AP Physics 1: Algebra-Based - College Board
2022
AP? Physics 1: Algebra-Based
Free-Response Questions
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Protonmass, mp Neutronmass, mn Electronmass, me
Speedoflight, c
AP? PHYSICS 1 TABLE OF INFORMATION
CONSTANTSANDCONVERSIONFACTORS
1.67 1027 kg
Electronchargemagnitude, e 1.60 1019 C
1.67 1027 kg 9.11 1031 kg 3.00 108 m s
Coulomb'slawconstant, k Universalgravciotantsitoannatl, G
AccelerataiotnEadruthe'tsosgurrafavcitey, g
1 4pe0 9.0 109 Nm2 C2 6.67 1011 m3 kgs2 9.8 m s2
meter, m UNIT kilogram, kg SYMBOLS second, s
ampere, A
kelvin, K hertz, Hz newton, N joule, J
watt, coulomb,
volt, ohm,
W degreeCelsius, C C V
W
PREFIXES Factor Prefix Symbol
1012
tera
T
109
giga
G
106
mega
M
103
kilo
k
102
centi
c
103
milli
m
106 micro
m
109
nano
n
1012
pico
p
VALUESOFTRIGONOMETRICFUNCTIONSFORCOMMONANGLES
q
0
30
37
45
53
60
90
sin q
0
12
3 5 2 2 4 5 3 2
1
cosq
1
3 2 4 5 2 2 3 5 1 2
0
tan q
0
3 3 3 4
1
4 3
3
Thefollowingconventionsareusedinthisexam. I. Theframeofreferenceofanyproblemisassumedtobeinertialunless otherwisestated. II. Assumeairresistanceisnegligibleunlessotherwisestated.
III. Inallsituations,positiveworkisdefinedasworkdoneonasystem. IV. Thedirectionofcurrentisconventionalcurrent:thedirectioninwhich
positivechargewoulddrift. V. Assumeallbatteriesandmetersareidealunlessotherwisestated.
AP? PHYSICS 1 EQUATIONS
MECHANICS
?x ?x0 axt
x
x0
?x0 t
1 2
axt
2
?x2 ?x20 2ax x x0
a
?F
Fnet
mm
Ff m Fn
ac
? 2 r
p mv
Dp
F Dt
K
1 2
mv 2
DE W Fd Fd cosq
P
DE D t
q
q0
w0t
1 2
at2
a = acceleration A = amplitude d = distance E = energy f = frequency F = force I = rotationalinertia K = kineticenergy k = springconstant L = angularmomentum = length m = mass P = power p = momentum r = radiusorseparation T = period t = time U = potentialenergy V = volume v = speed W = workdoneonasystem x = position y = height a = angularacceleration
m = coefficientoffriction
q = angle
r = density
w w0 at
x Acos2p ft a ?t tnet
II
t rAF rF sinq
t = torque w = angularspeed
DUg mg Dy
T
2p w
1 f
L Iw
DL t Dt
K
1 2
I
w 2
Fs
k x
Us
1 2
kx 2
Ts
2p m k
Tp
2p g
Fg
G
m1m2 r 2
g Fg m
r m V
UG
Gm1m2 r
GEOMETRY AND TRIGONOMETRY
Rectangle A bh
Triangle
A
1 2
b h
Circle
A pr2 C 2pr
A =area C =circumference V =volume S =surfacearea b =base h =height =length w =width r =radius
Rectangularsolid V wh
Cylinder
V pr2 S 2pr 2pr2
Sphere
V
4 3
pr3
S 4pr2
Righttriangle c2 a2 b2 sinq a c cosq b c tanq a b
c
a
q
90?
b
AP? Physics 1 2022 Free-Response Questions Begin your response to QUESTION 1 on this page.
PHYSICS 1 SECTION II Time--1 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. k0 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 k0, 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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