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Equations about mechanics, electricity, waves, geometry and trigonometry.
Typology: Summaries
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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
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,
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
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.
à x (^) = à x 0 +a tx
2 0 0
x 2 x = x + Ã t + ax t
a F F^ net m
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
t
2 0 0
q = q + w t+ a t
w = w 0 (^) + a t
net I I
t t
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
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
s i
R (^) p (^) i Ri
A = area F = force I = current = length P = power q = charge R = resistance r = separation t = time V = electric potential r = resistivity
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