AP Physics 1: Algebra-Based - College Board
2022
AP Physics 1:
Algebra-Based
?
Free-Response Questions
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AP? PHYSICS 1 TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass, mp
1.67 ? 1027 kg
Electron charge magnitude,
e
1.60 ? 10 19 C
Neutron mass, mn
1.67 ? 10 27 kg
Coulomb¡¯s law constant,
k
1 4 pe0
Electron mass, me
9.11 ? 10 31 kg
Speed of light,
3.00 ? 108 m s
UNIT
SYMBOLS
Factor
12
10
c
meter,
kilogram,
second,
ampere,
PREFIXES
Prefix
Symbol
tera
T
m
kg
s
A
Universal gravitational
constant, G
Acceleration due to gravity
at Earth¡¯s surface, g
kelvin,
hertz,
newton,
joule,
K
Hz
N
J
watt,
coulomb,
volt,
ohm,
9.0 ? 10 9 N ? m 2 C2
6.67 ? 10 11 m 3 kg?s2
9.8 m s2
W
C
V
W
degree Celsius,
?C
VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
?
q
0
30
?
?
?
?
37
45
53
60
?
90
?
10 9
giga
G
sinq
0
12
35
2 2
45
3 2
1
10 6
mega
M
cosq
1
3 2
45
2 2
35
12
0
10 3
kilo
k
tanq
0
3 3
34
1
43
3
?
10
2
centi
c
10
3
milli
m
10
6
micro
m
10
9
nano
n
10 12
pico
p
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 EQUATIONS
GEOMETRY AND TRIGONOMETRY
MECHANICS
?x
?x 0 a x t
x
x0 ?x 0 t
?x2
?x20 2 a x x x0
?
?
? F Fnet
m
m
?
m Fn
?
a
?
Ff
ac
?
p
?2
r
?
mv
?
Dp
?
F Dt
K
1 2
mv
2
DE
W
P
DE
Dt
q
q0 w0t
w
w0 at
x
A cos 2 p ft
?
?
? t t net
I
I
?
a
t
rA F
L
Iw
DL
t Dt
K
1 2
Iw
2
?
Fs
Us
r
1 2
at
2 x
1 2
at
2
rF sin q
?
kx
1 2
kx
2
m
V
Fd cos q
F?d
a
A
d
E
f
F
I
K
k
L
?
m
P
p
r
T
t
U
V
v
W
x
y
a
m
q
r
t
w
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
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
coefficient of friction
angle
density
torque
angular speed
DUg
mg Dy
T
2p
w
Ts
2p
m
k
Tp
2p
?
g
?
Fg
G
?
g
UG
1
f
m1m2
r2
?
Fg
m
Gm1m2
r
Rectangle
A bh
Triangle
A
1
bh
2
Circle
A
C
pr 2
2 pr
Rectangular solid
V ?wh
Cylinder
V
pr 2?
S
2 pr ? 2 pr 2
Sphere
V
S
4 3
pr
3
4pr 2
A = area
C = circumference
V = volume
S = surface area
b = base
h = height
? = length
w = width
r = radius
Right triangle
c2
a 2 b2
a
sin q
c
b
cos q
c
a
tan q
b
c
a
90¡ã
q
b
AP? Physics 1 2022 Free-Response Questions
Begin your response to QUESTION 1 on this page.
PHYSICS 1
SECTION II
Time¡ª1 hour and 30 minutes
5 Questions
Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and
are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to
answer and are worth 12 points each. Show your work for each part in the space provided after that part.
1. (7 points, suggested time 13 minutes)
Two blocks are connected by a string that passes over a pulley, as shown above. Block 1 is on a horizontal surface
and is attached to a spring that is at its unstretched length. Frictional forces are negligible in the pulley¡¯s axle and
between the block and the surface. Block 2 is released from rest and moves downward before momentarily
coming to rest.
k 0 is the spring constant of the spring.
M1 is the mass of block 1.
M2 is the mass of block 2.
¦¤y is the distance block 2 moves before momentarily coming to rest.
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AP? Physics 1 2022 Free-Response Questions
Continue your response to QUESTION 1 on this page.
(a)
i. Block 2 starts from rest and speeds up, then it slows down and momentarily comes to rest at a position
below its initial position. In terms of only the forces directly exerted on block 2, explain why block 2
initially speeds up and explain why it slows down to a momentary stop.
ii. Derive an expression for the distance ¦¤y that block 2 travels before momentarily coming to rest.
Express your answer in terms of k 0, M1, M2, and physical constants, as appropriate.
(b) Indicate whether the total mechanical energy of the blocks-spring-Earth system changes as block 2 moves
downward.
___ Changes
___ Does not change
Briefly explain your reasoning.
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