AP Physics 1: Algebra-Based - Table of Information: Equations

AP? PHYSICS 1 TABLE OF INFORMATION

CONSTANTS AND CONVERSION FACTORS

Proton mass, = mp 1.67 ? 10-27 kg

Electron charge magnitude, =e 1.60 ? 10-19 C

Neutron mass, = mn 1.67 ? 10-27 kg

Coulomb's law constant, =k 1 4p= e0 9.0 ? 109 Nm2 C2

Electron mass, = me 9.11 ? 10-31 kg

Universal

gravitational constant,

= G

6.67 ? 10-11 m3 kgs2

Speed of light, =c 3.00 ? 108 m s

Acceleration due to gravity at Earth's surface,

g = 9.8 m s2

meter, m kelvin, K

UNIT

kilogram, kg hertz, Hz

SYMBOLS second, s newton, N

ampere, A joule, J

watt, coulomb,

volt, ohm,

W degree Celsius, C C V W

PREFIXES

Factor Prefix Symbol

1012

tera

T

10 9

giga

G

106

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

12 35

2 2 45

32

1

cosq

1

32 45 2 2 35 12

0

tanq

0

33 34

1

43

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.

AP Physics 1: Algebra-BasedTable of Information: Equati-o2n-s

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? 2020 College Board

AP? PHYSICS 1 EQUATIONS

MECHANICS

= ?x ?x0 + axt

x

=x0

+

?x0 t

+

1 2

axt2

?x2 =?x20 + 2ax (x - x0 )

=a

?= F

Fnet

mm

Ff

?

m

Fn

ac

=

?2 r

p = mv

Dp

=

F

Dt

K = 1 mv2 2

DE= W= F=d Fd cosq

P

=

DE Dt

q

=q0

+

w0t

+

1 at2 2

=w w0 + at

x = Acos(2p ft) =a ?=t tnet

II

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

DUg = mg Dy

=t r= ^F rF sinq L = Iw

=T

2= wp

1 f

DL = t Dt

K = 1 Iw2 2

Fs

= k x

Us

=

1 kx2 2

r= m V

Ts = 2p

m k

Tp = 2p

g

Fg

=

G

m1m2 r2

g = Fg

m

UG

=

- Gm1m2 r

FE

=

k

q1q2 r2

I

=

Dq Dt

R

=

r A

I

=

DV R

P = I DV

Rs = ? Ri i

? 1 = 1

Rp i Ri

ELECTRICITY

A = area F = force I = current = length P = power q = charge R = resistance r = separation t = time V = electric potential r = resistivity

WAVES

l= v f

f = frequency

v = speed l = wavelength

GEOMETRY AND TRIGONOMETRY

Rectangle A = bh

Triangle

A

=

1 2

bh

Circle

A = pr2 C = 2pr

Rectangular solid V = wh

Cylinder V = pr2

=S 2pr + 2pr2

A = area C = circumference V = volume S = surface area b = base h = height = length w = width r = radius

Right triangle

c=2 a2 + b2

sin q

=

a c

cosq = b c

tanq = a b

Sphere V = 4 pr3 3 S = 4pr2

c

a

q

90

b

AP Physics 1: Algebra-BasedTable of Information: Equation-3s-

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? 2020 College Board

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