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The following constants may be useful during this examination: Speed of light in vacuum: (c) 3.00 x 108 m/s Permittivity of vacuum: (εo) 8.85 x 10-12 F/m Coulomb constant: (k) 9.0 x 109 Nm2/C2 Elementary charge: (e) 1.60 x 10-19 C Planck's constant: (h) 6.63 x 10-34 Js Electron rest mass: (me) 9.11 x 10-31 kg = 5.49 x 10-4 u Proton rest mass: (mp) 1.67265 x 10-27 kg = 1.007276 u Neutron rest mass: (mn) 1.67495 x 10-27 kg = 1.008665 u 1 amu (u) 931.5 MeV/c2 Avogadro's number: (NA) 6.023 x 1023 (mol)-1 Molar gas constant: (R) 8.31 J/(mol K) Boltzmann's constant: (k) 1.38 x 10-23 J/K Stefan-Boltzmann constant: (σ) 5.67 x 10-8 W/(m2 K4) Gravitational constant: (G) 6.67 x 10-11 m3/(kg s2) Standard gravity: (g) 9.80 m/s2 1 Atmosphere: (PA) 1.01 x 105 N/m2 = 76.0 cm Hg

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1. A tiny particle whose mass is 2.34 grams carries a charge of -6.54 microcoulombs. What electric field is required to make the particle hover above the surface of the Earth?

a. 3.51 x 103 V/m upward b. 3.51 x 103 V/m downward c. 3.51 x 106 V/m upward d. 358 V/m downward e. None of the above are correct. 2. A loudspeaker is generating a tone of

262 Hz above an open cylinder that is partially filled with water. As the water level is gradually lowered, a resonance is heard when the water level is 0.963 m below the top. As the water level continues to drop, the next resonance is heard when the water is 1.599 m below the top. According to this data, what is the speed of sound in air?

a. 333 m/s b. 335 m/s c. 336 m/s d. 341 m/s e. None of the above are correct.

3. The moment of inertia of a certain merry-go-round is 250. kg/m2 with respect to its axle. A 35.0 kg child starts the merry-go-round and then jumps onto its edge, 2.00 m away from the axle. At this instant, the rate of rotation is 0.200 revolution per second. While the merry-go-round rotates, the child walks toward its center. Assuming negligible axle and air friction, and assuming that the dimensions of the child are unimportant, what will the rotation rate be when the child reaches the center?

a. 0.312 revolutions per second b. 0.357 revolutions per second c. 0.112 revolutions per second d. 0.200 revolutions per second e. None of the above are correct. 4. Determine the current flowing in the

1.00 Ohm resistor which is shown in the figure.

a. 1.50 A b. 0.417 A c. 1.08 A d. 0.273 A e. 0.500 A

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5. During a display of fireworks, a firecracker explodes 90.0 m above the ground, causing a sound wave to spread out uniformly in all directions. Assume that ground reflections are negligible and that the ground is horizontal. If the intensity of sound at ground level, directly below the firecracker is 0.240 W/m2, what will the intensity of sound be 120.0 m along the ground from this point?

a. 1.44 x 10-1 W/m2 b. 1.80 x 10-1 W/m2 c. 1.35 x 10-1 W/m2 d. 4.41 x 10-2 W/m2 e. 8.64 x 10-2 W/m2 6. As shown in the figure, a horizontal,

uniform beam, whose weight is 412 N, is held in equilibrium by a frictionless hinge at one end and a cord at the other end. What must the angle, A, between the cord and beam be if the tension in the cord is to be 824 N?

a. 60.0 degrees b. 30.0 degrees c. 14.5 degrees d. 75.5 degrees e. The angle cannot be determined

without knowing the length of the beam.

7. The free end of a certain horizontally- oriented spring is compressed 0.700 m. An object is placed against the free end and then released from rest. As the spring pushes the object horizontally along a frictionless tabletop, the object acquires a speed of 3.60 m/s just as it leaves the spring. If instead, the object is permanently attached to the free end of the spring, what would the frequency of the object's vibration be?

a. 5.14 Hz b. 0.819 Hz c. 26.4 Hz d. 4.21 Hz e. 1.22 Hz 8. 2.00 x 1022 atoms of an ideal,

monatomic gas undergo a process during which 150. J of heat is added to the gas at the same time that the gas does 80.0 J of work. During this process, the temperature of the gas changes by

a. 254 Kelvin. b. 169 Kelvin. c. 362 Kelvin. d. 555 Kelvin. e. an amount which cannot be

determined without knowing the atom's mass.

9. A rectangular raft has outside

dimensions of 2.80m-wide by 4.60m- long by 0.300m-tall and a weight of 1495 Newtons. With how much mass must the raft be loaded to cause the raft to float half in and half out of water whose density is 1000. kg / m3?

a. 1.93 x 103 kg b. 3.71 x 103 kg c. 1.89 x 104 kg d. 1.74 x 104 kg e. 1.78 x 103 kg 10. The density of water is 1.00 gram per

cubic centimeter. Two cylindrical

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containers are sitting on the desktop. Container "A" has a cross-sectional

area of 1.00 cm2 and contains water to a depth of 5.00 cm. Container "B" has a cross-sectional area of 2.54 cm2 and contains water to a depth of 3.00 cm. The pressure at the bottom of "A" minus the pressure at the bottom of "B" is

a. -25.7 Pascal. b. -2.62 Pascal. c. 1.96 x 103 Pascal. d. 196 Pascal. e. -0.141 Pascal. 11. A rod is 0.750 m long and has a mass of

3.00 kg when measured at rest in a lab. When an observer moves past the rod at relativistic speed in a direction parallel to the rod's length, the observer determines the momentum of the rod to be 3.00 x 108 kg m / s. What does the observer measure for the length of the rod?

a. 0.667 m b. 0.675 m c. 0.707 m d. 0.712 m e. None of the above are correct.

12. A particle whose mass is 1.50 x 10-5 kg has a charge of 2.50 x 10-5 C. The particle is momentarily at rest half-way between two large parallel plates which have been charged to a potential difference of 18.0 V. Ignoring gravity and friction effects, how fast does the particle move just before striking one of the plates?

a. 30.0 m/s b. 10.8 m/s c. 5.48 m/s d. 11.0 m/s e. 3.87 m/s 13. A 0.420 kg ball, attached to one end of

a spring, is oscillating with simple harmonic motion. The period of the oscillation is 0.250 seconds, and its amplitude is 0.125 m. How much work is required to cause this motion if the ball-spring system is initially in equilibrium?

a. 4.15 J b. 0.0525 J c. 0.0825 J d. 79.0 J e. 2.07 J 14. The angular speed of the rotor in a

centrifuge increases uniformly from 321 radians per second to 1234 radians per second in a time of 4.67 seconds. Through what angle does the rotor turn during this time?

a. 4.26 x 103 radians b. 1.50 x 103 radians c. 1.99 x 104 radians d. 3.63 x 103 radians e. 2.14 x 103 radians

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15. A bicyclist and her bicycle have a speed of 18.2 m/s while passing over the top of a hill in Atlanta whose radius of curvature is 52.3 m. The mass of bicyclist plus bicycle is 85.0 kg. With what amount of force must the road push upward on the bicycle at the instant the bicycle is at the top of the hill?

a. 538 N b. 6.33 N c. 295 N d. 1.37 x 103 N e. 833 N 16. The coefficient of performance of a

Carnot heat pump that operates between 21.0 degrees Celsius and 7.00 degrees Celsius is

a. 3 b. 4.76% c. 21 d. 1.5 e. 95.2% 17. Sound waves of frequency 256 Hz are

generated in air where the speed of sound is 342 m/s. The sound waves are transmitted into a lake in which the speed of sound is 1479 m/s. The ratio of the sound's wavelength in air to that in water is

a. 1.34 b. 0.309 c. 59.1 d. 0.231 e. 4.32

18. When an object is 18.0 cm in front of a certain concave mirror, the virtual image formed is three times the size of the object. The radius of curvature of the mirror must therefore be:

a. 18.0 cm. b. 54.0 cm. c. 27.0 cm. d. 13.5 cm. e. 36.0 cm. 19. As shown in the figure, four electrical

conductors cross each other in a tic-tac- toe pattern. The conductors make electrical contact at their intersections. A uniform magnetic field of value 1.50 T is perpendicular to the tic-tac-toe plane and directed into the paper. Conductors C and D are stationary and 10.0 cm apart, but A moves left at 20.0 cm/s, while B moves right at 30.0 cm/s. What is the rate of change of flux in the enclosed area bounded by the conductors?

a. +0.0750 volts b. +0.0150 volts c. -0.0150 volts d. +750 volts e. The rate of change of flux is time

dependent.

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20. Vector A equals 30.0 Newtons at 0.00 degrees. Vector B equals 40.0 Newtons at +90.0 degrees. Vector A minus vector B is

a. -10.0 Newtons at -90 degrees. b. 50.0 Newtons at -53.1 degrees. c. -10.0 Newtons at -53.1 degrees. d. 70.0 Newtons at -53.1 degrees. e. 50.0 Newtons at -36.9 degrees. 21. During a certain process involving an

ideal gas, the pressure increases linearly with time, from 9.0 x 105 Pa to 12.0 x 105 Pa. During the same interval, the volume of the gas is expanding linearly with time, from 0.00150 m3 to 0.00200 m3. The amount of work done by the gas is

a. 525 J. b. 150. J. c. 75.0 J. d. 450. J. e. 1050 J. 22. A child walks 6.00 meters due East from

a flagpole, then walks due North and stops. The child's final displacement vector (relative to the flagpole) points 20.0 degrees North of East. How far is the child away from the flagpole?

a. 6.39 meters b. 5.64 meters c. 2.18 meters d. 16.5 meters e. Not enough information is given.

23. Initially an object is at (x, y)=(2.00m, 3.00m). 2.00 seconds later the object is at (-1.00m,9.00m). The average velocity of the object during this time is

a. 22.5 m/s at -63.4 degrees

counter-clockwise from the positive x-axis.

b. 3.35 m/s at 297 degrees counter- clockwise from the positive x- axis.

c. 6.71 m/s at 117 degrees counter- clockwise from the positive x- axis.

d. 3.35 m/s at 117 degrees counter- clockwise from the positive x- axis.

e. 6.71 m/s at -63.4 degrees counter-clockwise from the positive x-axis.

24. A glass tube, 100 cm long, has a 2.00

mm diameter bore. The tube is oriented vertically, with its bottom end sealed and its upper end open to one standard atmosphere. A 20.0 cm long slug of liquid mercury in the tube traps a 5.00 cm column of air below it. The tube is then inverted, putting the open end down. What will be the new length of the trapped air column?

a. 6.32 cm b. 24.0 cm c. 5.00 cm d. 8.57 cm e. 100 cm

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25. A styrofoam ice chest has inner dimensions of 40.0 cm by 40.0 cm by 40.0 cm with 1.00 cm thick walls. The closed chest contains 20.0 kg of water at 0.00 °C. The specific heat of water is about 4186 J/(kg °C), and the thermal conductivity of styrofoam is about 0.0100 J/(s m °C). If the temperature outside the chest is 35.0 °C, the time it takes to heat the water up to 4.00 °C will be closest to

a. 3 minutes. b. 30 hours. c. 3 hours. d. 100 hours. e. 10 hours. 26. A proton moves in a circular orbit under

the influence of a uniform magnetic field which is perpendicular to the orbital plane. If the momentum of the proton is 1.05 x 10-21 kg m / s, and the orbital radius is 6.60 x 10-2 m, then the value of the magnetic field is closest to

a. 10 T. b. 1 x 10-4 T. c. 1 x 10-5 T. d. 1 x 10-22 T. e. 0.1 T.

27. A mountaineer's rappel rack consists of a set of steel rods which are constrained to slide on a steel, U-shaped 'bolt'. The climber's rope is threaded through the rods, and by putting tension in the lower rope, the climber is able to control his/her descent. Suppose that the total mass of the rappel rack is 681 grams and that the specific heat of steel is 452 J/(kg °C). If a 50.0 kg climber descends 60.0 meters at constant speed, by how much does the temperature of the rack increase, assuming that all of the heat remains with the rack?

a. 65.0 °C b. 95.5 °C

c. 9.75 °C d. 0.096 °C e. The increase cannot be

determined without knowing the coefficient of friction.

28. Concrete has a coefficient of linear

expansion of about 12 x 10-6 /°C. Consider two concrete slabs that each measure 3.0 feet by 3.0 feet by 3.0 inches when the temperature is 25 °C. The two slabs are placed next to each other, large face down, on a horizontal surface. Suppose that the slab edges which lie on the horizontal surface are prevented from sliding apart on that surface. Assuming that the horizontal surface has negligible expansion, how much must the slabs rise along their common edge if the temperature rises to 41 °C?

a. about 0.71 inches b. about 0.0069 inches c. about 0.070 inches d. about 5.8 x 10-4 inches e. about 0.23 inches 29. A particle of mass m is confined to

move in a one dimensional box of length

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L. If the particle is in a state in which its standing deBroglie waves appear as shown in the figure , what is the kinetic energy of the particle? (h = Planck's constant)

a. (9 h2) / (2 m L2) b. (1 h2) / (18 m L2) c. (9 h2) / (4 m L2) d. (9 h2) / (1 m L2) e. (9 h2) / (8 m L2) 30. A certain system expands by the

amount 0.0218 cubic meters at a constant pressure of 1.01 x 105 Pa. During this expansion the system absorbs 1500 J of heat. The change in internal energy of the system will be about

a. 3700 J. b. +700 J. c. 2200 J. d. -3700 J. e. -700 J.

31. Mass A has twice the momentum of mass B, but both objects have the same kinetic energy. Which of the following statements is true, assuming speeds much less than the speed of light?

a. The speed of B is 1/2 the speed

of A, and the mass of B is 4 times the mass of A.

b. The speed of A is 1/2 the speed of B, and the mass of A is 4 times the mass of B.

c. The speeds of A and B are the same, but the mass of B is twice the mass of A.

d. The speed of A is 1/3 the speed of B, and the mass of B is 6 times the mass of A.

e. None of the above are correct. 32. When a transparent solid is immersed in

water, it is found that the critical angle for the solid is 33.4 degrees. The speed of light in the water is 2.25 x 108 m/s. What is the index of refraction of the solid?

a. 1.36 b. 1.60 c. 2.42 d. 1.82 e. 0.734

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33. A 35.0 kg solo canoe and its occupant, a 55.0 kg canoeist, are floating due East in a lake with a speed of 1.50 m/s relative to the shore of the lake. The canoeist then jumps due East off the bow end of the canoe, causing the canoe to have a velocity of 2.00 m/s due West. Ignoring frictional effects, how fast, relative to the shore, was the canoeist moving in the Eastward direction just after she left the canoe?

a. 3.73 m/s b. 1.18 m/s c. 0.955 m/s d. 2.45 m/s e. 3.86 m/s 34. A 0.612 kg basketball is released from a

height of 1.89 m above the floor with a speed of 7.00 m/s. The ball goes through the hoop, which is 3.00 m above the floor, with a speed of 4.00 m/s. What magnitude of work is done by air resistance?

a. 6.65 J b. 0.00 J c. 5.62 J d. 13.5 J e. 3.44 J 35. Two forces act upon a 7.00 kg mass.

One is 20.0 N at +30.0 degrees with respect to the positive x-axis. The second force is 15.0 N at -122 degrees with respect to the positive x-axis. The resulting x-component of acceleration of the mass will be

a. -0.174 m/s2 b. 0.00 m/s2 c. 1.34 m/s2 d. 0.714 m/s2 e. -0.631 m/s2

36. A 250 gram puck slides across the surface of an ice hockey arena with an initial speed of 3.00 m/s. 6.00 seconds later the friction between the ice and the puck has brought the puck to rest. What was the average magnitude of frictional force between the ice and the puck?

a. 4.50 Newtons b. 0.125 Newtons c. 0.500 Newtons d. 125 Newtons e. 0.750 Newtons 37. A bullet is fired horizontally from a

height of 2.00 m above the Earth's surface, and with a speed of 154 m/s. Ignoring air friction, how far does the bullet move horizontally before striking the horizontal ground below it?

a. 98.4 m b. 69.6 m c. 31.4 m d. 154 m e. 62.8 m 38. A rubber ball is thrown straight down

from a second story window toward a horizontal sidewalk. The initial velocity of the ball is 12.0 m/s down. 1.5 seconds later, after the ball has rebounded from the sidewalk, the ball's velocity is 17.3 m/s upward. What is the ball's average acceleration during this 1.5 second interval?

a. 9.8 m / s2 downward b. 3.53 m / s2 upward c. 7.95 m / s2 upward d. 3.53 m / s2 downward e. 19.5 m / s2 upward

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39. A pole-vaulter approaches the takeoff point at a speed of 8.90 m/s. Assuming that the pole-vaulter does not do any other work during the vault, what maximum elevation change will result from his initial speed?

a. 8.08 m b. 0.454 m c. 1.24 m d. 4.04 m e. 0.908 m

40. A marathon runner runs from town A to town B with an average speed of 0.200 miles per minute, then turns around and runs back to town A with an average speed of 0.100 miles per minute. The runner's average speed for the round trip is

a. 0.167 miles per minute. b. 0.300 miles per minute. c. 0.133 miles per minute. d. 0.150 miles per minute. e. not determinable without knowing

the distance from A to B.

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ANSWER KEY 1. B 2. A 3. A 4. D 5. E 6. C 7. B 8. B 9. E 10. D

11. D 12. C 13. E 14. D 15. C 16. C 17. D 18. B 19. A 20. B

21. A 22. A 23. D 24. D 25. C 26. E 27. B 28. A 29. E 30. E

31. B 32. C 33. A 34. E 35. C 36. B 37. A 38. E 39. D 40. C