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 × 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 × 10 N m = 1.0 × 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
µ
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°
30°
37°
45°
53°
60°
90°
sin
0
12
35
2 2
45
3 2
1
cos
1
3 2
45
2 2
35
12
0
tan
0
3 3
34
1
4 3
3
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°
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 µ 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
1 2
t
2
2
= 02 + 2 ( − 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
= 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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© 2024 College Board