Physics 9th Edition Cutnell - Test Bank
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Sample Test
Import Settings:
Base Settings: Brownstone Default
Information Field: Difficulty
Information Field: SectionDef
Highest Answer Letter: E
Multiple Keywords in Same Paragraph: No
Chapter: Chapter 3
Multiple Choice
1. A
park ranger wanted to measure the height of a tall tree. The ranger stood 9.50
m from the base of the tree; and he observed that his line of sight made an
angle of 65.2° above the horizontal as he looked at the top of the tree.
The park ranger’s eyes are 1.80 m above the ground. What is the height of
the tree?
2. A) 84
m
3. B) 77
m
4. C) 7
m
5. D) 3
m
6. E) 4
m
Ans: E
Difficulty: Easy
SectionDef: Section 3-1
2. A
toolbox is carried from the base of a ladder at point A as shown in the figure.
The toolbox comes to a rest on a scaffold 5.0 m above the ground. What is
the magnitude of the displacement of the toolbox in its movement from point A
to point B?
3. A) 15
m
4. B) 19
m
5. C) 1
m
6. D) 11
m
7. E) 13
m
Ans: E
Difficulty: Easy
SectionDef: Section 3-1
3. A
delivery truck leaves a warehouse and travels 2.60 km north. The truck makes a
left turn and travels 1.25 km west before making another right turn to
travel 1.40 km north to arrive at its destination. What is the magnitude
and direction of the truck’s displacement from the warehouse?
4. A) 00
km, 18.2° north of west
5. B)
5.25 km, 59.8° north of west
6. C)
6.33 km, 70.2° north of west
7. D)
3.40 km, 55.0° north of west
8. E) 19
km, 72.6° north of west
Ans: E
Difficulty: Medium
SectionDef: Section 3-1
4. A car
travels due east at 22 m/s. It makes a turn due south and continues to travel
at 22 m/s.
What is the change in velocity of the car?
1. A) 22
m/s, due east
2. B) 22
m/s, due south
3. C) 31
m/s, 45° south of west
4. D) 31
m/s, 45° south of east
5. E)
zero m/s
Ans: C
Difficulty: Medium
SectionDef: Section 3-1
5. A
train travels due south at 60 m/s. It reverses its direction and travels due
north at 60 m/s.
What is the change in velocity of the train?
1. A)
120 m/s, due north
2. B) 120
m/s, due south
3. C) 60
m/s, due north
4. D) 60
m/s, due south
5. E)
zero m/s
Ans: A
Difficulty: Medium
SectionDef: Section 3-1
6. A car
travels along a highway with a velocity of 24 m/s, west. The car exits the
highway; and 4.0 s later, its instantaneous velocity is 16 m/s, 45° north of
west. What is the magnitude of the average acceleration of the car during
the four-second interval?
7. A) 4
m/s2
8. B) 5
m/s2
9. C) 2
m/s2
10. D) 11
m/s2
11. E) 17
m/s2
Ans: B
Difficulty: Hard
SectionDef: Section 3-1
7. A GPS
tracking device is placed in a police dog to monitor its whereabouts relative
to the police station. At time t1 =
23 min, the dog’s displacement from the station is 1.2 km, 33° north of
east. At time t2 =
57 min, the dog’s displacement from the station is 2.0 km, 75° north of east.
Find the magnitude and direction of the dog’s average velocity between
these two times.
8. A) 52
m/s, 88° north of east
9. B) 4
m/s, 31° west of north
10. C) 6
m/s, 42° north of east
11. D) 67
m/s, 21° west of north
12. E) 80
m/s, 42° west of north
Ans: D
Difficulty: Hard
SectionDef: Section 3-1
Reference: Ref 3-1
During a one-hour trip, a small boat travels 80.0 km north and
then travels 60.0 km east.
8. What
is the boat’s displacement for the one-hour trip?
9. A) 20
km
10. B)
100 km
11. C)
140 km
12. D)
280 km
13. E) 10
000 km
Ans: B
Refer To: Ref 3-1
Difficulty: Easy
SectionDef: Section 3-1
9. What
is the boat’s average speed during the one-hour trip?
10. A) 20
km/h
11. B)
100 km/h
12. C)
140 km/h
13. D)
280 km/h
14. E) 10
000 km/h
Ans: C
Refer To: Ref 3-1
Difficulty: Medium
SectionDef: Section 3-1
10. What
is the magnitude of the boat’s average velocity for the one-hour trip?
11. A) 20
km/h
12. B)
100 km/h
13. C)
140 km/h
14. D) 10
000 km/h
15. E) 20
000 km/h
Ans: B
Refer To: Ref 3-1
Difficulty: Medium
SectionDef: Section 3-1
11. What
is the direction of the boat’s average velocity for the one-hour trip?
12. A)
due east
13. B) 9°
north of east
14. C) 7°
north of east
15. D) 2°
north of east
16. E) 1°
north of east
Ans: E
Refer To: Ref 3-1
Difficulty: Medium
SectionDef: Section 3-1
12. An
eagle is flying due east at 8.9 m/s carrying a gopher in its talons. The gopher
manages to break free at a height of 12 m. What is the magnitude of the
gopher’s velocity as it reaches the ground? Note: effects of air
resistance are not included in this calculation.
13. A) 22
m/s
14. B) 18
m/s
15. C) 11
m/s
16. D) 8
m/s
17. E) 9
m/s
Ans: B
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
13. At
time t =
0 s, a puck is sliding on a horizontal table with a velocity 3.60 m/s, 35.0°
above the +x axis.
As the puck slides, a constant acceleration acts on it that has the following
components: ax =
–0.360 m/s2 and ay =
–0.980 m/s2. What is the velocity of the puck at time t = 1.50 s?
14. A) 83
m/s, 12.0° above the +x axis
15. B) 04
m/s, 21.2° above the +x axis
16. C) 06
m/s, 11.7° above the +x axis
17. D) 48
m/s, 13.9° above the +x axis
18. E) 38
m/s, 15.2° above the +x axis
Ans: D
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
14. An
airplane traveling north at 400 m/s is accelerated due east at a rate of 50 m/s2 for
6 s. If the effects of air resistance and gravity
are ignored, what is the final speed of the plane?
15. A)
300 m/s
16. B)
400 m/s
17. C)
500 m/s
18. D)
700 m/s
19. E)
800 m/s
Ans: C
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-2
A spaceship is observed traveling in the positive x direction with a
speed of 150 m/s when it begins accelerating at a constant rate. The
spaceship is observed 25 s later traveling with an instantaneous velocity of
1500 m/s at an angle of 55° above the +x axis.
15. What
was the magnitude of the acceleration of the spaceship during the 25 seconds?
16. A) 5
m/s2
17. B) 3
m/s2
18. C) 28
m/s2
19. D) 48
m/s2
20. E) 57
m/s2
Ans: E
Refer To: Ref 3-2
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
16. What
was the magnitude of the displacement of the spaceship during the 25 seconds?
17. A) 0
× 104 m
18. B) 4
× 104 m
19. C) 8
× 104 m
20. D) 0
× 104 m
21. E) 7
× 102 m
Ans: A
Refer To: Ref 3-2
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
17. A
football is kicked at an angle q with
respect to the horizontal. Which one of the following statements best describes
the acceleration of
the football during this event if air resistance is neglected?
18. A)
The acceleration is zero m/s2 at
all times.
19. B)
The acceleration is 9.8 m/s2 at all times.
20. C)
The acceleration is zero m/s2 when
the football has reached the highest point in its trajectory.
21. D)
The acceleration is positive as the football rises, and it is negative as the
football falls.
22. E)
The acceleration starts at 9.8 m/s2 and
drops to some constant lower value as the ball approaches the ground.
Ans: B
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
18. A
baseball is hit upward and travels along a parabolic arc before it strikes the
ground. Which one of the following statements is necessarily true?
19. A)
The acceleration of the ball decreases as the ball moves upward.
20. B)
The velocity of the ball is zero m/s when the ball is at the highest point in
the arc.
21. C)
The acceleration of the ball is zero m/s2 when
the ball is at the highest point in the arc.
22. D)
The x-component
of the velocity of the ball is the same throughout the ball’s flight.
23. E)
The velocity of the ball is a maximum when the ball is at the highest point in
the arc.
Ans: D
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
19. A
physics student standing on the edge of a cliff throws a stone vertically downward with an
initial speed of 10.0 m/s. The instant before the stone hits the ground below,
it is traveling at a speed of 30.0 m/s. If the physics student were to
throw the rock horizontally
outward from the cliff instead, with the same initial speed of
10.0 m/s, what is the magnitude of the velocity of the stone just before it
hits the ground?
20. A) 0
m/s
21. B) 0
m/s
22. C) 0
m/s
23. D) 0
m/s
24. E)
The height of the cliff must be specified to answer this question.
Ans: C
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
20. A
tennis ball is thrown from ground level with velocity directed 30° above the
horizontal. If it takes the ball 0.5 s to reach the top of its
trajectory, what is the magnitude of the initial velocity?
21. A) 9
m/s
22. B) 8
m/s
23. C) 3
m/s
24. D) 6
m/s
25. E) 4
m/s
Ans: A
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-3
A projectile is fired at an angle of 55.0° above the horizontal
with an initial speed of 35.0 m/s.
21. What
is the magnitude of the horizontal component
of the projectile’s displacement at the end of 2 s?
22. A) 30
m
23. B) 40
m
24. C) 10
m
25. D) 20
m
26. E) 50
m
Ans: B
Refer To: Ref 3-3
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
22. How
long does it take the projectile to reach the highest point in its trajectory?
23. A) 5
s
24. B) 4
s
25. C) 0
s
26. D) 2
s
27. E) 8
s
Ans: B
Refer To: Ref 3-3
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-4
A projectile fired from a gun has initial horizontal and
vertical components of velocity equal to 30 m/s and 40 m/s, respectively.
23. Determine
the initial speed of the projectile.
24. A) 40
m/s
25. B) 50
m/s
26. C) 60
m/s
27. D) 70
m/s
28. E) 80
m/s
Ans: B
Refer To: Ref 3-4
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
24. At what
angle is the projectile fired (measured with respect to the horizontal)?
25. A)
37°
26. B)
40°
27. C)
45°
28. D)
53°
29. E)
60°
Ans: D
Refer To: Ref 3-4
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
25. Approximately how
long does it take the projectile to reach the highest point in its trajectory?
26. A) 1
s
27. B) 2
s
28. C) 4
s
29. D) 8
s
30. E) 16
s
Ans: C
Refer To: Ref 3-4
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
26. What
is the speed of the projectile when it is at the highest point in its
trajectory?
27. A) 0
m/s
28. B) 20
m/s
29. C) 30
m/s
30. D) 40
m/s
31. E) 50
m/s
Ans: C
Refer To: Ref 3-4
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
27. What
is the acceleration of the projectile when it reaches its maximum height?
28. A)
zero m/s2
29. B) 8
m/s2, downward
30. C) 9
m/s2, downward
31. D)
less than 9.8 m/s2 and non-zero.
32. E)
Its magnitude is 9.8 m/s2; and its direction is
changing.
Ans: B
Refer To: Ref 3-4
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
28. What
is the magnitude of the projectile’s velocity just before it strikes the
ground?
29. A)
zero m/s
30. B) 8
m/s
31. C) 30
m/s
32. D) 40
m/s
33. E) 50
m/s
Ans: E
Refer To: Ref 3-4
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
29. A
quarterback throws a pass at an angle of 35° above the horizontal with an
initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds
later. Determine the distance the ball was thrown.
30. A) 13
m
31. B) 18
m
32. C) 36
m
33. D) 52
m
34. E) 72
m
Ans: D
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
30. A
projectile is fired horizontally with an initial speed of 57 m/s. What are the
horizontal and vertical components of its displacement 3.0 s after it is fired?
horizontal vertical
1. A) 44
m –29 m
2. B) 170
m zero m
3. C)
170 m –44 m
4. D)
210 m –44 m
5. E)
210 m zero m
Ans: C
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
31. A
spring-loaded gun is aimed horizontally and is used to launch identical balls
with different
initial speeds. The gun is at a fixed position above the
floor. The balls are fired one at a time.
If the speed of the second ball fired is twice the speed of the
first ball fired, how is the
horizontal range (denoted R in the figure) affected?
1. A)
The range for both balls will be the same.
2. B)
The range of the second ball will be half as much as that of the first ball.
3. C)
The range of the second ball will be twice as large as that of the first ball.
4. D)
The range of the second ball is about 1.4 times larger than that of the first
ball.
5. E)
The range of the second ball will be smaller than that of the first ball by a
factor of 1.4.
Ans: C
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-5
A shell is fired with a horizontal velocity in the positive x
direction from the top of an 80-m high cliff. The shell strikes the
ground 1330 m from the base of the cliff. The drawing is not to scale.
32. Determine
the initial speed of the shell.
33. A) 0
m/s
34. B) 8
m/s
35. C) 82
m/s
36. D)
170 m/s
37. E)
330 m/s
Ans: E
Refer To: Ref 3-5
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
33. What
is the magnitude of the velocity of the shell as it hits the ground?
34. A) 0
m/s
35. B) 8
m/s
36. C) 82
m/s
37. D)
170 m/s
38. E)
330 m/s
Ans: E
Refer To: Ref 3-5
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
34. What
is the magnitude of the acceleration of the shell just before it strikes the
ground?
35. A) 0
m/s2
36. B) 8
m/s2
37. C) 82
m/s2
38. D)
170 m/s2
39. E)
330 m/s2
Ans: B
Refer To: Ref 3-5
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
35. An
arrow is shot horizontally from a height of 4.9 m above the ground. The initial
speed of the arrow is 45 m/s. Neglecting friction, how long will it take
the arrow to hit the ground?
36. A) 2
s
37. B) 0
s
38. C) 0
s
39. D) 4
s
40. E) 6
s
Ans: C
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
36. A
cannonball at ground level is aimed 30.0° above the horizontal and is fired
with an initial speed of 125 m/s. How far away from the cannon will the
cannonball hit the ground?
37. A)
125 m
38. B)
138 m
39. C)
695 m
40. D)
1040 m
41. E)
1380 m
Ans: E
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
37. A
basketball is launched with an initial speed of 8.0 m/s and follows the trajectory
shown. The ball enters the basket 0.96 s after it is launched. What are
the distances x and y? Note: The drawing is not to scale.
x
y
5. A) 4
m 0.73 m
6. B) 7
m 0.91 m
7. C) 4
m 0.91 m
8. D) 7
m 0.73 m
9. E) 4
m 5.4 m
Ans: C
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
38. A
puck slides across a smooth, level tabletop at height H at a constant
speed vo. It
slides off the edge of the table and hits the floor a distance x away as shown in
the figure.
What is the relationship between the distances x and H?
1. A)
2. B)
3. C)
4. D)
5. E)
Ans: A
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
39. A
bullet is aimed at a target on the wall a distance L away from the
firing position. Because of gravity, the bullet strikes the wall a distance Dy below the mark as
suggested in the figure.
Note: The
drawing is not to scale.
If the distance L was
half as large and the bullet had the same initial velocity, how would Dy be affected?
1. A) Dy will double.
2. B) Dy will be half as
large.
3. C) Dy will be four
times larger.
4. D) Dy
will be one fourth as large.
5. E) Dy is not possible
to determine unless numerical values are given for the distances.
Ans: D
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-6
A tennis ball is thrown upward at an angle from point A. It follows a
parabolic trajectory and hits the ground at point D. At the instant
shown, the ball is at point B.
Point C represents
the highest position of the ball above the ground.
40. While
in flight, how do the x and y components of the
velocity vector of the ball compare at the points B and C?
41. A)
The velocity components are non-zero at B and
zero at C.
42. B)
The x components
are the same; the y component
at C is
zero m/s.
43. C)
The x components
are the same; the y component
has a larger magnitude at C than
at B.
44. D)
The x component is larger at C than at B; the y component at B points up while
at C, it points downward.
45. E)
The x component
is larger at B than
at C;
the y component
at B points
down while at C,
it points upward.
Ans: B
Refer To: Ref 3-6
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
41. While
in flight, how do the x and y components of the
velocity vector of the ball compare at the points A and D?
42. A)
The velocity components are non-zero at A and
are zero m/s at D.
43. B)
The velocity components are the same in magnitude and direction at both points.
44. C)
The velocity components have the same magnitudes at both points, but their
directions are reversed.
45. D)
The velocity components have the same magnitudes at both points, but the
directions of the x components
are reversed.
46. E)
The velocity components have the same magnitudes at both points, but the
directions of the y components
are reversed.
Ans: E
Refer To: Ref 3-6
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
42. Which
statement is true concerning the ball when it is at C, the highest
point in its trajectory?
43. A)
The ball’s velocity and acceleration are both zero.
44. B) The
ball’s velocity is perpendicular to its acceleration.
45. C)
The ball’s velocity is not zero, but its acceleration is zero.
46. D)
The ball’s velocity is zero, but its acceleration is not zero.
47. E)
The horizontal and vertical components of the ball’s velocity are equal.
Ans: B
Refer To: Ref 3-6
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
43. At
which point is the velocity vector changing most rapidly with time?
44. A) A
45. B) B
46. C) C
47. D) D
48. E) It
is changing at the same rate at all four points.
Ans: E
Refer To: Ref 3-6
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-7
A football is kicked with a speed of 18 m/s at an angle of 65°
to the horizontal.
44. What
are the respective horizontal and vertical components
of the initial velocity of the football?
45. A) 6
m/s, 16 m/s
46. B) 16
m/s, 7.6 m/s
47. C) 4
m/s, 13 m/s
48. D) 13
m/s, 8.4 m/s
49. E) 9
m/s, 9 m/s
Ans: A
Refer To: Ref 3-7
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
45. How
long is the football in the air? Neglect air resistance.
46. A) 1
s
47. B) 6
s
48. C) 0
s
49. D) 3
s
50. E) 0
s
Ans: D
Refer To: Ref 3-7
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
46. How
far does the football travel horizontally before
it hits the ground?
47. A) 18
m
48. B) 25
m
49. C) 36
m
50. D) 48
m
51. E) 72
m
Ans: B
Refer To: Ref 3-7
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-8
A rock is kicked horizontally at
a speed of 15 m/s from the edge of a cliff. The rock strikes the ground
65 m from the foot of the cliff of height H as suggested in the figure, which is
not drawn to scale. Neglect air resistance.
47. How
long is the rock in the air?
48. A) 0
s
49. B) 2
s
50. C)
4.0 s
51. D) 5
s
52. E) 2
s
Ans: C
Refer To: Ref 3-8
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
48. What
is the approximate value of H,
the height of the cliff?
49. A) 27
m
50. B) 54
m
51. C) 78
m
52. D)
150m
53. E)
300 m
Ans: C
Refer To: Ref 3-8
Difficulty: Hard
SectionDef: Section 3-2 and Section 3-3
Reference: Ref 3-9
A projectile is fired horizontally with an initial speed of 50.0
m/s. Neglect air resistance.
49. What
is the magnitude of the displacement of the projectile 3.00 s after it is
fired?
50. A) 4
m
51. B) 1
m
52. C)
150 m
53. D)
156 m
54. E)
194 m
Ans: D
Refer To: Ref 3-9
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
50. What
is the speed of the projectile 3.00 s after it is fired?
51. A) 4
m/s
52. B) 0
m/s
53. C) 0
m/s
54. D) 4
m/s
55. E) 6
m/s
Ans: C
Refer To: Ref 3-9
Difficulty: Medium
SectionDef: Section 3-2 and Section 3-3
51. What
is the magnitude of the acceleration of the projectile 3.00 s after it is
fired?
52. A) 8
m/s2
53. B) 6
m/s2
54. C) 4
m/s2
55. D) 42
m/s2
56. E)
zero m/s2
Ans: A
Refer To: Ref 3-9
Difficulty: Easy
SectionDef: Section 3-2 and Section 3-3
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