Advanced Problems 4 These problems will be taken from an entire AP Physics B practice exam. Keep track of your work and your score on each problem to get.

Advanced Advanced Problems 4Problems 4

These problems will be taken These problems will be taken from an entire AP Physics from an entire AP Physics B practice exam.B practice exam.

Keep track of your work and Keep track of your work and your score on each your score on each problem to get an estimate problem to get an estimate on how you would have on how you would have performed on the actual performed on the actual exam. exam.

AP Physics B examAP Physics B exam Section I - 90 min Multiple Choice 70 Section I - 90 min Multiple Choice 70

questions.questions.50% of total grade 50% of total grade calculators arecalculators are not not permitted permittedyou may use g = 10m/syou may use g = 10m/s2 2 to to

simplify calculationssimplify calculations Section II - 90 min Free Response 7 Section II - 90 min Free Response 7

questions.questions.50% of total grade50% of total gradeCredit for each answer depends Credit for each answer depends

on on the quality of your work.the quality of your work.

1. A 5kg object is moving in a 1. A 5kg object is moving in a circle of radius 3m at a constant circle of radius 3m at a constant speed of 2m/s. The centripetal speed of 2m/s. The centripetal

acceleration of the object is most acceleration of the object is most nearlynearly

20% 20% 20%20%20%1.1. 1/3m/s1/3m/s22

2.2. 1m/s1m/s22

3.3. 4/3m/s4/3m/s22

4.4. 2m/s2m/s22

5.5. 9.8m/s9.8m/s22

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2. Regarding the object in the 2. Regarding the object in the previous problem, its angular previous problem, its angular

acceleration with respect to an acceleration with respect to an axis perpendicular to the circle’s axis perpendicular to the circle’s

center would becenter would be20% 20% 20%20%20%1.1. 0 rad/s0 rad/s22

2.2. 4/9rad/s4/9rad/s22

3.3. 4/3rad/s4/3rad/s22

4.4. 2rad/s2rad/s22

5.5. 9/4rad/s9/4rad/s22

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3. Two objects, of masses M and m 3. Two objects, of masses M and m respectively, approach each other from respectively, approach each other from opposite directions, each with speed v opposite directions, each with speed v

m/s. Upon impact, m becomes lodged in m/s. Upon impact, m becomes lodged in M. Their combined velocity is nowM. Their combined velocity is now

20% 20% 20%20%20%1.1. Mv+mv/(M+m)Mv+mv/(M+m)

2.2. Mv-mv/(M+m)Mv-mv/(M+m)

3.3. Mv-mv/(M-m)Mv-mv/(M-m)

4.4. Mv+mv/(M-m)Mv+mv/(M-m)

5.5. Mv+mv/(M-m)Mv+mv/(M-m)22

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4. A 0.5kg brass weight swung in a 4. A 0.5kg brass weight swung in a horizontal circle of radius 1.0m at horizontal circle of radius 1.0m at the rate of 1.0m/s has most nearly the rate of 1.0m/s has most nearly

this centripetal force:this centripetal force:20% 20% 20%20%20%

1.1. 0.1N0.1N

2.2. 0.5N0.5N

3.3. 2.0N2.0N

4.4. 5.0N5.0N

5.5. 50N50N

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5. A shell fired from a cannon 5. A shell fired from a cannon at a 30° angle with the ground at a 30° angle with the ground

has an initial velocity of has an initial velocity of 100m/s. It is in the air for100m/s. It is in the air for

20% 20% 20%20%20%1.1. 2 seconds2 seconds

2.2. 10 seconds10 seconds




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6. How far horizontally does 6. How far horizontally does the shell in the previous the shell in the previous

problem travel?problem travel?20% 20% 20%20%20%1.1. √√3/2 m3/2 m

2.2. √√3 m3 m

3.3. 50√3 m50√3 m

4.4. 500√3/2 m500√3/2 m

5.5. 500√3 m500√3 m

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7. An object weighing 10Nis swung 7. An object weighing 10Nis swung in a vertical circle of diameter 2m. in a vertical circle of diameter 2m. The object’s critical velocity at sea The object’s critical velocity at sea

level is most nearlylevel is most nearly20% 20% 20%20%20%

1.1. 1m/s1m/s

2.2. 3m/s3m/s

3.3. 5m/s5m/s

4.4. 7m/s7m/s

5.5. 9m/s9m/s

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8. A waterfall is 100m high. 8. A waterfall is 100m high. The increase in water The increase in water

temperature at the base is temperature at the base is most nearly most nearly

20% 20% 20%20%20%1.1. 0.2°0.2°

2.2. 0.8°0.8°

3.3. 1.2°1.2°

4.4. 2.0°2.0°

5.5. 2.8°2.8°

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9. A pendulum with a period of 2 9. A pendulum with a period of 2 sec at sea level is observed in a sec at sea level is observed in a

spacecraft at an altitude above the spacecraft at an altitude above the earth, which is equal to the earth’s earth, which is equal to the earth’s

radius. The pendulum at that radius. The pendulum at that

altitude has a period ofaltitude has a period of 20% 20% 20%20%20%1.1. 2 sec2 sec

2.2. 4 sec4 sec

3.3. 6 sec6 sec

4.4. 8 sec8 sec

5.5. 10 sec10 sec

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10. The number of 10. The number of Coulombs of charge Coulombs of charge

contained in an alpha contained in an alpha particle particle 44

22αα is is

1.6

x10-

19C

2.4

x10-

19C

3.2

x10-

19C

4.8

x10-

19C

5.2

x10-

19C

20% 20% 20%20%20%

1.1. 1.6x101.6x10-19-19CC

2.2. 2.4x102.4x10-19-19CC

3.3. 3.2x103.2x10-19-19CC

4.4. 4.8x104.8x10-19-19CC

5.5. 5.2x105.2x10-19-19CC

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11. Two masses, M and m, rest on a 11. Two masses, M and m, rest on a frictionless horizontal surface as shown. They frictionless horizontal surface as shown. They

are attached by a compressed spring of are attached by a compressed spring of negligible mass, M=2m. The spring is negligible mass, M=2m. The spring is released, and the masses move apart. released, and the masses move apart.

Compared with the total momentum of the Compared with the total momentum of the masses before release, after release, the total masses before release, after release, the total

momentum ismomentum is

20%

20%

20%

20%

20% 1.1. Half as muchHalf as much

2.2. UnchangedUnchanged

3.3. Twice as muchTwice as much

4.4. Four times as muchFour times as much

5.5. Sixteen times as muchSixteen times as much

M m

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12. The final momentum of 12. The final momentum of mass M compared with that mass M compared with that

of mass m isof mass m is

20%

20%

20%

20%

20% 1.1. Half as muchHalf as much

2.2. The sameThe same

3.3. Twice as muchTwice as much

4.4. Four times as muchFour times as much

5.5. Sixteen times as muchSixteen times as much

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13. The final kinetic energy 13. The final kinetic energy of mass m, as compared to of mass m, as compared to

that of mass M, isthat of mass M, is

20%

20%

20%

20%

20% 1.1. ¼ as great¼ as great

2.2. ½ as great½ as great

3.3. ZeroZero

4.4. Twice as greatTwice as great

5.5. Four times as greatFour times as great

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14. A 20kg box is pushed along a floor 14. A 20kg box is pushed along a floor with constant speed and constant force with constant speed and constant force

of 40N. The coefficient of friction of 40N. The coefficient of friction between the box and the floor isbetween the box and the floor is

20%

20%

20%

20%

20% 1.1. 0.020.02

2.2. 0.20.2

3.3. 0.40.4

4.4. 0.80.8

5.5. 220of5

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Questions 15-17 refer to Questions 15-17 refer to the following figure.the following figure.

m = 1kg

r =10cm

Φ

15. A 1kg hoop of radius 10cm 15. A 1kg hoop of radius 10cm rolls from rest down a ramp and rolls from rest down a ramp and makes 1.5 rev. in 1 second. Its makes 1.5 rev. in 1 second. Its

angular acceleration isangular acceleration is

20%

20%

20%

20%

20% 1.1. 0.20.2ππ rad/s rad/s22

2.2. 22ππ rad/s rad/s22




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16. If I for the hoop equals 16. If I for the hoop equals mrmr22, the net force acting on , the net force acting on

the hoop is closest tothe hoop is closest to

20%

20%

20%

20%

20% 1.1. 2N2N

2.2. 4N4N

3.3. 6N6N

4.4. 8N8N

5.5. 10N10N 0of5

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17. The angle 17. The angle Φ of the ramp is nearest to

20%

20%

20%

20%

20% 1.1. 0°0°

2.2. 15°15°

3.3. 30°30°

4.4. 45°45°

5.5. 60°60°

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Question 18 refers to the Question 18 refers to the following figure.following figure.

5kg 5k

g

18. Two 5kg masses are attached 18. Two 5kg masses are attached to a spring scale by strings that to a spring scale by strings that pass over frictionless pulleys at pass over frictionless pulleys at the edge of a lab table as shown. the edge of a lab table as shown.

The spring scale reads.The spring scale reads.

20%

20%

20%

20%

20% 1.1. 0N0N

2.2. 10N10N

3.3. 20N20N

4.4. 50N50N

5.5. 100N100N0of5

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19. A 1500kg car is being 19. A 1500kg car is being driven over a hill of radius 40 driven over a hill of radius 40 m. What is the greatest speed m. What is the greatest speed

that the car may attain and that the car may attain and still remain in contact with the still remain in contact with the

road?road?

20%

20%

20%

20%

20% 1.1. 5m/s5m/s

2.2. 10m/s10m/s

3.3. 15m/s15m/s

4.4. 20m/s20m/s

5.5. 25m/s25m/s

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12V3Ω

2Ω

2Ω

R

A

20. If the ammeter in the 20. If the ammeter in the above illustration reads 2A, above illustration reads 2A, resistor R has a value of resistor R has a value of

20%

20%

20%

20%

20% 1.1. 22ΩΩ

2.2. 44ΩΩ

3.3. 66ΩΩ

4.4. 88ΩΩ

5.5. 1010ΩΩ0of5

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21. What is the current in 21. What is the current in the 3the 3ΩΩ resistor? resistor?

20%

20%

20%

20%

20% 1.1. 1/5 A1/5 A

2.2. 1/3 A1/3 A

3.3. 2/3 A2/3 A

4.4. 4/5 A4/5 A

5.5. 4/3 A4/3 A 0of5

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A

B

C

A A

A

C C

C

I. II.

III.

22. The above illustration shows a 22. The above illustration shows a pendulum in simple harmonic pendulum in simple harmonic

motion. Of the following, which motion. Of the following, which represents the pendulum’s velocity represents the pendulum’s velocity

versus time and acceleration vs versus time and acceleration vs time graphs?time graphs?

20%

20%20%

20%

20%

I and II I and III II and III III and I III and II

1.1. I and III and II

2.2. I and IIII and III

3.3. II and IIIII and III

4.4. III and IIII and I

5.5. III and IIIII and II

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23. Which are the graphs of 23. Which are the graphs of potential energy Epotential energy Epp vs time vs time

and kinetic energy Eand kinetic energy Ekk versus time?versus time?

20%

20%20%

20%

20%

I and II I and III II and I III and I III and II

1.1. I and III and II

2.2. I and IIII and III

3.3. II and III and I

4.4. III and IIII and I

5.5. III and IIIII and II

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A

B

C

D

E

A soccer ball is kicked into the air and reaches its maximum height at point C. Points B and D are equidistant from the ground. Neglect air friction.

24. The arrows best 24. The arrows best showing the ball’s showing the ball’s

instantaneous acceleration instantaneous acceleration at points B and C areat points B and C are

20%

20%20%

20%

20%

A B C D E

1.1. AA

2.2. BB

3.3. CC

4.4. DD

5.5. EE

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25. The arrows best 25. The arrows best showing the ball’s showing the ball’s

instantaneous velocity at instantaneous velocity at points A and C are points A and C are

20%

20%20%

20%

20%

A B C D E

1.1. AA

2.2. BB

3.3. CC

4.4. DD

5.5. EE

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26. The horizontal and 26. The horizontal and vertical components of the vertical components of the

velocity at point D arevelocity at point D are

20%

20%20%

20%

20%

A B C D E

1.1. AA

2.2. BB

3.3. CC

4.4. DD

5.5. EE

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27. A tea-heater coil of resistance 27. A tea-heater coil of resistance R and current I is placed in a cup R and current I is placed in a cup of water of mass m, to heat the of water of mass m, to heat the

water from room temperature to water from room temperature to boiling at temperature T for t boiling at temperature T for t

seconds duration. The heat needed seconds duration. The heat needed for this process isfor this process is

20%

20%20%

20%

20%

IR/m I2Rmt I2Rm/t I2Rt I2R/t

1.1. IR/mIR/m

2.2. II22RmtRmt

3.3. II22Rm/tRm/t

4.4. II22RtRt

5.5. II22R/tR/t

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Questions 28 - 30Questions 28 - 30

A projectile is fired from a A projectile is fired from a cannon at an angle of 30° cannon at an angle of 30° with the horizontal and with with the horizontal and with an initial velocity of 40m/s.an initial velocity of 40m/s.

28. The time it spends in the air is 28. The time it spends in the air is

20%

20%20%

20%

20%

2 seconds 4 seconds 6 seconds

8 seconds 10 seconds






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29. The horizontal distance 29. The horizontal distance it will travel isit will travel is

20%

20%20%

20%

20%

<100m Between 100 and 200

Between 200 and 400 Between 400 and 500

>500m

1.1. <100m<100m

2.2. Between 100 and Between 100 and 200200



5.5. >500m>500m0 of 5

90

30. It reaches a maximum 30. It reaches a maximum height of height of

20%

20%20%

20%

20%

20m 75m 100m 125m 150m

1.1. 20m20m

2.2. 75m75m

3.3. 100m100m

4.4. 125m125m

5.5. 150m150m

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31. An X-ray photon having 31. An X-ray photon having a wavelength of 3a wavelength of 3AA has an has an

energy equivalent closest toenergy equivalent closest to

20%

20%20%

20%

20%

10-16 J 10-15 J 10-14 J 10-13 J 10-12 J

1.1. 1010-16 -16 JJ

2.2. 1010-15 -15 JJ

3.3. 1010-14 -14 JJ

4.4. 1010-13 -13 JJ

5.5. 1010-12 -12 JJ

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32. A circle of radius r is brought near a 32. A circle of radius r is brought near a straight wire carrying current I, which straight wire carrying current I, which

is increasing in value. The wires are is increasing in value. The wires are both on a flat, horizontal table, as seen both on a flat, horizontal table, as seen

from above. The false statement isfrom above. The false statement is

r I

20%

20%20%

20%

20%

The magnetic field inside the wire circle resulting from itsinduced current is directed into the paper.

The induced current in the circle flows counterclockwise.

The current in the circle depends on the changing current inthe straight wire.

There is a constant magnetic flux through the circle

The magnetic flux inside the circle depends on the currentin the straight wire.

1.1. The magnetic field inside the The magnetic field inside the wire circle resulting from its wire circle resulting from its induced current is directed induced current is directed into the paper.into the paper.

2.2. The induced current in the The induced current in the circle flows counterclockwise.circle flows counterclockwise.

3.3. The current in the circle The current in the circle depends on the changing depends on the changing current in the straight wire.current in the straight wire.

4.4. There is a constant magnetic There is a constant magnetic flux through the circleflux through the circle

5.5. The magnetic flux inside the The magnetic flux inside the circle depends on the current circle depends on the current in the straight wire.in the straight wire.0 of 5

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33. A construction worker on a 33. A construction worker on a 20m high scaffolding throws an 20m high scaffolding throws an object sideways with a speed of object sideways with a speed of 9m/s. A trash container is 20m 9m/s. A trash container is 20m

from the base of the scaffolding. from the base of the scaffolding. How far from the container does How far from the container does

the object land?the object land?

20%

20%20%

20%

20%

2m 3m 4m 5m 6m

1.1. 2m2m

2.2. 3m3m

3.3. 4m4m

4.4. 5m5m

5.5. 6m6m

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34. (3 Volts) x (3 seconds) 34. (3 Volts) x (3 seconds) x (3 Amperes) equalsx (3 Amperes) equals

20%

20%20%

20%

20%

27 N 27 Ω 27 W 27 J 27 C

1.1. 27 N27 N

2.2. 27 27 ΩΩ

3.3. 27 W27 W

4.4. 27 J27 J

5.5. 27 C27 C

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35. A spring with spring constant k 35. A spring with spring constant k decompresses through a distance x decompresses through a distance x and pushes a block of mass m out and pushes a block of mass m out along a frictionless surface with along a frictionless surface with

velocity v=velocity v=

20%

20%20%

20%

20%

xk/m x(m/k)1/2 (1/2)mk2 (kx)1/2 x(k/m)1/2

1.1. xk/mxk/m

2.2. x(m/k)x(m/k)1/21/2

3.3. (1/2)mk(1/2)mk22

4.4. (kx)(kx)1/21/2

5.5. x(k/m)x(k/m)1/21/2

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36. A kilowatt hour is a 36. A kilowatt hour is a unit ofunit of

20%

20%20%

20%

20%

Force Current Capacitance Energy Power

1.1. ForceForce

2.2. CurrentCurrent

3.3. CapacitanceCapacitance

4.4. EnergyEnergy

5.5. PowerPower

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37. Each is a vector 37. Each is a vector quantity except quantity except

20%

20%20%

20%

20%

Velocity Momentum Torque Energy Impulse

1.1. Velocity Velocity

2.2. MomentumMomentum

3.3. TorqueTorque

4.4. EnergyEnergy

5.5. ImpulseImpulse

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38. A number of forces act on an 38. A number of forces act on an object which is in rotational object which is in rotational equilibrium. Which are true equilibrium. Which are true

statements about the state of the statements about the state of the object?object?

20%

20%20%

20%

20%

There is no net force. There is no torque.

There is no net torque. There is no acceleration.

There is no momentum.

1.1. There is no net There is no net force.force.

2.2. There is no There is no torque.torque.

3.3. There is no net There is no net torque.torque.

4.4. There is no There is no acceleration.acceleration.

5.5. There is no There is no momentum.momentum.0 of 5

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39. Total internal reflection 39. Total internal reflection occurs whenoccurs when

20%

20%20%

20%

20%

sin i > sin r i < r n < 1 i > Ic c > n

1.1. sin i > sin rsin i > sin r

2.2. i < ri < r

3.3. n < 1n < 1

4.4. i > Ii > Icc

5.5. c > nc > n

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40. In order for a mass to 40. In order for a mass to accelerate, which is true?accelerate, which is true?

20%

20%20%

20%

20%

There must be no friction acting on it.

There must be a force acting on it.

There must be a net force acting on it.

There must be no normal force acting on it.

There must be a normal force acting on it.

1.1. There must be no There must be no friction acting on it.friction acting on it.

2.2. There must be a force There must be a force acting on it.acting on it.

3.3. There must be a net There must be a net force acting on it.force acting on it.

4.4. There must be no There must be no normal force acting on normal force acting on it.it.

5.5. There must be a normal There must be a normal force acting on it. force acting on it.

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M1

M2

2 kg

3 kg

μ=0.3

41. In the above illustration, a 2kg mass 41. In the above illustration, a 2kg mass M1 rests on a horizontal table. A second M1 rests on a horizontal table. A second mass of 3kg M2 hangs over the side of mass of 3kg M2 hangs over the side of the table, connected to M1 by a string the table, connected to M1 by a string that passes over a frictionless pulley. that passes over a frictionless pulley. The coefficient of friction between M1 The coefficient of friction between M1 and the table is 0.3. The net force on and the table is 0.3. The net force on

M1 isM1 is

0

0

5

90

20%

20%

20%

20%

20%

1.1. 6N6N

2.2. 10N10N

3.3. 18N18N

4.4. 24N24N

5.5. 30N30N

42. The acceleration of M1 42. The acceleration of M1 is most nearlyis most nearly

20%

20%

20%

20%

20%

2m/s2 5m/s2 8m/s2 12m/s2 16m/s2

1.1. 2m/s2m/s22

2.2. 5m/s5m/s22

3.3. 8m/s8m/s22

4.4. 12m/s12m/s22

5.5. 16m/s16m/s22

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Two masses, M1 (5kg) and M2 (10kg) Two masses, M1 (5kg) and M2 (10kg) are attached by a string placed over a are attached by a string placed over a frictionless pulley as shown. The surface frictionless pulley as shown. The surface is frictionless, and the incline is 30°.is frictionless, and the incline is 30°.

θ

M1=5kg

M2=10kg

45. The net force on the 45. The net force on the system is system is

20%

20%

20%

20%

20%

5N 20N 25N 50N 75N

1.1. 5N5N

2.2. 20N20N

3.3. 25N25N

4.4. 50N50N

5.5. 75N75N

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46. The acceleration of 46. The acceleration of mass M2 is mass M2 is

20%

20%

20%

20%

20%

2m/s2 5m/s2 8m/s2 10m/s2 12m/s2

1.1. 2m/s2m/s22

2.2. 5m/s5m/s22

3.3. 8m/s8m/s22

4.4. 10m/s10m/s22

5.5. 12m/s12m/s22

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47. The 5kg mass (M1) is 47. The 5kg mass (M1) is replaced by a 10kg mass. replaced by a 10kg mass.

The new acceleration of M2 The new acceleration of M2 isis

20%

20%

20%

20%

20%

1.5 m/s2 2 m/s2 2.5 m/s2 3 m/s2 3.5 m/s2

1.1. 1.5 m/s1.5 m/s22

2.2. 2 m/s2 m/s22

3.3. 2.5 m/s2.5 m/s22

4.4. 3 m/s3 m/s22

5.5. 3.5 m/s3.5 m/s22

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48. Isotopes contain48. Isotopes contain

20%

20%

20%

20%

20%

Different numbers of protons

Equal numbers of neutrons

Different numbers of electrons

Different numbers of neutrons

Equal numbers of nucleons

1.1. Different numbers Different numbers of protonsof protons

2.2. Equal numbers of Equal numbers of neutronsneutrons

3.3. Different numbers Different numbers of electronsof electrons

4.4. Different numbers Different numbers of neutronsof neutrons

5.5. Equal numbers of Equal numbers of nucleonsnucleons

0 of 590

49. A standing wave of 49. A standing wave of λλ 4m 4m oscillates on a string as shown. If oscillates on a string as shown. If it oscillates at a frequency of 3Hz, it oscillates at a frequency of 3Hz,

its speed isits speed is

20%

20%

20%

20%

20%

¾ m/s 4/3 m/s 3 m/s 6 m/s 12 m/s

1.1. ¾ m/s¾ m/s

2.2. 4/3 m/s4/3 m/s

3.3. 3 m/s3 m/s

4.4. 6 m/s6 m/s

5.5. 12 m/s12 m/s

0 of 5

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50. The efficiency of a heat 50. The efficiency of a heat engine that takes in 200J of engine that takes in 200J of

heat and expels 140J of heat and expels 140J of heat is most nearlyheat is most nearly

20%

20%

20%

20%

20%

10% 30% 50% 60% 70%

1.1. 10%10%

2.2. 30%30%

3.3. 50%50%

4.4. 60%60%

5.5. 70%70%

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51. Sound waves traveling 51. Sound waves traveling through water can best be through water can best be

described asdescribed as

Tors

ional

Tra

nsver

se

Undam

ped

Longi

tudin

al

Ele

ctro

mag

netic

20% 20% 20%20%20%

1.1. TorsionalTorsional

2.2. TransverseTransverse

3.3. UndampedUndamped

4.4. LongitudinalLongitudinal

5.5. ElectromagnetiElectromagneticc

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52. A sphere of mass m and 52. A sphere of mass m and diameter d is immersed in a liquid diameter d is immersed in a liquid of density of density ρρ. The buoyant force on . The buoyant force on

the sphere isthe sphere is20% 20% 20%20%20%1.1. ρπdρπd22g/6g/6

2.2. ρπdρπd33g/6g/6




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53. An object of mass 8kg 53. An object of mass 8kg oscillates vertically on a oscillates vertically on a spring having a spring spring having a spring constant of 2 N/m. Its constant of 2 N/m. Its

period isperiod is20% 20% 20%20%20%1.1. ππ

2.2. 22ππ

3.3. 33ππ

4.4. 44ππ

5.5. 55ππ

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54. A rock of mass m falls from a 54. A rock of mass m falls from a high cliff. If the air friction force is high cliff. If the air friction force is

given by F=Sv, where v is the given by F=Sv, where v is the velocity of the rock and S is a velocity of the rock and S is a

constant, the acceleration of the constant, the acceleration of the rock isrock is 20% 20% 20%20%20%1.1. (Sv/m) - g/2(Sv/m) - g/2

2.2. g – Svg – Sv

3.3. g + Svg + Sv

4.4. g – (Sv/m)g – (Sv/m)

5.5. g + (Sv/m)g + (Sv/m)

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120V

C1

6μF C3

2μF

C4

4μF

C2

2μF

55. The equivalent 55. The equivalent capacitance of this circuit capacitance of this circuit

is nearest to is nearest to 20% 20% 20%20%20%1.1. 5/6 5/6 μμFF

2.2. 6/5 6/5 μμFF

3.3. 7 7 μμFF

4.4. 7.5 7.5 μμFF

5.5. 10.5 10.5 μμFF

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56. The charge stored in 56. The charge stored in the 6 μF capacitor C1 is the 6 μF capacitor C1 is

nearest to nearest to 20% 20% 20%20%20%

1.1. 300 300 μμCC

2.2. 550 550 μμCC

3.3. 600 600 μμCC

4.4. 750 750 μμCC

5.5. 900 900 μμCC

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57. A current-carrying wire 57. A current-carrying wire can become a can become a

superconductor ifsuperconductor if

It is

imm

erse

d in a

m...

It is

imm

erse

d in a

suf..

.

The

curre

nt is

chan

ged.

The

wire

’s d

iam

eter

i...

The

wire

’s le

ngth is

s...

20% 20% 20%20%20%1.1. It is immersed in a It is immersed in a magnetic field.magnetic field.

2.2. It is immersed in a It is immersed in a sufficiently cold sufficiently cold environment.environment.

3.3. The current is changed.The current is changed.

4.4. The wire’s diameter is The wire’s diameter is sufficiently enlarged.sufficiently enlarged.

5.5. The wire’s length is The wire’s length is sufficiently reduced.sufficiently reduced.

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58. A rock is dropped on an alien 58. A rock is dropped on an alien planet and falls a distance of 2 planet and falls a distance of 2 meters in the first second. The meters in the first second. The

planet’s gravitational acceleration planet’s gravitational acceleration

isis 20% 20% 20%20%20%1.1. 1 m/s1 m/s22

2.2. 2 m/s2 m/s22

3.3. 4 m/s4 m/s22

4.4. 6 m/s6 m/s22

5.5. 8 m/s8 m/s22

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59. A spring is hung from a ring 59. A spring is hung from a ring stand. A 2kg mass is now hung on stand. A 2kg mass is now hung on

the spring and stretches it a the spring and stretches it a distance of 0.5 m. The spring distance of 0.5 m. The spring

constant is most nearlyconstant is most nearly20% 20% 20%20%20%1.1. 10 N/m10 N/m

2.2. 20 N/m20 N/m

3.3. 30 N/m30 N/m

4.4. 40 N/m40 N/m

5.5. 50 N/m50 N/m

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60. Two masses, M1 and M2, are 60. Two masses, M1 and M2, are simultaneously dropped in a vacuum. simultaneously dropped in a vacuum. Their distance of separation center to Their distance of separation center to center, is d. As they begin to fall, the center, is d. As they begin to fall, the gravitational force they exert on each gravitational force they exert on each

other isother is 20% 20% 20%20%20%1.1. GMGM11MM22/(M/(M11+M+M22))

2.2. GMGM11MM22//(M(M11+M+M22)d)d22

3.3. GMGM11MM22/(M/(M11dd22))

4.4. GMGM11MM22/(M/(M22dd22/2)/2)

5.5. GMGM11MM22/d/d22

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61. A marble is rolled from rest 61. A marble is rolled from rest down the side of a semicircular down the side of a semicircular bowl. At point P, the marble’s bowl. At point P, the marble’s

acceleration and velocity areacceleration and velocity are

20%

20%20%

20%

20%

A B C D E

1.1. AA

2.2. BB

3.3. CC

4.4. DD

5.5. EE

a v

P

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62. At point P, the direction of the 62. At point P, the direction of the magnetic field due to the wire’s magnetic field due to the wire’s

current I iscurrent I is

To th

e le

ft.

Into

the

page.

Out o

f the

page.

Away

from

the

wire.

Towar

d th

e w

ire.

20% 20% 20%20%20%

1.1. To the left.To the left.

2.2. Into the page.Into the page.

3.3. Out of the Out of the page.page.

4.4. Away from the Away from the wire.wire.

5.5. Toward the Toward the wire.wire.

P

I

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A wire of length 0.2m moves through A wire of length 0.2m moves through a constant magnetic field at 90° angle a constant magnetic field at 90° angle and velocity of 0.2m/s as shown. The and velocity of 0.2m/s as shown. The 0.5T magnetic field is directed into 0.5T magnetic field is directed into the paper.the paper.

X XX XX X

X XX XX X

X XX XX X

v

63. The emf induced in the 63. The emf induced in the wire is most nearlywire is most nearly

20%

20%20%

20%

20%

0.02 V 0.2 V 2 V 10 V 20 V

1.1. 0.02 V0.02 V

2.2. 0.2 V0.2 V

3.3. 2 V2 V

4.4. 10 V10 V

5.5. 20 V20 V

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64. The current induced in 64. The current induced in the wire is directedthe wire is directed

20%

20%20%

20%

20%

Into the page Out of the page To the left

To the right clockwise

1.1. Into the pageInto the page

2.2. Out of the pageOut of the page

3.3. To the leftTo the left

4.4. To the rightTo the right

5.5. clockwiseclockwise

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65. The graphical 65. The graphical representation of emf and representation of emf and

wire speed iswire speed is

20%

20%20%

20%

20%

A B C D E

1.1. AA

2.2. BB

3.3. CC

4.4. DD

5.5. EE

v

v v

v v

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emf

emf

emf

emf

90

66. A sample of radioactive 66. A sample of radioactive material has a half-life of 60 years. material has a half-life of 60 years. After how many years will 1/16 of After how many years will 1/16 of the original substance remain?the original substance remain?

20% 20% 20%20%20%1.1. 60 years60 years

2.2. 120 years120 years




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Question 67Question 67

A

emf

+ -

21

67. Radiant energy of wavelength 67. Radiant energy of wavelength λλ is is incident on a metal grid in an incident on a metal grid in an

evacuated clear glass container as evacuated clear glass container as shown. A weak source of emf is shown. A weak source of emf is

included to aid electron transfer. The included to aid electron transfer. The ammeter will register an increase in ammeter will register an increase in

current except whencurrent except when

20%

20%20%

20%

20%

Radiant energy intensity is increased

Emf is increased

The radiant source is constant.

The separation between plates 1 and 2 is reduced.

The wire in the circuit is replaced with thinner wire.

1.1. Radiant energy Radiant energy intensity is increasedintensity is increased

2.2. Emf is increasedEmf is increased

3.3. The radiant source is The radiant source is constant.constant.

4.4. The separation The separation between plates 1 and between plates 1 and 2 is reduced.2 is reduced.

5.5. The wire in the The wire in the circuit is replaced circuit is replaced with thinner wire. with thinner wire. 0 of 5

90

68. Mass m approaches stationary mass 68. Mass m approaches stationary mass M with velocity v as shown. Upon M with velocity v as shown. Upon

impact, m and M become attached. impact, m and M become attached.

They move with a final velocity V ofThey move with a final velocity V of

20%

20%20%

20%

20%

mv/(M-m) m-(M/mv) Mv/(M+m)

mv/(M+m) (m+M)/mv

1.1. mv/(M-m)mv/(M-m)

2.2. m-(M/mv)m-(M/mv)

3.3. Mv/(M+m)Mv/(M+m)

4.4. mv/(M+m)mv/(M+m)

5.5. (m+M)/mv(m+M)/mv

m v M

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69. A robotics model can lift a 69. A robotics model can lift a mass M a vertical distance H in t mass M a vertical distance H in t seconds at a constant speed. The seconds at a constant speed. The

average power output of the model average power output of the model

isis 20% 20% 20%20%20%

1.1. MgHMgH

2.2. MgH/tMgH/t

3.3. MgHtMgHt

4.4. gH/mtgH/mt

5.5. gH/mgH/m

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70. The robotics model now 70. The robotics model now lifts a 3.0kg mass through a lifts a 3.0kg mass through a

height of 0.5m in 1.0 seconds. height of 0.5m in 1.0 seconds. The power developed isThe power developed is

20%

20%

20%

20%

20%

5 W 10 W 15 W 20 W 25 W

1.1. 5 W5 W

2.2. 10 W10 W

3.3. 15 W15 W

4.4. 20 W20 W

5.5. 25 W25 W

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Advanced Problems 4 These problems will be taken from an entire AP Physics B practice exam. Keep track of your work and your score on each problem to get.

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