ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE …

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015

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 Electron mass, me = 9.11 ? 10-31 kg Speed of light, c = 3.00 ? 108 m s

Coulomb's law constant,

Universal gravitational constant,

Acceleration due to gravity at Earth's surface,

k = 1 4pe0 = 9.0 ? 109 Nim2 C2 G = 6.67 ? 10-11 m3 kgis2

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

109

giga

G

106

mega

M

103

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

tan q

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.

ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015

MECHANICS

?x = ?x0 + axt

x

=

x0

+

?x0 t

+

1 2

axt

2

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

a

=

?F

m

=

Fnet m

Ff ? m Fn

ac

=

?2 r

p = mv

Dp

=

F

Dt

K

=

1 mv2 2

DE = W = Fd = Fd cosq

P

=

DE Dt

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

q

=

q0

+

w0t

+

1 at2 2

w = w0 + at

x = Acos(2p ft)

a

=

? t

I

=

tnet I

m = coefficient of friction q = angle r = density t = torque w = angular speed

DUg = mg Dy

t = r^F = rF sin q L = Iw DL = t Dt

K

=

1 Iw2 2

Fs = k x

Us

=

1 kx2 2

r

=

m V

T

=

2p w

=

1 f

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

ELECTRICITY

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

? 1

Rp

=

i

1 Ri

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

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

Rectangular solid V = wh

Cylinder V = pr2 S = 2pr + 2pr2

Sphere

V

=

4 pr3 3

S = 4pr2

Right triangle

c2 = a2 + b2

sin q

=

a c

cosq

=

b c

tan q

=

a b

c

a

q

90

b

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