ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015 - College Board

ADVANCED PLACEMENT PHYSICS 1 TABLE OF INFORMATION

CONSTANTS AND CONVERSION FACTORS

Acceleration due to gravity at Earth¡¯s surface,

Universal gravitational constant,

g = 9.8 m s 2

G = 6.67 ¡Á 10?11 m 3 (kg s 2 ) 6.67 10?11 N m 2 kg 2

Magnitude of the gravitational field strength at the

Earth¡¯s surface, g = 9.8 N kg

1 atmosphere of pressure,

5

2

5

1 atm = 1.0 ¡Á 10 N m = 1.0 ¡Á 10 Pa

10?2

PREFIXES

Prefix

tera

giga

mega

kilo

centi

Symbol

T

G

M

k

c

10?3

milli

m

10?6

micro

10?9

nano

?

n

?12

pico

p

Factor

1012

109

106

103

10

hertz,

joule,

kilogram,

meter,

UNIT

SYMBOLS

Hz

J

kg

m

newton,

pascal,

second,

watt,

N

Pa

s

W

VALUES OF TRIGONOMETRIC FUNCTIONS FOR

COMMON ANGLES

0¡ã

30¡ã

37¡ã

45¡ã

53¡ã

60¡ã

sin

0

12

35

2 2

45

cos

1

3 2

45

2 2

35

12

tan

0

3 3

34

1

4 3

3

90¡ã

1

3 2

0

The following conventions are used in this exam:

? The frame of reference of any problem is assumed to be inertial unless otherwise stated.

? Air resistance is assumed to be negligible unless otherwise stated.

? Springs and strings are assumed to be ideal unless otherwise stated.

? Fluids are assumed to be ideal, and pipes are assumed to be completely filled by fluid, unless otherwise

stated.

GEOMETRY AND TRIGONOMETRY

Rectangle

A = bh

Rectangular Solid

V = ?wh

Triangle

1

A = bh

2

Cylinder

V = r 2?

Circle

A = r2

Sphere

4 3

V=

r

3

S = 4 r2

C=2 r

s=r

A = area

b = base

C = circumference

h = height

? = length

r = radius

s = arc length

S = surface area

V = volume

w = width

q = angle

S = 2 r? + 2

s

r

2

AP Physics 1: Algebra-Based Course and Exam Description

Right Triangle

a 2 + b2 = c 2

a

sin =

c

b

cos =

c

a

tan =

b

c

a

90¡ã

b

1

Appendix V.1 | 218

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MECHANICS AND FLUIDS

v x = v x 0 + ax t

1

x = x0 + vx 0t + ax t 2

2

2

2

vx = v x 0 + 2 ax x ? x0

?

mi xi

?

xcm =

mi

?

?

F Fnet

?

=

asys =

msys msys

(

)

?

mm

Fg = G 1 2 2

r

?

?

F f ? Fn

?

?

Fs = ? k x

2

v

r

1

K = mv 2

2

W = F d = Fd cos

ac =

K

Wi =

a = acceleration

d = distance

E = energy

F = force

J = impulse

k = spring constant

K = kinetic energy

m = mass

p = momentum

P = power

r = radius, distance, or

position

t = time

U = potential energy

v = velocity or speed

W = work

x = position

y = height

q = angle

m = coefficient of friction

F ,i d i

1

k ( x )2

2

Gm1m2

UG = ?

r

U g mg y

=

W

E

=

t

t

= F v = Fv cos

p = mv

v

p

= ma

=m

t

t

Favg t

p

Fnet =

J

vcm =

pi

=

mi

mi vi

mi

a = acceleration

A = amplitude or area

d = distance

f = frequency

F = force

h = height

I = rotational inertia

k = spring constant

K = kinetic energy

? = length

L = angular momentum

m = mass

M = mass

P = pressure

r = radius, distance, or

position

t = time

T = period

v = velocity or speed

V = volume

W = work

x = position

y = vertical position

a = angular acceleration

q = angle

r = density

t = torque

w = angular speed

0

+

0

t+

v=r

aT = r

= r F = rF sin

mi ri2

I=

I = I cm + Md 2

sys

K=

=

=

I sys

1

I

2

net

I sys

2

W

L= I

L = rmv sin

L

t

xcm r

1

f

Ts = 2

m

k

Tp = 2

?

g

Pavg =

P

+ t

1 2

t

2

2

= 02 + 2 ( ? 0 )

=

T=

Us

0

x = A cos(2 ft )

x = A sin(2 ft )

m

=

V

F

P=

A

P = P0 + gh

Pgauge = gh

Fb = Vg

A1v1 = A2 v2

P1 + gy1 +

AP Physics 1: Algebra-Based Course and Exam Description

2

1 2

v =

2 1

2

+

y2 +

1 2

v

2 2

Appendix V.1 | 219

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