ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015 - College Board

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015

CONSTANTS AND CONVERSION FACTORS

Proton mass, m p = 1.67 ? 10 -27 kg

Electron charge magnitude,

Neutron mass, mn = 1.67 ? 10 -27 kg

Coulomb¡¯s law constant,

UNIT

SYMBOLS

Factor

1012

c = 3.00 ? 108 m s

meter,

kilogram,

second,

ampere,

PREFIXES

Prefix

Symbol

tera

T

m

kg

s

A

k = 1 4 pe0 = 9.0 ? 10 9 N i m 2 C2

Universal gravitational

-11

m 3 kgis2

constant, G = 6.67 ? 10

Acceleration due to gravity

2

at Earth¡¯s surface, g = 9.8 m s

Electron mass, me = 9.11 ? 10 -31 kg

Speed of light,

e = 1.60 ? 10 -19 C

kelvin,

hertz,

newton,

joule,

K

Hz

N

J

W

C

V

W

watt,

coulomb,

volt,

ohm,

¡ÞC

degree Celsius,

VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES

q

0

30

37

45

53

60

sinq

0

12

35

2 2

45

3 2

1

90

10 9

giga

G

10 6

mega

M

cos q

1

3 2

45

2 2

35

12

0

10 3

kilo

k

tanq

0

33

34

1

43

3

?

10 -2

centi

c

10 -3

milli

m

10 -6

micro

m

-9

nano

n

10 -12

pico

p

10

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.

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015

MECHANICS

?x = ?x 0 + a x t

x = x 0 + ?x 0 t +

1 2

a t

2 x

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

?

?

Fnet

? ?F

a=

=

m

m

?

?

Ff ? m Fn

?2

r

?

?

p = mv

?

?

Dp = F Dt

ac =

K =

1 2

mv

2

DE = W = F?d = Fd cos q

P=

DE

Dt

q = q0 + w0 t +

1 2

at

2

w = w0 + at

x = A cos (2 p ft )

?

?

t

? ?t

a =

= net

I

I

t = r^ F = rF sin q

L = Iw

DL = t Dt

1 2

Iw

2

?

?

Fs = k x

K =

Us =

1 2

kx

2

m

r=

V

ELECTRICITY

a

A

d

E

f

F

I

K

k

L

?

m

P

p

r

T

t

U

V

v

W

x

y

a

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

=

acceleration

amplitude

distance

energy

frequency

force

rotational inertia

kinetic energy

spring constant

angular momentum

length

mass

power

momentum

radius or separation

period

time

potential energy

volume

speed

work done on a system

position

height

angular acceleration

m

q

r

t

w

=

=

=

=

=

coefficient of friction

angle

density

torque

angular speed

DUg = mg Dy

T =

2p

1

=

w

f

m

Ts = 2 p

k

?

Tp = 2 p

g

?

mm

Fg = G 1 2 2

r

?

? Fg

g=

m

UG = -

Gm1m2

r

?

qq

FE = k 1 2 2

r

I =

Dq

Dt

R=

r?

A

I =

DV

R

A

F

I

?

P

q

R

r

t

V

r

P = I DV

Rs =

? Ri

1

=

Rp

=

=

=

=

=

=

=

=

=

=

=

area

force

current

length

power

charge

resistance

separation

time

electric potential

resistivity

i

? Ri

1

i

WAVES

l=

f = frequency

v = speed

l = wavelength

v

f

GEOMETRY AND TRIGONOMETRY

Rectangle

A = bh

Triangle

1

A = bh

2

Circle

A = pr 2

C = 2 pr

Rectangular solid

V = ?wh

Cylinder

V = pr 2?

S = 2 pr ? + 2 pr 2

Sphere

V =

A=

C=

V=

S =

b =

h =

?=

w=

r =

area

circumference

volume

surface area

base

height

length

width

radius

Right triangle

c2 = a2 + b2

a

sin q =

c

b

cos q =

c

a

tan q =

b

4 3

pr

3

S = 4pr

2

c

a

90?

q

b

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