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Formula sheet for physic C, Cheat Sheet of Physics

Physics formula sheet in values trigonometric functions for common angles, prefixes, constant and conversions factors, geometry and trigonometry, calculus and vector product.

Typology: Cheat Sheet

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ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
AP Physics C: Mechanics Course and Exam Description
164 
|
Appendix V.1
00762-139-CED-Physics C-Mechanics_Appendixes.indd 164 3/13/19 12:15 PM
Proton mass,
m=
p1.67 ´1027 kg
Neutron mass,
27
1.67 10 kg
n
m
= ´
Electron mass ,
31
9.11 10 kg
e
m
= ´
Avogadro's number,
23 1
06.02 10 molN
= ´
Universal gas constant, I .
8.31 J (mol K)R
Boltzmann's constant,
23
1.38 10 J K
B
k
= ´
I
Electron charge magnitude,
19
1.60 10 Ce
= ´
1 electron volt,
19
1 eV 1.60 10 J
= ´
Speed
of
light,
8
3.00 10 m sc= ´
I
Universal gravitational
constant,
I
11 2 2
6.67 10 N m kgG
= ´
.
Acceleration due to gravity
at Earth's surface,
2
9.8 m sg
I
1 unified atomic mass unit,
27 2
1 u 1.66 10 kg 931 MeV c
=´=
I
Planck's constant,
34 15
6.63 10 J s 4.14 10 eV sh

=´=´
. .
25 3
1.99 10 J m 1.24 10 eV nmhc
=´=´
. .
Vacuum permittivity,
12 2 2
0
8.85 10 C N me
= ´
.
I
Coulomb's law constant,
9 22
0
1 4 9.0 10 N m Ckpe= = ´
I I
.
Vacuum permeability,
7
04 10 (T m) Amp
= ´
. I
Magnetic constant,
7
04 1 10 (T m) Akmp
= = ´
¢
I I
.
1 atmosphere pressure,
52 5
1 atm 1.0 10 N m 1.0 10 Pa=´=´
I
UNIT
SYMBOLS
meter,
kelvin,
m mole, mol watt, w farad, F
kilogram, kg hertz, Hz coulomb, C tesla, T
second, s newton, N volt, V degree Celsius,
°C
ampere, A pascal, Pa ohm,
W
electron volt, eV
K joule, J henry, H
PREFIXES
Factor Prefix Symbol
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
1012
pico p
VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q
0
30
45
53
60
90
sinq
0
12
I
35
I
22
r;
45
I
32
r;
1
cosq
1
32
r;
45
I
22
r;
35
I
12
I 0
tan q
0
33
r;
34
I 1
43
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.
pf3

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ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION

CONSTANTS AND CONVERSION FACTORS

164 |^ Appendix V.1 AP Physics C: Mechanics Course and Exam Description

Proton mass, m p =1.67 ´ 10 ^27 kg

Neutron mass, mn = 1.67 ´ 10 ^27 kg

Electron mass, me = 9.11 ´ 10 ^31 kg

Avogadro's number, N 0 = 6.02 ´ 1023 mol^1

Universal gas constant, R^ 8.31 J (mol K) I.

Boltzmann's constant, (^) k (^) B = 1.38 ´ 10 ^23 J K I

Electron charge magnitude, e = 1.60 ´ 10 ^19 C

1 electron volt, 1 eV = 1.60 ´ 10 ^19 J

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,

g  9.8 m s^2

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

UNIT

SYMBOLS

meter,

kelvin,

m mole,^ mol watt,^ w^ farad,^ F kilogram, kg hertz, Hz coulomb, C tesla, T

second, s newton, N volt, V degree Celsius, °C

ampere, A pascal, Pa ohm, W electron volt, eV

K joule, (^) J henry, H

PREFIXES

Factor Prefix Symbol

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 ^30 ^37 ^45 ^53 ^60 ^90 

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

ADVANCED PLACEMENT PHYSICS C EQUATIONS

MECHANICS

à (^) xÃx 0  a tx 2 xx 0 (^)  Ãx 0 t  2 a tx

Ã^2 (^) x^  Ãx 0 2  2 axxx 0 

a F F^ net m m  å 

dp F dt

J  ò F dt  D p

pmv

I- I Ff^ £^ m 1~ FN^ I

D E  W  ò F d r

2 2 K ^1

PdE dt

PF v

D Ugmg D h

2  Ã^  w^2 ac (^) r r

t = r ´ F

t t a

å   net I I

Ir dm^2  (^) å mr^2

ò

i i cm i

m x x m

 å å Ãrw

L = r ´ p = I w

(^12) 2

KIw

ww 0 (^)  at

2 0 0

qqw tat

Fs   k D x

  2 2

Usk D x

xx cos( wtf

2 1 T p w

F

s^2

m Tp

Tp 2 g

 pf

1 2 G^  2

Gm m F r

I- I

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-

ELECTRICITY AND MAGNETISM

2

1 2 0

4 pe

E^ 

q q F r

 E

F

E

q

e 0

ò 

Q

E dA

Ex   dV dx

D V  ò E dr

0

4 pe

 å i

i i

q V r

1 2 0

4 pe

E^ ^ 

q q U qV r

D 

Q

V

C

Cke^0 A d

p i i

C  (^) å C

C s (^) i i  (^) å

C

dQ I dt

 

C 2 2

U  Q V D  C D V

R

A

re

ErJ

INev Ad

I  D V

R

i

Rs  (^) å Ri

R (^) p i Ri

 (^) å

P  I D V

FM = qv ´ B

0 ò B d £ m 0 I

0 4 2

m p

I d r dB r

F = ò I d £´ B

Bsm 0 nI

F B  ò B dA

e

F

 ò   B

d E d dt

0.^ £

dI L dt e  

L 2

U  LI

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= resistance

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