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Physics formula sheet in values trigonometric functions for common angles, prefixes, constant and conversions factors, geometry and trigonometry, calculus and vector product.
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164 |^ Appendix V.1 AP Physics C: Mechanics Course and Exam Description
Universal gas constant, R^ 8.31 J (mol K) I.
Boltzmann's constant, (^) k (^) B = 1.38 ´ 10 ^23 J K I
Speed of light, c = 3.00 ´ 108 m s I Universal gravitational constant, ^ I G = 6.67 ´ 10 ^11 N m.^2 kg^2 Acceleration due to gravity at Earth's surface,
I
1 unified atomic mass unit, (^) 1 u = 1.66 ´ 10 ^27 kg = 931 MeV (^) Ic^2 Planck's constant, (^) h = 6.63 ´ 10 ^34 J s. (^) = 4.14 ´ 10 ^15 eV s. hc = 1.99 ´ 10 ^25 J m.^ = 1.24 ´ 103 eV nm. Vacuum permittivity, e 0 (^) = 8.85 ´ 10 ^12 C^2 I N m.^2
Coulomb's law constant, ^ ^ 9 2 2 k = (^1) I (^) 4 pe 0 = 9.0 ´ 10 N m. (^) I C
Vacuum permeability, m 0 (^) = 4 p ´ 10 ^7 (T m) A.^ I
Magnetic constant, k ¢ = m 0 (^) I 4 p = 1 ´ 10 ^7 (T m) A. I 1 atmosphere pressure, (^) 1 atm = 1.0 ´ 105 N m I^2 = 1.0 ´ 105 Pa
meter,
kelvin,
m mole,^ mol watt,^ w^ farad,^ F kilogram, kg hertz, Hz coulomb, C tesla, T
K joule, (^) J henry, H
Factor Prefix Symbol
10 9 giga^ G
10 6 mega^ M
10 3 kilo^ k
10 ^2 centi^ C 10 ^3 milli^ m
10 ^9 nano^ n 10 ^12 pico^ p
sin q (^) 0 1 2 I 3 5 I r; 2 2 4 5 I r; 3 2 1
cos q (^) 1 r; 3 2 4 5 I r; 2 2 3 5 I 1 2 I 0
tan q (^) 0 r; 3 3 3 4 I 1 4 3 I ✓ 3 ¥
The following assumptions are used in this exam. I. The frame of reference of any problem is inertial unless otherwise stated. II. The direction of current is the direction in which positive charges would drift. III. The electric potential is zero at an infinite distance from an isolated point charge. IV. All batteries and meters are ideal unless otherwise stated. V. Edge effects for the electric field of a parallel plate capacitor are negligible unless otherwise stated.
AP Physics C: Mechanics Course and Exam Description Appendix V.1 |^165
max
f
k
à (^) x Ãx 0 a tx 2 x x 0 (^) Ãx 0 t 2 a tx
Ã^2 (^) x^ Ãx 0 2 2 ax x x 0
a F F^ net m m å
dp F dt
p mv
I- I Ff^ £^ m 1~ FN^ I
2 2 K ^1 mÃ
P dE dt
P F v
D Ug mg D h
2 Ã^ w^2 ac (^) r r
t = r ´ F
t t a
å net I I
I r dm^2 (^) å mr^2
i i cm i
m x x m
å å Ã rw
L = r ´ p = I w
(^12) 2
K Iw
w w 0 (^) at
2 0 0
q q w t at
Fs k D x
2 2
Us k D x
x x cos( wt f
2 1 T p w
s^2
m T p
Tp 2 g
1 2 G^ 2
Gm m F r
1 2 G
Gm m U r
a (^) = acceleration E= energy F= force f =^ frequency h (^) = height I (^) = rotational inertia J (^) = impulse K= kinetic energy k (^) = spring constant £ = length L = angular momentum m= mass P= power p (^) = momentum r (^) = radius or distance T= period t (^) = time U= potential energy v (^) = velocity or speed W= work done on a system x =position =
m coefficient of friction q = angle t = torque w angular speed a (^) angular acceleration f (^) = phase angle
-2-
2
1 2 0
4 pe
q q F r
q
e 0
E dA
Ex dV dx
0
4 pe
i i
q V r
1 2 0
4 pe
q q U qV r
C ke^0 A d
p i i
C (^) å C
C s (^) i i (^) å
dQ I dt
r e
E rJ
I Nev Ad
i
Rs (^) å Ri
R (^) p i Ri
(^) å
FM = qv ´ B
0 4 2
m p
I d r dB r
Bs m 0 nI
e
d E d dt
dI L dt e
A= area B= magnetic field C= capacitance d = distance E= electric field e (^) = emf F= force I (^) = current J = current density L (^) = inductance (^) = length n = number of loops of wire per unit length N= number^ of^ charge carriers per unit volume P= power Q= charge q (^) = point charge
r (^) = radius or distance t (^) = time U= potential or stored energy V = electric potential v = velocity or speed r = resistivity F = flux k = dielectric constant