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Advanced Placement Physics C: Constants, Conversion Factors, and Equations, Cheat Sheet of Mathematical Statistics

Neumont UniversityMathematical Statistics

A table of important constants and conversion factors for advanced placement (ap) physics c. It also includes a list of assumptions used in the exam and a list of equations for mechanics and electricity and magnetism. This resource is useful for students preparing for the ap physics c exam.

Typology: Cheat Sheet

2021/2022

Uploaded on 02/07/2022

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ekavaria 🇺🇸

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bg1
C
ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass, 27
1.67 10 kg
p
m
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, 8.31 J (mol K)R <
Boltzmann’s constant, 23
1.38 10 J K
B
k
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
Universal gravitational
constant,
11 2 2
6.67 10 N m kgG
<
Acceleration due to gravity
at Earth’s surface,
2
9.8 m sg
1 unified atomic mass unit, 27 2
1 u 1.66 10 kg 931 MeV c
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 nm
hc <<
Vacuum permittivity,
12 2 2
08.85 10 C N me
<
Coulomb’s law constant,

922
0
1 4 9.0 10 N m Ckpe <
Vacuum permeability, 7
0410 (Tm)Amp
<
Magnetic constant,
7
04110 (Tm)Akmp
<
1 atmosphere pressure, 52 5
1 atm 1.0 10 N m 1.0 10 Pa
UNIT
SYMBOLS
meter, m
kilogram, kg
second, s
ampere, A
kelvin, K
mole, mol
hertz, Hz
newton, N
pascal, Pa
joule, J
watt, W
coulomb, C
volt, V
ohm,
henry, H
farad, F
tesla, T
degree Celsius,
Welectron volt, eV
PREFIXES
Factor Prefix Symbol
9
10 giga G
6
10 mega M
3
10 kilo k
2
10centi c
3
10 milli m
6
10micro m
9
10nano n
12
10pico p
VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q0D30D37D45D53D60D90D
sin q0 12 35 22 45
32 1
cosq1 32 45 22 35 12 0
tanq033 34 143 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

Partial preview of the text

Download Advanced Placement Physics C: Constants, Conversion Factors, and Equations and more Cheat Sheet Mathematical Statistics in PDF only on Docsity!

’C

ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION

CONSTANTS AND CONVERSION FACTORS

Proton mass,

27 m (^) p 1.67 10 kg

 –

Neutron mass,

27 m (^) n 1.67 10 kg

 –

Electron mass,

31 me 9.11 10 kg

 –

Avogadro’s number,

23 1 N (^) 0 6.02 10 mol

 –

Universal gas constant, R^ 8.31 J (mol K)<

Boltzmann’s constant,

23 k (^) B 1.38 10 J K

 –

Electron charge magnitude,

19 e 1.60 10 C

 –

1 electron volt,

19 1 eV 1.60 10 J

 –

Speed of light,

8 c 3.00 – 10 m s

Universal gravitational

constant,

11 2 2 G 6.67 10 N m kg

 – <

Acceleration due to gravity

at Earth’s surface,

2 g 9.8 m s

1 unified atomic mass unit,

27 2 1 u 1.66 10 kg 931 MeV c

 –

Planck’s constant, (^) h 6.63 – 10 ^34 J s< 4.14 – 10 ^15 eV s<

25 3 –

 hc 1.99 – 10 J m< 1.24 – 10 eV nm<

Vacuum permittivity,

12 2 2 e 0 (^) 8.85 10 C N m

 – <

Coulomb’s law constant,

9 2 2 k 1 4 pe 0 9.0 – 10 N m< C

Vacuum permeability,

7 m 0 (^) 4 p 10 (T m) A

 – <

Magnetic constant,

7 k m 0 (^) 4 p 1 10 (T m) A

 „ – <

1 atmosphere pressure,

5 2 5 1 atm 1.0 – 10 N m 1.0 – 10 Pa

UNIT

SYMBOLS

meter, m

kilogram, kg

second, s

ampere, A

kelvin, K

mole, mol

hertz, Hz

newton, N

pascal, Pa

joule, J

watt, W

coulomb, C

volt, V

ohm,

henry, H

farad, F

tesla, T

degree Celsius,

W electron volt,^ eV

PREFIXES

Factor Prefix Symbol

9 10 giga^ G

6 10 mega^ M

3 10 kilo^ k

2 10

 (^) centi c

 3 10 milli^ m

6 10

 (^) micro m

9 10

 (^) nano n

12 10

 (^) 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 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.

ADVANCED PLACEMENT PHYSICS C EQUATIONS

MECHANICS ELECTRICITY AND MAGNETISM

à (^) x à (^) x 0  a tx

2 0 0

x x  Ãx t  a tx

2 2 à (^) x à (^) x 0  2 ax x  x 0

F F net a m m

Ç

 (^) dp F dt

D

Ô

J F dt p

p mv

m

F f FN

D

Ô

E W Fd r

K mÃ

dE P dt

P Fv

D Ug mg D h

2 Ã (^) 2 ac w r

r

t –

r F

t t a

Ç

 (^) net

I I

2 I r dm Ç mr

Ô

2

i i cm i

m x x m

Ç

Ç

à rw

– w

L r p I

K I w

w w 0 (^)  at

2 0 0

q q  w t  at

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

 D

F s k x

Us k D x

x x max (^) cos( wt  f

T

f

p

w

s^2

m T k

p

Tp 2 g

p

1 2 2

G

Gm m F r

1 2 G

Gm m U r

2

1 2

0

4 pe

E

q q F r

FE

E

q

e 0

Ô

Q

E dA

x^ 

dV E dx

D 

Ô

V E dr

0

4 pe

Ç

i

i i

q V r

1 2

0

4 pe

E

q q U qV r

D

Q

V

C

k e 0 A C d

p i i

C Ç C

C s (^) i Ci

Ç

dQ I dt

UC Q D V C D V

R

A

r

r

E J

I Nev A d

D V

I

R

i

Rs Ç Ri

p^ i^ i

R R

Ç

P I D V

A = area

B = magnetic field

C = capacitance

d = distance

E = electric field

ε = 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

F M qv B

Ô m^0

B d I

0

4 2

m

p

I dr dB r

Ô

F I dB

Bs m 0 nI

F

Ô

B B dA

e

F

Ô

d B E d dt

dI L dt

e 

U L LI