(
θ
) = h
a
/h
θ
= cos
1
(h
a
/h)
Angles can be measured in radians (2
π
rads per circle) or in degrees
tan(
θ
) = h
o
/h
a
θ
= tan
1
(h
o
/h
a
)
(360
˚
/ circle).
Set your calculator correctly.
h
2
= h
o
2
+ h
a
2
(Pythagoras)
Physics quantities are either scalars or
vectors
(magnitude & direction)

v
 = a positive scalar, "v"
Unit vectors
give only directional information, eg.
î
for xaxis,
ĵ
for y
(scalar) * (
unit vecto
r) =
vector
When
adding vectors
, think of the vectors' components separately
components
of
vectors
add
Scalar product ("dot product") of two vectors gives a scalar result
A
•
B
= A B cos (
φ
)
Vector product ("cross product") of two vectors gives a vector result
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 '10
 Sauke,ToddB
 Physics

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