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AP Physics C Mechanics Practice Tests

AP Physics C Mechanics Practice Tests
AP Physics C Mechanics Practice Tests

The questions contained in this AP ? Physics C: Mechanics Practice Exam are written to the content specifications of AP Exams for this subject. Taking this practice exam should provide students with an idea of their general areas of strengths and weaknesses in preparing for the actual AP Exam. Because this AP Physics C: Mechanics Practice Exam has never been administered as an operational AP Exam, statistical data are not available for calculating potential raw scores or conversions into AP grades.This AP Physics C: Mechanics Practice Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a class-room setting only. To maintain the security of this exam, teachers should collect all materials after their administration and keep them in a secure location. Teachers may not redistribute the files electronically for any reason.

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Practice Exam

Advanced Placement Program

AP ?

Physics C: Mechanics

Contents

Directions for Administration (ii)

Section I: Multiple-Choice Questions (1)

Section II: Free-Response Questions (14)

Student Answer Sheet for Multiple-Choice Section (22)

Multiple-Choice Answer Key (23)

Free-Response Scoring Guidelines (24)

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AP? Physics C: Mechanics

Directions for Administration

The AP Physics C: Mechanics Exam is one and one-half hours in length and consists of a multiple-choice section and a free-response section.

?The 45-minute multiple-choice section contains 35 questions and accounts for 50 percent of the final grade.

?The 45-minute free-response section contains 3 questions and accounts for 50 percent of the final grade.

Students should be given a 10-minute warning prior to the end of each section of the exam. A 10-minute break should be provided after Mechanics is completed if students are taking Physics C: Electricity and Magnetism immediately after Mechanics.

The actual AP Physics C Exams are administered in one session, Mechanics first followed by Electricity and Magnetism. Students taking only one of the exams will have the most realistic experience if both sections are completed in one session. Similarly, students taking both Physics C exams will have the most realistic experience if both exams are completed in one session and a complete morning or afternoon is available to administer them. If a schedule does not permit one time period for administration, it would be acceptable to administer Mechanics on one day and Electricity and Magnetism on a subsequent day, or to further break things up and administer Section I and Section II of each exam on subsequent days.

Many students wonder whether or not to guess the answers to the multiple-choice questions about which they are not certain. It is improbable that mere guessing will improve a score. However, if a student has some knowledge of the question and is able to eliminate one or more answer choices as wrong, it may be to the student’s advantage to answer such a question.

?The use of calculators is permitted only on Section II. Straightedges or rulers are allowed on both parts of the exam.

?It is suggested that the practice exam be completed using a pencil to simulate an actual administration.

?Teachers will need to provide paper for the students to write their free-response answers. Teachers should provide directions to the students indicating how they wish the responses to be labeled so the teacher will be able to associate the student’s response with the question the student intended to answer.

?The 2008–2009 AP Physics C table of information is included as a part of Section I. The table and the AP Physics C equation lists are included with Section II. The equation lists are not allowed for Section I. If you use these exams in subsequent years you should download the newer versions of the table and lists from AP Central.

?Remember that students are not allowed to remove any materials, including scratch work, from the testing site.

Section I

Multiple-Choice Questions

meter, m mole, mol watt, W farad, F kilogram, kg hertz, Hz coulomb, C tesla, T second, s newton, N volt, V degree Celsius, C ∞

ampere, A pascal, Pa ohm, W

electron-volt, eV UNIT

SYMBOLS

kelvin, K joule, J henry,

H

PREFIXES

Factor Prefix Symbol

910 giga G 610 mega M 310

kilo k

210- centi c 310-

milli m 610- micro m

910-

nano n 1210-

pico p

The following conventions are used in this exam.

I. Unless otherwise stated, the frame of reference of any problem is

assumed to be inertial. II. The direction of any electric current is the direction of flow of positive

charge (conventional current).

III. For any isolated electric charge, the electric potential is defined as zero at

an infinite distance from the charge.

PHYSICS C: MECHANICS

SECTION I Time—45 minutes 35 Questions

Directions: Each of the questions or incomplete statements below is followed by five suggested answers or

completions. Select the one that is best in each case and place the letter of your choice in the corresponding box on the student answer sheet.

Note: To simplify calculations, you may use 210m/s g = in all problems.

1. Which of the following graphs of position d versus time t corresponds to motion of an object in a straight line with positive acceleration?

(A)

(B)

(C)

(D)

(E)

2. A ball is thrown straight up from a point 2 m

above the ground. The ball reaches a maximum height of 3 m above its starting point and then

falls 5 m to the ground. When the ball strikes the

ground, what is its displacement from its starting

point?

(A) Zero

(B) 8 m below (C) 5 m below (D) 2 m below (E) 3 m above

3. What do acceleration and velocity have in

common?

(A) Both are scalars. (B) Both are vectors.

(C) Both are measured in units of distance

divided by time.

(D) Both are measured in units of distance

divided by time squared.

(E) They are different names for the same

quantity.

4. Two projectiles are launched with the same initial

speed from the same location, one at a 30∞ angle and the other at a 60∞ angle with the horizontal. They land at the same height at which they were launched. If air resistance is negligible, how do the projectiles’ respective maximum heights, 30H

and 60H , and times in the air, 30T and 60T , compare with each other?

Maximum Height Time in Air (A) 3060H H > 3060T T > (B) 3060H H > 3060T T < (C) 3060H H =

3060T T =

(D) 3060H H < 3060T T > (E)

3060H H <

3060T T <

5. An object of mass 100 kg is initially at rest on a

horizontal frictionless surface. At time t = 0, a

horizontal force of 10 N is applied to the object

for 1 s and then removed. Which of the following is true of the object at time t = 2 s if it is still on

the surface?

(A) It is at the same position it had at t = 0, since

a force of 10 N is not large enough to move

such a massive object.

(B) It is moving with constant nonzero

acceleration.

(C) It is moving with decreasing acceleration.

(D) It is moving at a constant speed.

(E) It has come to rest some distance away from

the position it had at t = 0.

6. Several forces act on an object, but the object is in

equilibrium. Which of the following statements

about the object must be true?

I.It has zero acceleration.

II.The net force acting on it is zero.

III.It is at rest.

IV.It is moving with constant velocity.

(A) I and II

(B) I and III

(C) I and IV

(D) II and III

(E) II and IV

Questions 7-8

A rock is thrown from the edge of a cliff with an initial velocity 0u at an angle q with the horizontal as shown above. Point P is the highest point in the rock’s trajectory and point Q is level with the starting point. Assume air resistance is negligible.

7. Which of the following correctly describes the

horizontal and vertical speeds and the acceleration of the rock at point P ?

Horizontal Vertical

Speed Speed Acceleration

(A) 0cos

u q0 g

(B) 0 0 g

(C) 0cos

u q 0 0

(D) 0cos

u q0sin

u q g

(E) 0 0cos

u q 0

8. Which of the following correctly describes the

horizontal and vertical speeds and the acceleration of the rock at point Q ?

Horizontal Vertical

Speed Speed Acceleration

(A) 0cos

u q0 g

(B) 0 0 g

(C) 0cos

u q 0 0

(D) 0cos

u q0sin

u q g

(E) 0 0cos

u q 0

9. As shown in the figure above, a child of mass

20 kg who is running at a speed of 4.0 m/s jumps

onto a stationary sled of mass 5.0 kg on a frozen

lake. The speed at which the child and sled begin to slide across the ice is most nearly

(A) 0.20 m/s

(B) 0.80 m/s

(C) 1.2 m/s

(D) 3.2 m/s

(E) 16 m/s

10. A toy spacecraft is launched directly upward.

When the toy reaches its highest point, a spring

is released and the toy splits into two parts with

masses of 0.02 kg and 0.08 kg, respectively.

Immediately after the separation, the 0.02 kg

part moves horizontally due east. Air resistance

is negligible. True statements about the 0.08 kg

part include which of the following?

I.It could move north immediately after the

spring is released.

II.It takes longer to reach the ground than does the 0.02 kg part.

III.It strikes the ground farther from the launch point than does the 0.02 kg part.

(A) None

(B) I only

(C) III only

(D) I and II only

(E) II and III only

11. A student initially stands on a circular platform

that is free to rotate without friction about its

center. The student jumps off tangentially, setting the platform spinning. Quantities that are

conserved for the student-platform system as the student jumps include which of the following?

I.Angular momentum

II.Linear momentum

III.Kinetic energy

(A) I only

(B) II only

(C) I and II only

(D) II and III only

(E) I, II, and III 12. In an experiment with a simple pendulum,

measurements of the period T of the pendulum

are made for different values of its length L.

When plotted on a graph, which of the following should result in a straight-line fit of the data?

(A) versus L

(B) T versus L

(C) T versus 2L

(D) 2T versus L

(E) 2T versus 2L

_________________________________________

13. A comet moves in the Sun’s gravitational field,

following the path shown above. What happens to its angular momentum as it moves from point X

to point Y ?

(A) It increases steadily.

(B) It remains constant.

(C) It decreases steadily.

(D) It increases as it approaches the Sun and

decreases as it moves away from the Sun.

(E) It decreases as it approaches the Sun and

increases as it moves away from the Sun.

14. Satellite X moves around Earth in a circular orbit

of radius R. Satellite Y is also in a circular orbit

around Earth, and it completes one orbit for every eight orbits completed by satellite X. What is the orbital radius of satellite Y ?

(A) 1 4 R

(B) 1 2 R

(C) 2R

(D) 4R

(E) 8R

15. A newly discovered planet is found to have twice

the radius and five times the mass of Earth. If the acceleration of gravity at the surface of Earth is g, the acceleration of gravity at the surface of the

new planet is

(A) 2 5 g

(B)

4g (C) g

(D) 5 4 g

(E) 5

2

g

Questions 16-17

A toy car of mass 6 kg, moving in a straight path,

experiences a net force given by the function F = ?3t.

At time t = 0, the car has a velocity of 4 m/s in the

positive direction and is located +8 m from the origin.

16. The car will come instantaneously to rest at time t

equal to

(A)

2s

3

(B) s

(C) s

(D) s

(E) 4

s

17. Which of the following best shows a graph of

position d versus time t for the car?

(A)

(B)

(C)

(D)

(E)

Questions 18-19

A block of mass 1M on a horizontal table is connected to a hanging block of mass 2M by a string that passes over a pulley, as shown above. The acceleration of the blocks is 0.6g . Assume that friction and the mass of the string are negligible.

18. The tension T in the string is

(A) zero (B) 0.4 2M g (C) 0.6 2M g (D) 1.0 2M g (E) 1.6 2M g

19. The ratio of masses 21M M is

(A) 0.67 (B) 1.0 (C) 1.4 (D) 1.5 (E) 1.6

Questions 20-21

In the system of two blocks and a spring shown above, blocks 1 and 2 are connected by a string that passes over a pulley. The initially unstretched spring connects block 1 to a rigid wall. Block 1 is released from rest, initially slides to the right, and is eventually brought to rest by the spring and by friction on the horizontal surface.

20. Which of the following is true of the energy of the

system during this process?

(A) The total mechanical energy of the system

is conserved.

(B) The total mechanical energy of the system

increases.

(C) The energy lost to friction is equal to the gain

in the potential energy of the spring.

(D) The potential energy lost by block 2 is less in

magnitude than the potential energy gained by the spring.

(E) The potential energy lost by block 2 is greater

in magnitude than the potential energy gained by the spring.

21. After block 1 comes to rest, the force exerted on it

by the spring must be equal in magnitude to

(A) zero

(B) the frictional force on block 1

(C) the vector sum of the forces on block 1 due to

friction and tension in the string

(D) the sum of the weights of the two blocks (E) the difference in the weights of the two

blocks

22. The graph above shows the force acting on an

object as a function of time. The change in

momentum of the object from time 0 to t is

(A) 2Ft

(B) Ft

(C) 1

2 Ft

(D) 1

4 Ft

(E) zero

Questions 23-24

A moon of mass m orbits a planet of mass 49m in an elliptical orbit as shown above. When the moon is at point A, its distance from the center of the planet is r A and its speed is 0u. When the moon is at point B, its speed is 0

5u.

23. When the moon is at point A, the distance from

the moon to the center of mass of the planet-moon system is most nearly

(A)

1

50A

r

(B)

1

A

r

(C)

1

2A

r

(D)

6

A

r

(E)

49

50A

r

24. When the moon is at point B, the distance from

the moon to the center of the planet is most nearly

(A)

1

25A

r

(B)

1

5A

r

(C) A r

(D) A r

(E) A r

Questions 25-26

The bar shown above is pivoted about one end and is initially at rest in a vertical position. The bar is displaced slightly and as it falls it makes an angle q with the vertical at any given time, as shown above.

25. Which of the following graphs best represents the

bar’s angular acceleration a as a function of

angle q ?

(A)

(B)

(C)

(D)

(E)

26. Which of the following graphs best represents the bar’s angular velocity w as a function of time?

(A)

(B)

(C)

(D)

(E)

27. A stone falls from rest from the top of a building

as shown above. Which of the following graphs best represents the stone’s angular momentum L about the point P as a function of time?

(A)

(B)

(C)

(D)

(E)

x (m) F (N)

0 0

1 1

2 8

3 27

4 64

28. A specially designed spring is stretched from

equilibrium to the distances x given in the table

above, and the restoring force F is measured

and recorded in each case. What is the potential

energy of the spring when it is stretched 3 m from equilibrium?

(A)

9

J

2

(B) 9 J

(C)

81

J

4

(D) 27 J

(E)

81

J

2

29. An object on the end of a spring with spring

constant k moves in simple harmonic motion

with amplitude A and frequency f. Which of the

following is a possible expression for the kinetic

energy of the object as a function of time t ?

(A) ()

22

sin2

kA ft

p

(B) ()

22

1

cos2

2

kA ft

p

(C) ()

1

sin2

2

kA ft

p

(D) ()

cos2

kA ft

p

(E) ()

sin2cos2

kA ft ft

p p

+

30. When a certain spring is stretched by an

amount x , it produces a restoring force of ()2,=-+F x ax bx where a and b are constants. How much work is done by an external force in stretching the spring by an amount D from its equilibrium length? (A) 2aD bD -+ (B) 2a bD - (C)

231123

-aD bD (D) 23-+aD bD (E) 2

3

23-+aD bD

Questions 31-32 refer to the following.

A uniform ladder of weight W leans without slipping against a wall making an angle q with a floor as

shown above. There is friction between the ladder and the floor, but the friction between the ladder and the wall is negligible.

31. The magnitude of the normal force exerted by the

floor on the ladder is

(A) W (B) sin W q

(C) cos W q (D)

sin 2W

q (E) cos 2W q

32. The magnitude of the friction force exerted on the

ladder by the floor is

(A) 2W tan q (B) W (C) cot W q

(D) 2W (E) cot 2W q

33. An ideal spring with spring constant k is cut in

half. What is the spring constant of either one

of the two half springs?

(A)

2

k

(B)

(C) k

(D) 2k

(E) 2k 34. A rocket has landed on Planet X, which has half

the radius of Earth. An astronaut onboard the

rocket weighs twice as much on Planet X as on

Earth. If the escape velocity for the rocket taking off from Earth is 0u, then its escape velocity on Planet X is

(A) 0

2u

(B) 0

(C) 0u

(D) 02

u

(E) 04

u

35. Suppose that a hole is drilled through the center

of Earth to the other side along its axis. A small object of mass m is dropped from rest into the hole at the surface of Earth, as shown above. If Earth is assumed to be a solid sphere of mass M and radius R and friction is assumed to be negligible, correct expressions for the kinetic energy of the mass as it passes Earth’s center include which of the following ?

I. 1

2MgR II. 1

2mgR

III.

2GmM

R

(A) I only (B) II only (C) III only

(D) I and III only (E) II and III only

S T O P

END OF MECHANICS SECTION I

IF YOU FINISH BEFORE TIME IS CALLED,

YOU MAY CHECK YOUR WORK ON MECHANICS SECTION I ONLY.

DO NOT TURN TO ANY OTHER TEST MATERIALS.

Section II

Free-Response Questions

TABLE OF INFORMATION FOR 2008 and 2009

meter, m mole, mol

watt, W farad, F kilogram, kg hertz, Hz coulomb, C tesla, T second, s newton, N volt, V degree Celsius, C ∞

ampere, A pascal, Pa ohm, W

electron-volt, eV UNIT SYMBOLS

kelvin, K joule, J henry,

H

PREFIXES

Factor Prefix Symbol

910 giga G 610 mega M 310 kilo k

210- centi c 310- milli m 610- micro m

910- nano n

1210-

pico p

The following conventions are used in this exam.

I. Unless otherwise stated, the frame of reference of any problem is

assumed to be inertial. II. The direction of any electric current is the direction of flow of positive

charge (conventional current).

III. For any isolated electric charge, the electric potential is defined as zero at

an infinite distance from the charge.

ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2008 and 2009

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江苏省2018年五年一贯制高职“专转本”考试 英语统考试卷 (90分钟) I. Reading Comprehension Passage One The TV play Zheng He is broadcasted on CCTV and the great Chinese traveler comes gradually back to us. It reminds us of a lot of excitement. Zheng He, the Columbus of the east, was an amazing man. He was born in 1371 and, 11 years later, was caught by the army of a rich young man called Zhu Di and made to word for him. Over time the rich man saw that Zheng He was very clever and strong and they became close friends. In 1403, Zhu Di was made the king of China and asked Zheng He to join his new government. The King wanted to learn more about the world and show other countries his power. He ordered many new ships to be built and made Zheng He the leader. Between 1405 and 1433, he led seven sea ships to different parts of the world. He certainly traveled to India, Africa and the Middle East. Some people insist that his ships may have even reached South Africa and Australia. Each trip lasted between two and four years and it is believed he sailed more than 50,000 kilometers during his travels. With 28,000 men and over 300 ships, such as boats for food, water and even soldiers’ horses, Zheng He led a fleet whose size would not be equaled by Europeans for over 500 years. On these trips, he brought with him many Chinese goods like silk and medicine to give to the foreign kings or to sell for local goods. He returned from each trip with boats filled with expensive things such as gold and jewellery, foreign guests and strange animals like a giraffe. It is a pity that we may never learn everything about Zheng He’s travels. After he died in 1433, the new king, who thought these trips were unlucky and cost too much, had them stopped and he burned almost all the books about Zheng He’s travels. It is onl y in the last 50 years, that historians have carefully studied the adventures of the great Zheng He. 1. Why did the Chinese King order Zheng He to sail to many different countries? A. To bring new countries under the control of China. B. To show the world his power. C. To receive gifts from the kings of other countries. D. To discover unusual animals. 2. What do we know about Zheng He from the passage? A. He sailed across the world. B. Each of the trips lasted one year. C. He died at the age of 62. D. He was a successful soldier. 3. Which of the following did Zheng He bring with him from China? A. Gold B. Jewellery C. Medicine D. Giraffes 4. What happened after Zheng He died? A. He was forgotten forever. B. His ships were all destroyed. C. The new king wrote a book about him D. Sea trips to foreign countries were stopped. 5. In what order did the following happen? a. Zhu Di become the King. b. Zheng He was caught by soldiers. c. The books about Zheng He were all burne d.

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