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AP Physics 1 Equations and Usage Cheat Sheet, Cheat Sheet of Physics

List of AP physics 1 formulas with descriptive usage

Typology: Cheat Sheet

2020/2021

Uploaded on 04/23/2021

torley
torley 🇺🇸

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1!
ADVANCED'PLACEMENT'PHYSICS'1'TABLE'OF'INFORMATION'&'EQUATIONS'
'
CONSTANTS!AND!CONVERSION!FACTORS!
Proton!mass,!mp#=!1.67!x!10-27!kg!
Neutron!mass,!mn#=!1.67!x!10-27!
kg!
Electron!mass,!me#=!9.11!x!10-31!
kg!
Speed!of!light,!!c#=!3.00!x!108!m/s!
Electron!charge!magnitude,!!!e#=!1.60!x!10-19!C!
Coulomb’s!law!constant,!!!k#=!1/4π𝜀0!=!9.0!x!109!
N•m2/C2!
Universal!gravitational!constant,!!!G#=!6.67!x!10-11!!
m3/kg•s2!
Acceleration!due!to!gravity!at!Earth’s!surface,!!!g#=!9.8!!
m/s2!
!
!
UNIT!
SYMBOLS!
meter,!!!!m!!
kelvin,!!!K!
degree!Celsius,!!!˚C!
kilogram,!!!!kg!
hertz,!!!!Hz!
!
second,!!!s!
newton,!!!N!
!
ampere,!!!!A!
joule,!!!J!
!
!
PREFIXES!
Factor!
Prefix!
Symbol!
1012!
tera!
T!
109!
giga!
G!
106!
mega!
M!
103!
kilo!
k!
10-2!
centi!
c!
10-3!
milli!
m!
10-6!
micro!
𝜇!
10-9!
nano!
n!
10-12!
pico!
! p!
!
!
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.!!
!
!
!
!
!
!
VALUES'OF'TRIGONOMETRIC'FUNCTIONS'FOR'COMMON'ANGLES'
𝜃!
!
30˚!
37˚!
45˚!
53˚!
60˚!
90˚!
sin𝜃!
0!
1/2!
3/5!
2/2!
4/5!
3/2!
1!
cos𝜃!
1!
3/2!
4/5!
2/2!
3/5!
1/2!
0!
tan𝜃!
0!
3/3!
¾!
1!
4/3!
3!
!
pf3
pf4
pf5

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ADVANCED PLACEMENT PHYSICS 1 TABLE OF INFORMATION & EQUATIONS

CONSTANTS AND CONVERSION FACTORS

Proton mass, mp = 1.67 x 10

  • 27 kg

Neutron mass, mn = 1.67 x 10

  • 27

kg

Electron mass, me = 9.11 x 10

  • 31

kg

Speed of light, c = 3.00 x 10 8 m/s

Electron charge magnitude, e = 1.60 x 10

  • 19 C

Coulomb’s law constant, k = 1/4π𝜀 0 = 9.0 x 10 9

N•m 2 /C 2

Universal gravitational constant, G = 6.67 x 10

  • 11

m 3 /kg•s 2

Acceleration due to gravity at Earth’s surface, g = 9.

m/s

2

UNIT

SYMBOLS

meter, m kelvin, K watt, W degree Celsius, ˚C

kilogram, kg hertz, Hz coulomb, C

second, s newton, N volt, V

ampere, A joule, J ohm, Ω

PREFIXES

Factor Prefix Symbol

12 tera T

9 giga G

6 mega M

3 kilo k

  • 2 centi c
  • 3 milli m
  • 6 micro 𝜇
  • 9 nano n
  • 12 pico p

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.

VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES

sin𝜃 0 1/2 3/5 (^2) / 2 4/5 (^3) / 2 1

cos𝜃 (^1 3) / 2 4/5 (^2) / 2 3/5 1/2 0

tan𝜃 (^0 3) / 3 ¾ 1 4/3 3 ∞

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015

MECHANICS

Equation Usage

a = acceleration

A =amplitude

d = distance

E = energy

f = frequency

F = force

I = rotational inertia

K =kinetic energy

k = spring constant

L = angular momentum

ℓ = 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

𝛼 = angular acceleration

𝜇 = coefficient of friction

𝜃 = angle

𝜌 = density

𝜏 = torque

𝜔 = angular speed

Calculate average velocity

!"#

!"#

Calculate average acceleration

Calculate acceleration

!

!!

!

!

! = 𝑣!!

!

  • 2 𝑎!(𝑥 − 𝑥!)

Kinematic equations for describing linear

motion with constant acceleration in one

and two dimensions.

!

!

! = 𝜔!

!

  • 2 𝛼!(𝜃 − 𝜃!)

Kinematic equations for describing

angular motion with constant angular

acceleration.

Calculate gravitational force on an object

with mass m in a gravitational field of

strength g in the context of the effects of

a net force on objects and systems.

!

!

!

Make claims about various contact forces

between objects based on the

microscopic cause of these forces.

Explain contact forces (tension, friction,

normal, spring) as arising from

interatomic electric forces and that they

therefore have certain directions.

If an object of interest interacts with

several other objects, the net force is the

vector sum of the individual forces.

!

!

Use Newton’s law of gravitation to

calculate the gravitational force that two

objects exert on each other and use that

force in contexts other than orbital

motion.

Calculate gravitational force between

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS

ELECTRICITY

Equation Usage

A = area

F = force

I = current

ℓ = length

P = power

q = charge

R = resistance

r = separation

t = time

V = electric potential

𝜌 = resistivity

!

Calculate the magnitude of an

electric field (Coulumb’s Law)

Calculate conservation of

electric charge

Calculate resistivity of matter

ΔV

!

!

Describes the conservation of

electric charge in electrical

circuits (Kirchhoff’s junction

rule)

𝑃 = 𝐼Δ𝑉 Describe conservation of

energy in electrical circuits

(Kirchoff’s loop rule)

WAVES

Equation Usage f = frequency

v = speed

𝜆 = wavelength 𝜆 =

Calculate the wavelength of a

periodic wave

GEOMETRY AND TRIGONOMETRY

Equation Usage

A = area

C = circumference

V = volume

S = surface area

b = base

h = height

ℓ = length

𝑤 = width

r = radius

A = bh Area of a rectangle

A =

!

!

Area of a triangle

!

Area of a circle

Circumference of a circle

𝑉 = ℓ𝑤ℎ Volume of a rectangular solid

! ℓ

!

Volume of a cylinder

Surface area of a cylinder

!

!

Volume of a sphere

Surface area of a sphere

Pythagorean theorem

Calculate the value of the

angles of a right triangle

! = 𝑎

!

  • 𝑏

!

sinθ =

cosθ =

tanθ =