AP Physics 1 Equations

Table for AP Physics 1 Exam with Equations and Constants

1. ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015
CONSTANTS AND CONVERSION FACTORS
Proton mass,
27
1.67 10 kg
p
m
-
=¥
Neutron mass,
27
1.67 10 kg
n
m
-
=¥
Electron mass,
31
9.11 10 kg
e
m
-
=¥
Speed of light,
8
3.00 10 m sc=¥
Electron charge magnitude,
19
1.60 10 Ce
-
=¥
Coulomb’s law constant,
92
0
14 9.0 10 Nm Ck pe==¥ i
Universal gravitational
constant,
11 3 2
6.67 10 m kg sG
-
=¥ i
Acceleration due to gravity
at Earth’s surface,
2
9.8 m sg=
UNIT
SYMBOLS
meter,m
kilogram,kg
second,s
ampere,A
kelvin, K
hertz,Hz
newton,N
joule,J
watt, W C∞
coulomb, C
volt, V
ohm, W

2







degree Celsius,
PREFIXES
Factor Prefix Symbol
10
12
tera T
10
9
giga G
10
6
mega M
10
3
kilo k
10
-2
centi c
10
-3
milli m
10
-6
micro m
10
-9
nano n
10
-12
pico p
VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q 0
d
30
d
37
d
45
d
53
d
60
d
90
d
sinq 0 12 35 22 45 32 1
cosq 1 32 45 22 35 12 0
tanq 0 33 34 1 43 3 •






The followin
g conventions are used in this exam.
I. The frame of reference of any problem is assumed to be inertial unless
otherwise stated.
II. Assume air resistance is negligible unless otherwise stated.
III. In all situations, positive work is defined as work done on a system.


IV. The direction of current is conventional current: the direction in which
positive charge would drift.
V. Assume all batteries and meters are ideal unless otherwise stated.

2. ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015
MECHANICS
ELECTRICITY
0xx x
atÃÃ=+
2
001
2
x
xx t aÃ=+ +
x
t
(
22
0
2
xx x
ax xÃÃ=+ -
)
0
net
FF
a
m
==Â
m

f
F m£
n
F

2
c
a
Ã
=
r
pmv=

pFtDD=

21
2
Kmv=
cosEWFdFd qD== =

E
P
tD
D
=
2
001 2
tqq w a=+ +
t
0
tww a=+
( )cos 2xA ft p=
net
I I
tt
a==
Â 
sinrF rFt
^
== q
L Iw=
L ttD= D
21 2
KI w=
s
Fkx=
 
2
2
s
Ukx=
1
m
V
r=
a = acceleration
A = amplitude
d = distance
E = energy
f = frequency
F = force
I = rotational inertia
K = kinetic energy
k = spring constant
L = angular momentum
= length
m = m ass
P
= power
p = momentum
r = radius or separation
T = period

t = time
U = potential
energy
V = volume
v = speed
W = work done on a system
x = position
y = height
a = angular acceleration
m = coefficient of friction
q = angle
r = density
t = torque
w = angular speed
g
UmgyD=D
2
T
f
p
w
==
1
2
s
m
T
k
p=
2
p
T
g
p=

12
2
g
mm
FG
r
=
g
F
g
m
=

12
G
Gm m
U
r
=-
12
2E
qq
Fk
r
=

q
I
t
D
D
=
R
A
r
=

V
I
R
D
=
PIVD=
s
i
R R=Âi
11
p ii
R R
=Â
A = area
F = force
I = current

= length
P = power
q = charge
R = resistance
r = separation
t = time
V = electric potential
r = resistivity
WAVES
v
f
l=
f = frequency
v = speed
l = wavelength
GEOMETRY AND TRIGONOMETRY
Rectangle
Abh=
Triangle
1
2
A bh=
Circle
2
Ap=

2C p=
r
r
Rectangular solid
Vwh= 
Cylinder
Vr
p=
2
22Sr rp p=+
2
Sphere
3
3
Vrp=
4

2
4Srp=
A = area
C = circumference
V = volume
S = surface area
b = base
h = height

= length
w = width
r = radius
Right triangle

222
cab=+
sin
a
c
q=
cos
b
c
q=
tan
a
b
q=
c
a
b
90q