ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE …
ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015
CONSTANTS AND CONVERSION FACTORS
Proton mass, mp = 1.67 ? 10-27 kg
Electron charge magnitude, e = 1.60 ? 10-19 C
Neutron mass, mn = 1.67 ? 10-27 kg Electron mass, me = 9.11 ? 10-31 kg Speed of light, c = 3.00 ? 108 m s
Coulomb's law constant,
Universal gravitational constant,
Acceleration due to gravity at Earth's surface,
k = 1 4pe0 = 9.0 ? 109 Nim2 C2 G = 6.67 ? 10-11 m3 kgis2
g = 9.8 m s2
meter, m kelvin, K
UNIT
kilogram, kg hertz, Hz
SYMBOLS second, s newton, N
ampere, A joule, J
watt, coulomb,
volt, ohm,
W degree Celsius, C C V W
PREFIXES
Factor Prefix Symbol
1012
tera
T
109
giga
G
106
mega
M
103
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
30
37
45
53
60
90
sin q
0
12
35
2 2 45
32
1
cosq
1
32 45
2 2 35
12
0
tan q
0
33 34
1
43
3
?
The following 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.
ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015
MECHANICS
?x = ?x0 + axt
x
=
x0
+
?x0 t
+
1 2
axt
2
?x2 = ?x20 + 2ax (x - x0 )
a
=
?F
m
=
Fnet m
Ff ? m Fn
ac
=
?2 r
p = mv
Dp
=
F
Dt
K
=
1 mv2 2
DE = W = Fd = Fd cosq
P
=
DE Dt
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 = mass 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
q
=
q0
+
w0t
+
1 at2 2
w = w0 + at
x = Acos(2p ft)
a
=
? t
I
=
tnet I
m = coefficient of friction q = angle r = density t = torque w = angular speed
DUg = mg Dy
t = r^F = rF sin q L = Iw DL = t Dt
K
=
1 Iw2 2
Fs = k x
Us
=
1 kx2 2
r
=
m V
T
=
2p w
=
1 f
Ts = 2p
m k
Tp = 2p
g
Fg
=
G
m1m2 r2
g
=
Fg m
UG
=
-
Gm1m2 r
FE
=
k
q1q2 r2
I
=
Dq Dt
R
=
r A
I
=
DV R
P = I DV
Rs = ? Ri i
ELECTRICITY
A = area F = force I = current = length P = power q = charge R = resistance r = separation t = time V = electric potential r = resistivity
? 1
Rp
=
i
1 Ri
WAVES
l
=
v f
f = frequency v = speed
l = wavelength
GEOMETRY AND TRIGONOMETRY
Rectangle A = bh
Triangle
A
=
1 2
bh
Circle
A = pr2 C = 2pr
A = area C = circumference V = volume S = surface area b = base h = height = length w = width r = radius
Rectangular solid V = wh
Cylinder V = pr2 S = 2pr + 2pr2
Sphere
V
=
4 pr3 3
S = 4pr2
Right triangle
c2 = a2 + b2
sin q
=
a c
cosq
=
b c
tan q
=
a b
c
a
q
90
b
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