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ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015
CONSTANTS AND CONVERSION FACTORS
Proton mass, mp = 1.67 ¥ 10 -^27 kg
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
Electron charge magnitude, e = 1.60 ¥ 10 -^19 C Coulomb’s law constant, (^) k = 1 4 pe 0 = 9.0 ¥ 10 9 N mi 2 C Universal gravitational constant, G = 6.67 ¥ 10 -^11 m^3 kg si^2 Acceleration due to gravity at Earth’s surface, g =9.8 m s^2
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
1012 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
sin q (^) 0 1 2 3 5^ 2 2 4 5 3 2 (^1)
cos q 1 3 2 4 5^ 2 2 3 5^ 1 2^0
tan q 0 3 3 3 4^1 4 3^3 •
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 ELECTRICITY
à x (^) = à x 0 +a tx
2 0 0
x 2 x = x + Ã t + ax t
Ã^2 x = Ã^2 x 0 + 2 ax (x - x 0 )
a F F^ net m
= Â =
m
^
F (^) f £ m Fn
2 a c = Ã r
p =mv
D p =F Dt
K = mv
D E = W = F d =Fd cos q
P E
t
D
D
2 0 0
q = q + w t+ a t
w = w 0 (^) + a t
x =A cos 2 ( p ft)
net I I
t t
a = Â =
t = r F^ = rF sin q
L =I w
D L = t Dt
(^12) 2
K = I w
F s =k x
2 s 2 U = 1 kx
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 = 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 m = coefficient of friction q = angle r = density t = torque w = angular speed
DU (^) g = mg Dy
T 2
f
p w
Ts 2 m k
= p
Tp 2 g
= p
1 2 g 2
m m F G r
g F^ g m
1 2 G
Gm m U r
1 2 E 2
q q F k r
q I t
D
D
R
A
r
I V
R
=^ D
P =I DV
s i
R = Â Ri
R (^) p (^) i Ri
= 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 A =bh
Triangle 1 2
A = bh
Circle A = p^2 C = 2 p
r r
Rectangular solid V = wh
Cylinder V = p r^2 S = 2 p r + 2 p r^2
Sphere 3 3
V = 4 p r
S = 4 p r^2
A = area C = circumference V = volume S = surface area b = base h = height = length w = width r = radius
Right triangle c^2 = a^2 +b^2
sin a c
q =
cos b c
q =
tan a b
q =
c (^) a
b
q^90
