AP MC Practice Problems-problems
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
1
This print-out should have 113 questions.
Multiple-choice questions may continue on
the next column or page – find all choices
before answering.
001
10.0points
A rocket initially at rest accelerates at a rate
of 90 m
/
s
2
for 0
.
39 min.
What is its speed at the end of this time?
1.
1900 m/s
2.
1580 m/s
3.
1470 m/s
4.
1260 m/s
5.
1790 m/s
6.
1370 m/s
7.
1680 m/s
8.
1160 m/s
9.
2110 m/s
10.
2000 m/s
002
10.0points
A runner is jogging at a steady 1 km
/
hr.
When the runner is 0
.
88 km from the finish
line a bird begins flying from the runner to
the finish line at 3 km
/
hr (3 times as fast
as the runner).
When the bird reaches the
finish line, it turns around and flies back to
the runner. After this first encounter, the bird
then turns around and flies from the runner
back to the finish line, turns around again and
flies back to the runner. The bird repeats the
back and forth trips until the runner reaches
the finish line.
L
v
b
v
r
finish
line
How far did the bird travel? Even though
the bird is a dodo, assume that it occupies
only one point in space (a “zero” length bird)
and that it can turn without loss of speed.
1.
1.30 km
≤
d
b
<
1.40 km
2.
1.75 km
≤
d
b
<
2.00 km
3.
1.40 km
≤
d
b
<
1.50 km
4.
2.75 km
≤
d
b
<
3.00 km
5.
2.00 km
≤
d
b
<
2.25 km
6.
3.00 km
≤
d
b
<
5.00 km
7.
1.50 km
≤
d
b
<
1.75 km
8.
2.50 km
≤
d
b
<
2.75 km
9.
5.00 km
≤
d
b
≤ ∞
km
10.
2.25 km
≤
d
b
<
2.50 km
003
10.0points
Consider a bicycle that has wheels with a
circumference of 2 m
.
What is the linear speed of the bicycle when
the wheels rotate at 1 revolution per second?
1.
4 m/s.
2.
0.5 m/s.
3.
1 m/s.
4.
2 m/s.
004
10.0points
Chuck drove 35 mi from Austin to San Mar-
cos in 40 min, stopped 30 min for a ham-
burger, and then drove 45 mi to San Antonio
in 50 min. What was Chuck’s average speed?
1.
43 mph
2.
53 mph
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
2
3.
40 mph
4.
50 mph
5.
30 mph
6.
56 mph
005
10.0points
The
modern
standard
of
length
is
1
m
and
the
speed
of
light
is
approximately
2
.
99792
×
10
8
m
/
s
.
Find the time Δ
t
for light to cover 1 m at
the given speed.
1.
Δ
t
≈
3
.
3
×
10
−
6
s
2.
Δ
t
≈
3
×
10
−
9
s
3.
Δ
t
≈
3
×
10
−
8
s
4.
Δ
t
≈
3
×
10
−
10
s
5.
Δ
t
≈
3
×
10
−
6
s
6.
Δ
t
≈
3
.
3
×
10
−
7
s
7.
Δ
t
≈
3
.
3
×
10
−
10
s
8.
Δ
t
≈
3
.
3
×
10
−
9
s
9.
Δ
t
≈
3
×
10
−
7
s
10.
Δ
t
≈
3
.
3
×
10
−
8
s
006
10.0points
Which of the following describe possible sce-
narios?
A) An object has zero instantaneous velocity
and non-zero acceleration.
B) An object has negative acceleration and
is speeding up.
C) An object has positive acceleration and
constant velocity.
D) An object has positive velocity and zero
acceleration.
E) An object has increasing positive posi-
tion and negative velocity.
F) An object has decreasing positive posi-
tion and negative acceleration.
1.
A, D, E, and F only.
2.
A, C, D, and F only.
3.
A, B, C, D, and F only.
4.
A, B, D, and F only.
5.
All are possible.
6.
A, B, D, E, and F only.
7.
B, C, and D only.
8.
A, D, and F only.
9.
None are possible.
10.
D and F only.
007
10.0points
The diagram describes the acceleration
vs
time behavior for a car moving in the
x
-
direction.
a
P
Q
t
0
At the point
Q
, the car is moving
1.
with a decreasing velocity.
2.
with an increasing velocity.
3.
with a constant velocity.
008
10.0points
Can an object reverse its direction of travel
while maintaining a constant acceleration?
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
3
1.
No; the direction of the speed is always
the same as the direction of the acceleration.
2.
Yes; a ball thrown toward a wall bounces
back from the wall.
3.
Yes; a ball tossed upward reverses its
direction of travel at its highest point.
4.
No; if the acceleration is constant, the
direction of the speed remains unchanged.
5.
All are wrong.
009
10.0points
You drive north on a highway, then, without
changing speed, you round a curve and drive
east.
What is the change of your velocity and
your acceleration?
1.
Both velocity and acceleration change.
2.
The velocity changes;
the acceleration
does not change.
3.
Neither
velocity
nor
acceleration
change.
4.
It cannot be determined by the informa-
tion given.
5.
The velocity does not change; the accel-
eration changes.
010
10.0points
Which of the following is an example of some-
thing that undergoes acceleration while mov-
ing at constant speed?
1.
A car moving straight backwards on the
road
2.
A car making a circle in a parking lot
3.
A man standing in an elevator
4.
None of these. An object that undergoes
an acceleration has to change its speed
5.
A football flying in the air
011
10.0points
Consider the expression 2
π
radicalBigg
ℓ
g
,
where
ℓ
is
length and
g
is gravitational acceleration in
units of length divided by time squared.
Evaluate its units.
1.
m
2.
s
m
3.
m
2
4.
s
5.
s
2
6.
parenleftBig
m
s
parenrightBig
2
7.
m
s
8.
parenleftBig
s
m
parenrightBig
2
012(part1of2)10.0points
A particle’s position, captured by a strobe
camera, is shown below. The positions have
been labeled times
t
0
through
t
8
.
The time
intervals are equally separated.
t
0
t
1
t
2
t
3
t
4
t
5
t
6
t
8
t
5
t
6
West
East
North
South
Describe the instantaneous velocity vectors
for successive instances.
1.
Pointing northward and constant in mag-
nitude.
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
4
2.
Pointing southward and constant in mag-
nitude.
3.
Pointing northward and increasing in
magnitude.
4.
Cannot be determined from the given
information.
5.
Pointing southward and decreasing in
magnitude.
6.
Pointing southward and increasing in
magnitude.
7.
Pointing northward and decreasing in
magnitude.
013(part2of2)10.0points
What can describe the instantaneous acceler-
ation vectors of the particle at the successive
intervals shown in the figure?
1.
Pointing southward and increasing in
magnitude.
2.
Cannot be determined from the given
information.
3.
Pointing northward and constant in mag-
nitude.
4.
Pointing northward and increasing in
magnitude.
5.
Pointing southward and constant in mag-
nitude.
6.
Pointing northward and decreasing in
magnitude.
7.
Pointing southward and decreasing in
magnitude.
014
10.0points
A 500-kilogram sports car accelerates uni-
formly from rest, reaching a speed of 30 me-
ters per second in 6 seconds.
What distance has the car traveled during
the 6 seconds?
1.
180 m
2.
15 m
3.
60 m
4.
90 m
5.
30 m
015(part1of2)10.0points
On March 19, 1954, Colonel John P. Stapp,
USAF, attained the world speed record in
a rocket-propelled sled that moved down the
track at 632 mi
/
h. He and the sled were safely
brought to rest in 1
.
4 s.
Determine the acceleration he experienced.
1.
−
165
.
524 ft
/
s
2
2.
−
132
.
419 ft
/
s
2
3.
−
2648
.
38 ft
/
s
2
4.
−
1986
.
29 ft
/
s
2
5.
−
331
.
048 ft
/
s
2
6.
−
1324
.
19 ft
/
s
2
7.
−
220
.
698 ft
/
s
2
8.
−
662
.
095 ft
/
s
2
9.
−
3310
.
48 ft
/
s
2
016(part2of2)10.0points
How far did he travel during this deceleration?
1.
1297
.
71 ft
2.
648
.
853 ft
3.
6488
.
53 ft
4.
259
.
541 ft
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
5
5.
324
.
427 ft
6.
5190
.
83 ft
7.
2595
.
41 ft
8.
3893
.
12 ft
9.
432
.
569 ft
017
10.0points
The
x
-coordinates
of
two
objects
moving
along the
x
-axis are given as a function of
time
t
.
x
1
= (4 m
/
s)
t
and
x
2
=
−
(159 m) + (24 m
/
s)
t
−
(1 m
/
s
2
)
t
2
.
Calculate the magnitude of the distance of
closest approach of the two objects.
x
1
and
x
2
never have the same value.
1.
81 m
2.
42 m
3.
86 m
4.
48 m
5.
71 m
6.
68 m
7.
59 m
8.
58 m
9.
63 m
10.
73 m
018
10.0points
If you drop an object, it will accelerate down-
ward at a rate of
g
= 9
.
8 m
/
s
2
.
If you throw it downward instead, its accel-
eration (in the absence of air resistance) will
be
1.
9
.
8 m
/
s
2
2.
less than 9
.
8 m
/
s
2
.
3.
Unable to determine.
4.
greater than 9
.
8 m
/
s
2
.
019
10.0points
An object is released from rest on a planet
that has no atmosphere.
The object falls
freely for 3 m in the first second.
What is the magnitude of the acceleration
due to gravity on the planet?
1.
10
.
0 m
/
s
2
2.
3
.
0 m
/
s
2
3.
12
.
0 m
/
s
2
4.
1
.
5 m
/
s
2
5.
6
.
0 m
/
s
2
020
10.0points
In
the
absence
of
air
friction,
an
object
dropped near the surface of the Earth ex-
periences a constant acceleration of about 9.8
m/s
2
.
This means that the
1.
speed of the object increases 9.8 m/s dur-
ing each second.
2.
object falls 9.8 meters during the first
second only.
3.
derivative of the distance with respect to
time for the object equals 9.8 m/s
2
.
4.
object falls 9.8 meters during each sec-
ond.
5.
speed of the object as it falls is 9.8 m/s.
021
10.0points
A ball is released from rest and falls a distance
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
6
h
under the influence of gravity.
What is its
averagespeed
during the fall?
1.
0
2.
2
radicalbig
g h
3.
radicalbig
2
g h
4.
1
2
radicalbig
g h
5.
radicalbigg
1
2
g h
6.
radicalbig
g h
022
10.0points
A ball is dropped from rest at point
O .
It
passes a window with height 3
.
8 m in time
interval
t
AB
= 0
.
02 s.
O
A
B
3
.
8 m
x
y
Identify the correct pair of equations, which
enable us to solve for speed
v
B
.
Assume down
is the positive
y
direction. Use
g
= 9
.
8 m
/
s
2
.
bardbl
vectorv
bardbl
=
v
is the speed of the ball.
1.
v
B
−
v
A
=
g t
AB
, v
A
+
v
B
=
h
t
AB
2.
v
B
−
v
A
=
g t
AB
,
v
A
+
v
B
2
=
h
t
AB
3.
v
A
−
v
B
=
g t
AB
,
v
A
+
v
B
2
=
h
t
AB
4.
v
A
−
v
B
=
g t
AB
, v
A
+
v
B
=
h
t
AB
023
10.0points
A ball is thrown upward with an initial verti-
cal speed of
v
0
to a maximum height of
h
max
.
v
0
h
max
What is its maximum height
h
max
?
The
acceleration of gravity is
g
. Neglect air resis-
tance.
1.
h
max
=
v
2
0
√
2
g
2.
h
max
=
√
3
v
2
0
2
g
3.
h
max
=
3
v
2
0
4
g
4.
h
max
=
v
2
0
2
g
5.
h
max
=
√
3
v
2
0
2
√
2
g
6.
h
max
=
v
2
0
g
7.
h
max
=
v
2
0
4
g
8.
h
max
=
5
v
2
0
8
g
9.
h
max
=
√
5
v
2
0
2
√
2
g
024
10.0points
A child throws a steel ball straight up. Con-
sider the motion of the ball after it has left the
child’s hand but before it touches the ground,
and assume that forces exerted by the air are
negligible.
For these conditions, identify the force(s)
acting on the ball.
1.
A downward force of gravity along with a
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
7
steadily decreasing upward force
2.
None of these; the ball falls back to the
ground because of its natural tendency to rest
on the surface of the earth.
3.
An almost constant downward force of
gravity only
4.
An almost constant downward force of
gravity
along
with
an
upward
force
that
steadily decreases until the ball reaches its
highest point; on the way down only an al-
most constant force of gravity
5.
A steadily decreasing upward force from
the moment it leaves the child’s hand until it
reaches its highest point; on the way down, a
steadily increasing downward force of gravity
as the object gets closer to earth
025
10.0points
A carpenter working on top of a tall building
drops his hammer. In one second it falls one
story down from the top.
In one more second it will be
1.
2 stories below the top.
2.
5 stories below the top.
3.
16 stories below the top.
4.
back in the carpenters hand.
5.
4 stories below the top.
6.
3 stories below the top.
026
10.0points
Henry has tossed a rock upward.
It has
already been released and is moving upward
at time
t
= 0, turns around at
t
1
, and hits the
ground at
t
2
.
Which of the following curves could de-
scribes the acceleration of the rock?
1.
t
a
t
1
t
2
2.
None of these graphs is correct.
3.
t
a
t
1
t
2
4.
t
a
t
1
t
2
5.
t
a
t
1
t
2
6.
t
a
t
1
t
2
7.
t
a
t
1
t
2
8.
t
a
t
1
t
2
9.
t
a
t
1
t
2
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
8
027
10.0points
Henry hits a hockey puck in the positive
x
-direction at time,
t
≈
t
0
. The puck is then
stopped by a net starting at time,
t
≈
t
1
.
Which of the following curves could de-
scribe the acceleration of the hockey puck if
we ignore any effects of friction?
1.
t
a
t
0
t
1
2.
t
a
t
0
t
1
3.
t
a
t
0
t
1
4.
t
a
t
0
t
1
5.
t
a
t
0
t
1
6.
None of these graphs are correct.
7.
t
a
t
0
t
1
8.
t
a
t
0
t
1
9.
t
a
t
0
t
1
028
10.0points
The graph shows position as a function of
time for two trains running on parallel tracks.
At time
t
= 0 the position of both trains is 0
(at the origin).
position
time
t
B
B
A
Which is true?
1.
Somewhere before time
t
B
, both trains
have the same acceleration.
2.
Both trains have the same velocity at
some time before
t
B
.
3.
At time
t
B
, both trains have the same
velocity.
4.
In the time interval from
t
= 0 to
t
=
t
B
,
train B covers more distance than train A.
5.
Both trains speed up all the time.
029
10.0points
Consider a toy car which moves to the right
(positive direction) on a horizontal surface
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
9
along a straight line.
car
v
O
+
Which acceleration-time graph corresponds
to the motion of the car if it moves toward the
right, while slowing down at a steady rate.
1.
t
a
2.
t
a
3.
t
a
4.
t
a
5.
t
a
6.
t
a
7.
None of these graphs is correct.
8.
t
a
030
10.0points
An object was suspended in a fixed place
and then allowed to drop in a free fall.
Taking down as the positive vertical di-
rection, which graph correctly represents its
motion as vertical
velocity
vs
time
?
1.
t
y
2.
t
y
3.
t
y
4.
t
y
5.
t
y
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
10
6.
t
y
7.
t
y
8.
t
y
031
10.0points
Identify the equation below which is dimen-
sionally
incorrect
.
A, x, y
and
r
have units of length.
k
here
has units of inverse length.
v
0
and
v
have units
of velocity.
a
and
g
have units of acceleration.
ω
has units of inverse time.
t
is time,
m
is
mass,
V
is volume,
ρ
is density, and
F
=
m a
is force.
1.
g
=
F
m
+
ρ
m
g V
2.
v
=
±
ω
radicalbig
A
2
−
x
2
3.
t
=
−
v
0
+
radicalBig
v
2
0
+ 2
a x
a
+
v
2
a
2
t
4.
y
=
A
cos(
kx
−
ωt
)
5.
F
=
m g
bracketleftbigg
1 +
v
r g
bracketrightbigg
6.
v
=
radicalbig
2
g y
+
radicalbigg
r F
m
7.
F
=
m ω
2
r
8.
v
0
=
radicalbig
v
2
−
2
a x
032
10.0points
An empty office chair is at rest on a floor.
Consider the following forces:
1. A downward force due to gravity;
2. An upward force exerted by the floor; and
3. A net downward force exerted by the air.
Which force(s) act on the office chair?
1.
1 only
2.
None of the forces act on the chair since
it is at rest.
3.
2 and 3 only
4.
1 and 2 only
5.
All three forces
033
10.0points
Despite a very strong wind, a tennis player
manages to hit a tennis ball with her racquet
so that the ball passes over the net and lands
in her opponent’s court.
Consider the following forces:
1. A downward force of gravity,
2. A force by the hit, and
3. A force exerted by the air.
Which of the above forces is (are) acting on
the tennis ball after it has left contact with
the racquet and before it touches the ground?
1.
1, 2, and 3.
2.
1 only.
3.
2 and 3.
4.
1 and 2.
5.
1 and 3.
034
10.0points
Your friend says that inertia is a force that
keeps things in their places, either at rest or
motion.
Do you agree? Why or why not?
1.
Disagree;
inertia is a force that keeps
things moving.
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
11
2.
All are wrong.
3.
Agree; inertia is not a force that keeps
things moving.
4.
Disagree; inertia is a property of matter
to behave this way, not some kind of force.
5.
Agree; only forces can keep things in their
places.
035
10.0points
Before the time of Galileo and Newton, some
learned scholars thought that a stone dropped
from the top of a tall mast of a moving ship
would fall vertically and hit the deck behind
the mast by a distance equal to how far the
ship had moved forward while the stone was
falling.
In light of your understanding of Newton’s
first law, what is true?
1.
Everyone on the ship will see the stone
fall vertically if released from rest.
2.
All are wrong.
3.
The stone will have a horizontal motion;
it will hit the deck in front of the mast.
4.
The stone will fall in some trajectory
depending on the speed of the ship.
5.
If the ship speed is fast enough, the stone
will drop into the sea.
036
10.0points
If an object is not accelerating, how many
forces act on it?
1.
Unable to determine
2.
3
3.
2
4.
0
5.
1
037(part1of2)10.0points
Three objects can only move along a straight,
level path.
The graphs below show the po-
sition
d
of each of the objects plotted as a
function of time
t
.
d
t
I
d
t
II
d
t
III
The magnitude of the velocity
bardbl
vectorv
bardbl
of the
object increases in which of the cases?
1.
I and III only
2.
III only
3.
II and III only
4.
II only
5.
I only
6.
I, II, and III
7.
I and II only
038(part2of2)10.0points
The sum of the forces
summationdisplay
F
i
on the object is
zero in which of the cases?
1.
II and III only
2.
I, II, and III
3.
I and III only
4.
I and II only
5.
I only
6.
II only
7.
III only
039
10.0points
Two 35 N forces and a 70 N force act on a
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
12
hanging box as shown.
35 N
35 N
70 N
Will the box experience acceleration?
1.
Unable to determine without the angle.
2.
Yes; downward.
3.
No; it is balanced.
4.
Yes; upward.
040
10.0points
A car moves to the right along a horizontal
line (the positive part of the distance axis)
and is slowing down at a steady rate (constant
acceleration
).
car
v
g
O
+
Identify the force graph which would allow
the described motion of the car to continue.
1.
t
F
2.
t
F
3.
t
F
4.
t
F
5.
t
F
6.
t
F
7.
None of these graphs are correct.
8.
t
F
9.
t
F
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
13
10.
t
F
041
10.0points
A spider of mass
m
is sitting in a perfectly
symmetric web (in a vertical plane with 45
◦
angles between the web lines) as shown in the
figure below, where
T
i
’s denote the tensions
along the lines which are connected to the spi-
der at the center with
i
= 1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
.
The tension are all positive.
T
1
T
2
T
3
T
4
T
5
T
6
T
7
T
8
m
How is the tension
T
3
related to
T
2
,
T
8
,
and
T
7
?
Hint:
From left-right symmetry, we see that
T
1
=
T
5
, T
2
=
T
4
,
and
T
8
=
T
6
.
1.
T
3
=
T
7
+ (
T
8
+
T
2
)
√
2
−
m g
2.
T
3
=
T
7
−
(
T
8
+
T
2
)
√
2
−
m g
3.
T
3
=
T
7
+ (
T
8
−
T
2
)
√
2
−
m g
4.
T
3
=
T
7
+ (
T
8
−
T
2
)
√
2 +
m g
5.
T
3
=
T
7
6.
T
3
=
T
7
+
m g
7.
T
3
=
T
7
−
(
T
8
+
T
2
)
√
2 +
m g
8.
T
3
=
T
7
+ (
T
8
+
T
2
)
√
2 +
m g
9.
T
3
=
T
7
−
(
T
8
−
T
2
)
√
2 +
m g
10.
T
3
=
T
7
−
(
T
8
−
T
2
)
√
2
−
m g
042
10.0points
Consider a bird landing on a stretched power-
line wire.
Which of the following is correct?
1.
None of these
2.
The tension in the wire will change; the
added tension is less than the bird’s weight.
3.
The tension in the wire will not change.
4.
The tension in the wire will change;
the added tension is more than the bird’s
weight.
5.
The tension in the wire will change; the
added tension is equal to the bird’s weight.
043(part1of2)10.0points
A fast-moving VW Beetle traveling at 59 mph
hit a mosquito hovering at rest above the road.
Which bug experienced the largest force?
1.
the insect
2.
Unable to determine
3.
They experienced the same magnitude of
force.
4.
the VW
044(part2of2)10.0points
Which bug experienced the greatest accelera-
tion?
1.
Unable to determine.
2.
the insect
3.
the VW
4.
Their acceleration is same.
045
10.0points
When you are moving up at constant speed
in an elevator, there are two forces acting on
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
14
you:
the floor pushing up on you (
F
1
) and
gravity pulling down (
F
2
).
What’s the relation of the magnitude of
F
1
and
F
2
?
1.
F
1
< F
2
from Newton’s second law.
2.
It depends on which direction the elevator
is moving.
3.
F
1
=
F
2
from Newton’s third law.
4.
F
1
> F
2
from Newton’s second law.
5.
F
1
=
F
2
from Newton’s first law.
046
10.0points
A book rests on the shelf of a bookcase.
The reaction force to the force of gravity
acting on the book is
1.
The weight of the book.
2.
The frictional force between book and
shelf.
3.
The force of the shelf holding the book
up.
4.
The force exerted by the book on the
earth.
5.
None of these.
047
10.0points
Two students sit in identical office chairs fac-
ing each other. Bob has a mass of 95 kg, while
Jim has a mass of 77 kg. Bob places his bare
feet on Jim’s knees, as shown to the right.
Bob then suddenly pushes outward with his
feet, causing both chairs to move.
Bob
Jim
In this situation, while Bob’s feet are in
contact with Jim’s knees,
1.
Each student exerts a force on the other,
but Bob exerts a larger force.
2.
Each student exerts the same amount of
force on the other.
3.
Bob exerts a force on Jim, but Jim doesn’t
exert a force on Bob.
4.
Neither student exerts a force on the
other.
5.
None of these answers is correct.
6.
Each student exerts a force on the other,
but Jim exerts a larger force.
048
10.0points
When you jump vertically off the ground,
what is your acceleration when you reach your
highest point? Up is positive.
1.
−
g
3
2.
−
g
2
3.
g
3
4.
g
2
5.
g
6.
All are wrong.
7.
−
g
8.
0 m
/
s
2
049
10.0points
An elevator is being lifted up an elevator shaft
at a constant speed by a steel cable as shown
in the figure below.
All frictional effects are
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
15
negligible.
steel
cable
Elevator going up
at constant speed
In this situation, forces on the elevator are
such that
1.
None of these.
(The elevator goes up
because the cable is being shortened, not be-
cause an upward force is exerted on the eleva-
tor by the cable.)
2.
The upward force exerted by the cable is
greater than the sum of the downward force
of gravity and a downward force due to the
air.
3.
The upward force exerted by the cable is
smaller than the downward force of gravity.
4.
The upward force exerted by the cable is
equal to the downward force of gravity.
5.
Because of Newton’s 3rd Law, the force
exerted by the cable is the same as the force
of gravity.
6.
The upward force exerted by the cable is
greater than the downward force of gravity.
7.
The cable is supporting the elevator but
is not exerting any force.
050
10.0points
How is weight related to mass?
1.
Weight is directly proportional to mass.
2.
Weight
is
inversely
proportional
to
mass.
3.
They are the same.
4.
W
= 1
.
6
m
5.
W
= 4
.
9
m
6.
W
= 9
.
8
m
7.
None of these
051(part1of2)10.0points
Four forces act on an object.
F
1
F
4
F
2
F
3
If the object is accelerating to the right,
compare the forces.
1.
F
1
=
F
2
,
F
3
< F
4
2.
F
1
=
F
2
,
F
3
> F
4
3.
F
1
< F
2
,
F
3
< F
4
4.
F
1
=
F
2
,
F
3
=
F
4
5.
F
1
> F
2
,
F
3
< F
4
052(part2of2)10.0points
If the object is accelerating upward and to
the right, compare
F
1
to
F
2
and
F
3
to
F
4
.
1.
F
1
=
F
2
,
F
3
< F
4
2.
F
1
=
F
2
,
F
3
> F
4
3.
F
1
=
F
2
,
F
3
=
F
4
4.
F
1
> F
2
,
F
3
< F
4
5.
F
1
< F
2
,
F
3
< F
4
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053(part1of2)10.0points
A balloon is waiting to take off.
As seen in
the figure below, the balloon’s basket sits on
a platform which rests on the ground.
The
balloon is pulling up on the basket, but not
hard enough to lift it off the platform.
platform
basket
ground
balloon
What is the free-body diagram for the plat-
form?
Some parallel vectors are offset hori-
zontally for clarity.
1.
F
plat on bask
F
plat on ground
F
grav on plat
2.
F
ground on plat
F
grav on plat
F
bask on plat
3.
F
bal on plat
F
plat on ground
F
grav on plat
4.
F
bal on plat
F
grav on plat
5.
F
bal on bask
F
grav on bask
F
grav on plat
054(part2of2)10.0points
What is the free body diagram for the bas-
ket?
Again some parallel vectors are offset
horizontally for clarity.
1.
F
grav on bask
F
bal on bask
F
plat on bask
2.
F
bask on plat
F
bask on bal
F
grav on bask
3.
F
bal on bask
F
bal on bask
F
ground on bask
4.
F
bask on plat
F
bask on bal
F
bal on bask
5.
F
bal on bask
F
grav on bask
055
10.0points
A man stands in an elevator in the university’s
administration building and is accelerating
upwards.
(During peak hours, this does not
happen very often.)
Elevator Cable
Choose the correct free body diagram for
the man, where
F
i,j
is the force on the object
i
, from the object
j
.
1.
F
F
man, floor
man, earth
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
17
2.
F
elevator, cable
F
man, elevator
3.
F
F
elevator, cable
man, earth
4.
F
man, acceleration
5.
F
man, cable
6.
F
man, floor
F
elevator, cable
F
man, earth
056(part1of6)10.0points
Consider a massless, frictionless pulley at-
tached to the ceiling. A massless, inextensible
string is attached to the masses
M
b
and
M
a
,
where
M
b
> M
a
.
The tensions
T
y
,
T
z
,
T
x
, and
the gravitational constant
g
are magnitudes.
ℓ
R
ω
M
b
M
a
T
y
T
x
T
z
What is true about the tensions
T
y
and
T
x
?
1.
T
y
=
M
b
g
and
T
x
=
M
a
g
2.
T
y
=
M
b
g
and
T
x
> M
a
g
3.
T
y
< M
b
g
and
T
x
> M
a
g
4.
T
y
> M
b
g
and
T
x
< M
a
g
5.
T
y
< M
b
g
and
T
x
=
M
a
g
6.
T
y
> M
b
g
and
T
x
> M
a
g
7.
T
y
< M
b
g
and
T
x
< M
a
g
8.
T
y
> M
b
g
and
T
x
=
M
a
g
9.
T
y
=
M
b
g
and
T
x
< M
a
g
057(part2of6)10.0points
What is the relationship between
T
y
and
T
x
?
1.
T
y
=
T
x
2.
T
y
> T
x
3.
T
y
< T
x
058(part3of6)10.0points
Which relationship about
T
z
is true?
1.
T
z
< M
b
g
+
M
a
g
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
18
2.
T
z
> M
b
g
+
M
a
g
3.
T
z
=
M
b
g
+
M
a
g
059(part4of6)10.0points
What is the relationship between the three
tensions?
1.
T
y
+
T
x
< T
z
2.
T
y
+
T
x
=
T
z
3.
T
y
+
T
x
> T
z
060(part5of6)10.0points
How are
bardbl
vectora
x
bardbl
and
bardbl
vectora
y
bardbl
related?
1.
bardbl
vectora
x
bardbl
=
bardbl
vectora
y
bardbl
2.
bardbl
vectora
x
bardbl
>
bardbl
vectora
y
bardbl
3.
bardbl
vectora
x
bardbl
<
bardbl
vectora
y
bardbl
061(part6of6)10.0points
What is true about the center of mass of the
system?
1.
The center of mass accelerates.
2.
The center of mass has a constant veloc-
ity.
3.
The center of mass is stationary.
062
10.0points
Pretend you are on a planet similar to Earth
where the acceleration of gravity is approxi-
mately 10 m
/
s
2
.
The pulley is massless and frictionless.
A
massless inextensible string is attached to the
masses. The objects are initially held at rest.
7 m
0
.
9 m
ω
90 kg
45 kg
90 kg
If a third object with a mass of 45 kg is
hung on one of the 90 kg objects as shown
and the objects are released, the magnitude
of the acceleration
vectora
of the 45 kg object is
most nearly
1.
bardbl
vectora
bardbl ≈
3 m/s
2
2.
bardbl
vectora
bardbl ≈
1 m/s
2
3.
bardbl
vectora
bardbl ≈
2 m/s
2
4.
bardbl
vectora
bardbl ≈
4 m/s
2
5.
bardbl
vectora
bardbl ≈
8 m/s
2
6.
bardbl
vectora
bardbl ≈
10 m/s
2
7.
bardbl
vectora
bardbl ≈
6 m/s
2
8.
bardbl
vectora
bardbl ≈
30 m/s
2
063
10.0points
The chimney of a stationary toy train con-
sists of a vertical spring gun that shoots steel
balls a meter or so straight into the air – so
straight that the ball always falls back into
the chimney.
If the train is moving, under which condi-
tion will the ball fall back into the chimney?
1.
All are wrong.
2.
The train moves at constant speed along
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
19
the straight track.
3.
The train moves at a constant speed on a
circular track.
4.
The train suddenly decreases its speed
when the ball is in the air.
5.
The train suddenly increases its speed
when the ball is in the air.
064
10.0points
If only an external force can change the veloc-
ity of a body, how can the internal force of the
brakes bring a car to rest?
1.
Some internal forces can change the ve-
locity of a body.
2.
It is the force of the road on the tires (an
external force) that stops the car.
3.
It is the driver, not the car itself who
causes
the
breaking,
so it is an
external
force.
4.
The engine is stopped, so the car has no
force to run further.
065
10.0points
You are pushing a wooden crate across the
floor at a constant speed. You decide to turn
the crate on end, reducing by half the area in
contact with the floor. In the new orientation,
to push the same crate across the same floor
with the same constant speed, the force that
you apply must be about:
1.
1
2
as great
2.
4 times as great
3.
2 times as great
4.
equally great
5.
1
4
as great
as the force required before you changed
the crate’s orientation.
066(part1of2)10.0points
A block of mass
m
is accelerated across a
rough surface by a force of magnitude
F
that
is exerted at an angle
φ
with the horizontal,
as shown above.
The frictional force on the
block exerted by the surface has magnitude
f
.
f
F
φ
m
What is the magnitude of the acceleration
vectora
of the block?
1.
|
vectora
|
=
F
cos
φ
−
f
m
2.
|
vectora
|
=
F
−
f
m
3.
|
vectora
|
=
F
cos
φ
m
4.
|
vectora
|
=
F
m
5.
|
vectora
|
=
F
sin
φ
−
m g
m
067(part2of2)10.0points
Which of the following expressions for the
coefficient of friction is correct?
1.
µ
=
f
m g
2.
µ
=
f
m g
−
F
sin
φ
3.
µ
=
m g
f
4.
µ
=
f
m g
−
F
cos
φ
5.
µ
=
m g
−
F
cos
φ
f
068
10.0points
A race car travels along a raceway at a con-
stant velocity of 200 km/h.
What is the net force acting on the car?
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
20
1.
200 N
2.
It depends on the mass of the car.
3.
100 N
4.
All are wrong.
5.
0 N
069
10.0points
A block of mass 6
.
9 kg rests on a plane inclined
at an angle of 24
◦
.
The static coefficient of
friction between the block and the plane is
0
.
61.
What is the frictional force on the block?
1.
16
.
7772 N
2.
37
.
6821 N
3.
61
.
7739 N
4.
10
.
1786 N
5.
27
.
5035 N
070
10.0points
A force
vector
F
applied to a crate of mass
M
at
an angle
α
makes the crate move horizontally
with a constant acceleration of magnitude
a
.
The coefficient of kinetic friction between the
crate and the surface is
µ
k
.
M
µ
k
F
α
Select the correct expression for
bardbl
vector
F
bardbl
, the
magnitude of the force.
1.
bardbl
vector
F
bardbl
=
M a
−
µ
k
M g
cos
α
+
µ
k
sin
α
2.
bardbl
vector
F
bardbl
=
M a
+
µ
k
M g
cos
α
3.
bardbl
vector
F
bardbl
=
µ
k
M g
−
M a
cos
α
−
µ
k
sin
α
4.
bardbl
vector
F
bardbl
=
M a
−
µ
k
M g
cos
α
−
µ
k
sin
α
5.
bardbl
vector
F
bardbl
=
M a
−
µ
k
M g
µ
k
sin
α
6.
bardbl
vector
F
bardbl
=
µ
k
M g
−
M a
cos
α
+
µ
k
sin
α
7.
bardbl
vector
F
bardbl
=
M a
+
µ
k
M g
µ
k
sin
α
8.
bardbl
vector
F
bardbl
=
M a
−
µ
k
M g
cos
α
9.
bardbl
vector
F
bardbl
=
M a
+
µ
k
M g
cos
α
+
µ
k
sin
α
10.
bardbl
vector
F
bardbl
=
M a
+
µ
k
M g
cos
α
−
µ
k
sin
α
071
10.0points
Given:
Each block has masses
m
1
=
m
2
=
m
3
=
m
and the coefficient of kinetic friction
is
µ
.
The magnitude of
F
equals twice the
total frictional force.
Apply a horizontal force
F
in pushing an ar-
ray of three identical blocks in the horizontal
plane (see sketch).
m
1
m
2
m
3
F
µ
Find the acceleration.
1.
a
=
g
2
2.
a
= 2
g
3.
a
= 3
µ g
4.
a
=
µ g
5.
a
= 2
µ g
6.
a
=
g
7.
a
=
µ g
3
8.
a
=
µ g
2
vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
21
9.
a
=
g
3
10.
a
= 3
g
072
10.0points
Consider the following situations.
A) An object travels as a projectile in a
gravitational field with negligible air re-
sistance.
B) An object moves with uniform circular
motion.
C) An object moves in a straight line at con-
stant speed.
In which of the situations would the object
be accelerated?
1.
A and C only
2.
None exhibits acceleration.
3.
A only
4.
B only
5.
All exhibit acceleration.
6.
A and B only
7.
C only
8.
B and C only
073
10.0points
An
automobile
moves
at
constant
speed
down one hill and up another hill along the
smoothly curved surface as shown below.
car
Which of the following diagrams best rep-
resents the directions of the velocity and the
acceleration of the automobile at the instant
that it is at the lowest position as shown?
1.
v
a
2.
v
a
3.
v
a
4.
v
a
5.
v
a
074
10.0points
An object moves along a circular path with a
constant speed,
|
vectorv
o
|
.
A
B
vectorv
A
vectorv
B
θ
θ
North
East
The average acceleration in going from A
to B is
1.
east
2.
north
3.
none of the others
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
22
4.
west
5.
zero
6.
south
075
10.0points
Calculate the average speed of the Moon
around the Earth.
The Moon has a period
of revolution of 27.3 days and an average dis-
tance from the Earth of 3
.
84
×
10
8
m.
1.
3688.5 m/s
2.
1022
.
9 m
/
s
3.
61374
.
2 m
/
s
4.
2045.8 m/s
5.
8
.
83789
×
10
7
m
/
s
6.
584000 m/s
7.
3
.
68245
×
10
6
m
/
s
8.
None of these
9.
2054.6 m/s
076
10.0points
If Spacecraft
X
has twice the mass of Space-
craft
Y
, then what is true about
X
and
Y
?
I) On Earth,
X
experiences twice the grav-
itational force that
Y
experiences;
II) On the Moon,
X
has twice the weight of
Y
;
III) When both are in the same circular orbit,
X
has twice the centripetal acceleration
of
Y
.
1.
I, II, and III
2.
I and II only
3.
II and III only
4.
I only
5.
III only
077(part1of2)10.0points
An ant of mass
m
clings to the rim of a
flywheel of radius
r
, as shown. The flywheel
rotates clockwise on a horizontal shaft
S
with
constant angular velocity
ω
.
As the wheel
rotates, the ant revolves past the stationary
points
I
,
II
,
III
, and
IV
. The ant can adhere
to the wheel with a force much greater than
its own weight.
r
S
I
II
III
IV
Ant
ω
It will be most difficult for the ant to adhere
to the wheel as it revolves past which of the
four points?
1.
It will be equally difficult for the ant to
adhere to the wheel at all points.
2.
IV
3.
I
4.
II
5.
III
078(part2of2)10.0points
What is the magnitude of the minimum adhe-
sion force necessary for the ant to stay on the
flywheel at point
III
?
1.
F
=
m ω
2
r
+
m g
2.
F
=
m ω
2
r
−
m g
3.
F
=
m ω
2
r
2
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
23
4.
F
=
m ω
2
r
2
+
m g
5.
F
=
m g
079
10.0points
Two identical stars, a fixed distance
D
apart,
revolve in a circle about their mutual center
of mass, as shown below. Each star has mass
M
and speed
v
.
D
v
v
M
M
Which of the following is a correct rela-
tionship among these quantities?
G
is the
universal gravitational constant.
1.
v
2
=
2
G M
2
D
2.
v
2
=
M G D
3.
v
2
=
G M
D
2
4.
v
2
=
4
G M
2
D
5.
v
2
=
4
G M
D
6.
v
2
=
2
G M
D
7.
v
2
=
G M
D
8.
v
2
=
G M
2
D
080
10.0points
Two spheres have equal densities and are sub-
ject only to their mutual gravitational attrac-
tion.
Which quantity must have the same mag-
nitude for both spheres?
1.
gravitational force
2.
kinetic energy
3.
acceleration
4.
displacement from the center of mass
5.
velocity
081
10.0points
Three masses are arranged in the (
x, y
)
plane as shown.
6 kg
1 kg
1 kg
y
(m)
1
3
5
7
9
x
(m)
1
3
5
7
9
What is the magnitude of the resulting
force on the 6 kg mass at the origin?
The
value of the universal gravitational constant
is 6
.
6726
×
10
−
11
N
·
m
2
/
kg
2
.
1.
2
.
985
×
10
−
11
N
2.
2
.
738
×
10
−
11
N
3.
2
.
41
×
10
−
11
N
4.
3
.
067
×
10
−
11
N
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
24
5.
2
.
656
×
10
−
11
N
6.
2
.
492
×
10
−
11
N
7.
2
.
82
×
10
−
11
N
8.
2
.
327
×
10
−
11
N
9.
2
.
574
×
10
−
11
N
10.
2
.
903
×
10
−
11
N
082
10.0points
Which of the objects
a. a book
b. the nearest star
c. the Sun
d. a distant galaxy
exert(s) a gravitational force on you?
1.
b, c and d
2.
a, b, c and d
3.
a
4.
a and d
5.
a and b
6.
c and d
7.
c
8.
a, b and c
9.
Another combination
10.
b
083
10.0points
A weight lifter lifts a mass
m
at constant
speed to a height
h
in time
t
.
How much work
W
is done by the weight
lifter?
1.
W
=
m g h
t
2.
W
=
m g
3.
W
=
m g h t
4.
W
=
m g h
5.
W
=
m h
084
10.0points
A block of mass
m
is pushed a horizontal dis-
tance D from position A to position B, along
a horizontal plane with friction coefficient
µ
.
Then the mass is pushed from B to A.
If the horizontal force pushing the mass
from A to B is
vector
P
, and the force pushing the
mass from B to A is
−
vector
P
, what is the total
work done by friction?
1.
−
2
µ m g D
2.
0
3.
+2
µ m g D
4.
2 (
P
−
µ m g
)
D
5.
2 (
µ m g
−
P
)
D
085
10.0points
A train car of mass 4600 kg rolls at constant
speed around a curve along a level frictionless
track of length 5000 m.
The acceleration of gravity is 9
.
8 m
/
s
2
.
The net work done on the train car is
1.
W
= 0 J
.
2.
Not enough information given.
3.
W
= 2
.
3
×
10
7
J
.
4.
W
=
−
2
.
3
×
10
7
J
.
5.
W
= 2
.
254
×
10
8
J
.
6.
W
=
−
2
.
254
×
10
8
J
.
086(part1of2)10.0points
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
25
A rock of mass
m
is thrown horizontally off
a building from a height
h
. The speed of the
rock as it leaves the thrower’s hand at the
edge of the building is
v
0
as shown.
v
0
h
Δ
x
How much time does it take the rock to
travel from the edge of the building to the
ground?
1.
t
=
h v
0
g
2.
t
=
h
v
0
3.
t
=
radicalbig
h v
0
4.
t
=
2
h
g
5.
t
=
radicalBigg
2
h
g
087(part2of2)10.0points
What is the kinetic energy of the rock just
before it hits the ground?
1.
K
f
=
1
2
m v
2
0
2.
K
f
=
1
2
m v
2
0
−
m g h
3.
K
f
=
m g h
−
1
2
m v
2
0
4.
K
f
=
1
2
m v
2
0
+
m g h
5.
K
f
=
m g h
088
10.0points
A 2698 kg car moves down a level highway
under the acceleration of two forces.
One is
1176 N forward force expected on the drive
while by the road; the other is 943 N resistive
force.
Find the speed of the car after it has moved
a distance of 27 m, assuming it starts from
rest.
1.
1
.
94 m/s
2.
1
.
62 m/s
3.
1
.
73 m/s
4.
2
.
48 m/s
5.
1
.
51 m/s
6.
2
.
05 m/s
7.
2
.
16 m/s
8.
2
.
27 m/s
9.
1
.
84 m/s
10.
2
.
38 m/s
089(part1of2)10.0points
If a golf ball and a ping-pong ball both move
with the same kinetic energy, which has the
greater speed?
1.
Cannot be determined
2.
the ping-pong ball
3.
The two balls have the same speed.
4.
the golf ball
090(part2of2)10.0points
In a gaseous mixture of massive molecules
and light molecules with the same average
KE, which have the greater speed?
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
26
1.
the massive molecules
2.
Cannot be determined
3.
the light molecules
4.
They have the same speed.
091
10.0points
Which of the two object shown below has the
greatest kinetic energy?
A
m
B
1
2
m
v
2
v
1.
Kinetic energies are the same.
2.
A
3.
B
4.
Unable to determine.
092
10.0points
An ideal spring obeys Hooke’s law,
vector
F
=
−
kvectorx
.
A mass of 0.50 kilogram hung vertically from
this spring stretches the spring 0.075 meter.
The acceleration of gravity is 10 m
/
s
2
.
The value of the force constant
k
for the
spring is most nearly
1.
k
= 0
.
33 N/m.
2.
k
= 0
.
66 N/m.
3.
k
= 33 N/m.
4.
k
= 66 N/m.
5.
k
= 6
.
6 N/m.
093
10.0points
A car is lifted a vertical distance in a service
station and therefore has potential energy rel-
ative to the floor.
If it were lifted twice as high, how much
potential energy would it have?
1.
Unable to determine
2.
Twice as much
3.
One half as much
4.
The same
094
10.0points
When an object is moved from rest at point
A
to rest at point
B
in a gravitational field,
the net work done by the field depends on the
mass of the object and
1.
the path taken between
A
and
B
only.
2.
the nature of the external force moving
the object from
A
to
B
.
3.
the positions of
A
and
B
only.
4.
both the positions of
A
and
B
and the
path taken between them.
5.
the velocity of the object as it moves
between
A
and
B
.
095
10.0points
When a block slides a certain distance down
an incline, the work done by gravity is 300 J.
What is the work done by gravity if this
block slides the same distance up the incline?
1.
It cannot be determined without knowing
the distance the block slides.
2.
W
= 300 J
3.
W
=
−
300 J
4.
It cannot be determined without knowing
the coefficient of friction.
5.
W
= 0 J
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
27
096
10.0points
A small mass is released from rest at a very
great distance from a much larger stationary
mass.
Which of the following graphs best repre-
sents the gravitational potential energy
U
of
the system of masses as a function of
t
?
1.
None of these graphs is correct.
2.
t
U
3.
t
U
4.
t
U
5.
t
U
6.
t
U
7.
t
U
097
10.0points
In part (a) of the figure, an air track cart
attached to a spring rests on the track at the
position
x
eq
and the spring is relaxed.
x
st
x
eq
m
v
(a)
m
x
v
⊃
= 0
µ
= 0
(b)
In (b), the cart is pulled to the position
x
st
and released. It then oscillates about
x
eq
.
Which graph correctly represents the po-
tential energy of the spring as a function of
the position of the cart?
1.
U
x
st
x
st
x
eq
2.
U
x
st
x
st
x
eq
3.
U
x
st
x
st
x
eq
4.
U
x
st
x
st
x
eq
5.
U
x
st
x
st
x
eq
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
28
6.
U
x
st
x
st
x
eq
7.
U
x
st
x
st
x
eq
8.
U
x
st
x
st
x
eq
098
10.0points
A student weighing 700 N climbs at constant
speed to the top of an 8 m vertical rope in 10
s.
The average power expended by the student
to overcome gravity is most nearly
1.
P
= 560 W.
2.
P
= 87
.
5 W.
3.
P
= 5
,
600 W.
4.
P
= 1
.
1 W.
5.
P
= 875 W.
099
10.0points
Units of power include which of the following?
I) Watt
II) Joule per second
III) Kilowatt-hour
1.
II and III only
2.
I and II only
3.
III only
4.
I only
5.
I, II and III
100
10.0points
During a certain time interval, a constant
force delivers an average power of 4 watts to
an object.
If the object has an average speed of 2
meters per second and the force acts in the
direction of motion of the object, what is the
magnitude of the force
vector
F
?
1.
bardbl
vector
F
bardbl
= 6 N
2.
bardbl
vector
F
bardbl
= 16 N
3.
bardbl
vector
F
bardbl
= 2 N
4.
bardbl
vector
F
bardbl
= 8 N
5.
bardbl
vector
F
bardbl
= 4 N
101
10.0points
A block of mass
m
slides on a horizontal
frictionless table with an initial speed
v
0
.
It
then compresses a spring of force constant
k
and is brought to rest.
v
m
k
m
µ
= 0
How much is the spring compressed
x
from
its natural length?
1.
x
=
v
0
radicalbigg
k
m
2.
x
=
v
0
radicalbigg
m
k
3.
x
=
v
0
k
g m
4.
x
=
v
0
radicalBigg
k
m g
5.
x
=
v
0
m k
g
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
29
6.
x
=
v
0
m g
k
7.
x
=
v
2
0
2
g
8.
x
=
v
2
0
2
m
9.
x
=
v
0
m
k g
10.
x
=
v
0
radicalbigg
m g
k
102(part1of3)10.0points
A ball is thrown and follows the parabolic
path shown. Point
Q
is the highest point on
the path and points
P
and
R
are the same
height above the ground.
Q
R
P
How do the speeds of the ball at the three
points compare? Air friction is negligible.
1.
bardbl
vectorv
Q
bardbl
<
bardbl
vectorv
R
bardbl
<
bardbl
vectorv
P
bardbl
2.
bardbl
vectorv
P
bardbl
<
bardbl
vectorv
Q
bardbl
<
bardbl
vectorv
R
bardbl
3.
bardbl
vectorv
P
bardbl
=
bardbl
vectorv
R
bardbl
<
bardbl
vectorv
Q
bardbl
4.
bardbl
vectorv
Q
bardbl
<
bardbl
vectorv
P
bardbl
=
bardbl
vectorv
R
bardbl
5.
bardbl
vectorv
R
bardbl
<
bardbl
vectorv
Q
bardbl
<
bardbl
vectorv
P
bardbl
103(part2of3)10.0points
Which diagram best indicates the direction of
the acceleration, if any, on the ball at point
R
?
1.
2.
3.
4.
5.
6.
7.
8.
9.
The ball is in free fall and there is no
acceleration at any point on its path.
104(part3of3)10.0points
Which diagram best indicates the direction of
the net force, if any, on the ball at point
Q
?
1.
2.
3.
The ball is in free-fall and there is no
acceleration at any point on its path.
4.
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
30
5.
6.
7.
8.
9.
105
10.0points
The velocity of a projectile at launch has a
horizontal component
v
h
and a vertical com-
ponent
v
v
. When the projectile is at the high-
est point of its trajectory, identify the vertical
and the horizontal components of its velocity
and the vertical component of its acceleration.
Consider air resistance to be negligible.
Vertical
Horizontal
Vertical
Velocity
Velocity
Acceleration
1.
0
0
g
2.
0
v
h
g
3.
v
v
v
h
0
4.
v
v
0
0
5.
0
v
h
0
106
10.0points
A bowling ball accidentally falls out of the
cargo bay of an airliner as it flies along in a
horizontal direction.
Y
X
W
U
V
Z
As observed by a person standing on the
ground and viewing the plane as in the fig-
ure, which path would the bowling ball most
closely follow after leaving the airplane?
1.
X
2.
V
3.
W
4.
U
5.
Y
6.
Z
107
10.0points
v
y
t
Q
M
Z
D
J
W
S
Which of the curves on the graph above
best represents the
y
-component(vertical) of
velocity
v
y
versus
t
for a projectile fired at an
angle of 55
◦
above the horizontal?
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
31
1.
ZS
2.
QJ
3.
MW
4.
QS
5.
QD
108
10.0points
If you are standing in a bus that moves at
constant velocity and drop a ball from your
outstretched hand, you will see its path as a
vertical straight line.
How will the path appear to a friend stand-
ing at the side of the road?
1.
The path is a straight line orientated
vertically.
2.
The path curves downward.
3.
The path is a straight line slanted down.
4.
The path curves upward.
109
10.0points
Salmon often jump waterfalls to reach their
breeding grounds.
Starting downstream, 2
.
98 m away from a
waterfall 0
.
487 m in height, at what minimum
speed must a salmon jumping at an angle of
33
.
1
◦
leave the water to continue upstream?
The acceleration due to gravity is 9
.
81 m
/
s
2
.
Answer in units of m
/
s.
110
10.0points
In a scene in an action movie, a stunt man
jumps from the top of one building to the
top of another building 3.7 m away. After a
running start, he leaps at an angle of 16
◦
with
respect to the flat roof while traveling at a
speed of 5.9 m/s.
The acceleration of gravity is 9
.
81 m
/
s
2
.
To determine if he will make it to the other
roof, which is 2.9 m shorter than the build-
ing from which he jumps, find his vertical
displacement upon reaching the front edge of
the lower building with respect to the taller
building.
Answer in units of m.
111(part1of3)10.0points
A boy is standing on a cliff.
The boy’s
hands are a height
b
above the ground level at
the base of the cliff.
A monkey is in a tree.
The monkey is at a height
h
above the boy’s
hands.
At
t
= 0 the boy throws a coconut
upward at a speed
v
0
, and at the same time
the monkey releases his grip, falling downward
to catch the coconut.
Assume the initial speed of the monkey is 0
m/s, and the cliff is high enough so that the
monkey is able to catch the coconut before
hitting the ground.
The acceleration of gravity is 10 m
/
s
2
.
b
h
A
ground level
B
hand height
C
monkey height
v
0
Figure: Consideronlyverticalmotion.
How long
t
does it take for the monkey to
reach the coconut?
1.
t
=
h
v
0
2.
t
=
v
0
2
g
3.
t
=
2
h
v
0
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vijayaraghavan (vv8837) – AP MC Practice Problems – crane – (23242)
32
4.
t
=
2
v
0
g
5.
t
=
v
0
2
g
+
h
2
v
0
6.
t
=
v
0
g
7.
t
=
radicalBigg
2
h
g
+
v
0
g
8.
t
=
h
2
v
0
9.
t
=
radicalBigg
2
h
g
+
h
2
v
0
10.
t
=
radicalBigg
2
h
g
112(part2of3)10.0points
Suppose it takes 2 s for the monkey to catch
the coconut and the initial upward speed of
the coconut is 5 m
/
s
.
Let the
y
coordinate
of the ground, the boy, and the monkey be,
respectively,
y
A
=
−
b , y
B
= 0
,
and
y
C
=
h .
What is the
y
coordinate of the location
where the monkey catches the coconut?
1.
y
=
−
20 m
2.
y
= 0 m
3.
y
=
−
10 m
4.
y
= +15 m
5.
y
= +9 m
6.
y
= +5 m
7.
y
= +10 m
8.
y
=
−
5 m
9.
y
= +2 m
10.
y
= +8 m
113(part3of3)10.0points
Caution:
Let upward motion be associated
with positive velocity.
Using the same numerical values as part
2, what is the velocity
v
of the coconut just
before the monkey catches the coconut?
1.
v
= +15 m
/
s
2.
v
= +10 m
/
s
3.
v
= +20 m
/
s
4.
v
=
−
20 m
/
s
5.
v
= +5 m
/
s
6.
v
=
−
15 m
/
s
7.
v
= +0 m
/
s
8.
v
=
−
5 m
/
s
9.
v
= +25 m
/
s
10.
v
=
−
10 m
/
s
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