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AP Multiple Choice 2004

answers

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1. 72% For which of the following motions of an object mustthe acceleration always be zero?

I. Any motion in a straight line II. Simple harmonic motion III. Any motion in a circle

a. I only b. II only c. III only

d. Either I or III, but not II

e. None of these motions guarantees zero acceleration.

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2. 43% A rope of negligible mass supports a

block that weighs 30 N, as shown above. Thebreaking strength of the rope is 50 N. Thelargest acceleration that can be given to theblock by pulling up on it with the rope withoutbreaking the rope is most nearly

a. 6 m/s2 b. 6.7 m/s2 c. 10 m/s2

d. 15 m/s2 e. 16.7 m/s2

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3. 37% A compressed spring mounted on a disk can project asmall ball. When the disk is not rotating, as shown in the top viewabove, the ball moves radially outward. The disk then rotates in acounterclockwise direction as seen from above, and the ball isprojected outward at the instant the disk is in the position shownabove. Which of the following best shows the subsequent path of

the ball relative to the ground?

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4. 42% A ball is thrown straight up in the air. When the ballreaches its highest point, which of the following is true?

a. It is in equilibrium. b. It has zeroacceleration.

c. It has maximum momentum. d. It has maximum kinetic

energy. e. None of the above

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5.69% The figure above shows an objectof mass 0.4 kg that is suspended from ascale and submerged in a liquid. If the

reading on the scale is 3 N, then thebuoyant force that the fluid exerts on theobject is most nearly

a. 1.3 N b. 1.0 N c. 0.75 Nd. 0.33 N e. 0.25 N

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A sphere of mass ml, which is attached to a spring, is displaced downwardfrom its equilibrium position as shown above left and released from rest. Asphere of mass m2, which is suspended from a string of length l, isdisplaced to the right as shown above right and released from rest so that itswings as a simple pendulum with small amplitude. Assume that bothspheres undergo simple harmonic motion

6. 64% Which of the following is true for both spheres? a. The maximum kinetic energy is attained as the sphere passes throughits equilibrium position.

b. The maximum kinetic energy is attained as the sphere reaches its pointof release.

c. The minimum gravitational potential energy is attained as the spherepasses through its equilibrium

position. d. The maximum gravitational potential energy is attained when the sphere

reaches its point of release. e. The maximum total energy is attained only as the sphere passes through

its equilibrium position.

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7. 34% If both spheres have the sameperiod of oscillation, which of the followingis an expression for the spring constant?

a. b. c. d. e.gm

l

1lm

g

2 g

lm1

l

gm2

l

gm1

a.

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8.58% A block attached to the lower end of avertical spring oscillates up and down. If thespring obeys Hooke's law, the period ofoscillation depends on which of the following?

I. Mass of the block II. Amplitude of the oscillation III. Force constant of the spring a. I only b. II only c. III only d.

I and II e. I and III

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9.75% An empty sled of mass Mmoveswithout friction across a frozen pond at speedvo. Two objects are dropped vertically into the

sled one at a time: first an object of mass mandthen an object of mass 2m. Afterward the sledmoves with speed vf. What would be the finalspeed of the sled if the objects were dropped

into it in reverse order? a. vf /3 b. vf /2 c. vf d. 2vf

e. 3vf

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10. 47% A new planet is discoveredthat has twice the Earth's mass and twicethe Earth's radius. On the surface of this

new planet, a person who weighs 500 Non Earth would experience a gravitationalforce of

a. 125 N b. 250 N c. 500 Nd. 1000 N e. 2000 N

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11. 52% The graph above representsposition x versus time t for an object beingacted on by a constant force. The average

speed during the interval between 1 s and2 s is most nearly

a. 2 m/s b. 4 m/s c. 5 m/s

d. 6 m/s e. 8 m/s

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12. 37% Two blocks of steel, the first of mass 1kg and the second of mass 2 kg, are in thermalequilibrium with a third block of aluminum of

mass 2 kg that has a temperature of 400 K.What are the respective temperatures of the firstand second steel blocks?

a. 400 K and 200 K b. 200 K and 400 K

c. 400 K and 400 K

d. 800 K and 400 K e. None of the above

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13. 30% An ideal gas may be taken from onestate to another state with a different pressure,volume, and temperature along several differentpaths. Quantities that will always be the samefor this process, regardless of which path istaken, include which of the following?

I. The change in internal energy of the gas

II. The heat exchanged between the gas and itssurroundings

III. The work done by the gas

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14. 49% Two parallel wires, eachcarrying a current I, repel each other witha force F. If both currents are doubled, the

force of repulsion is

a. 2F b. F c. 4F d. Fe. 8F

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15. 29% The hollow metal sphere shown above ispositively charged. Point C is the center of the sphereand point P is any other point within the sphere. Which ofthe following is true of the electric field at these points?

a. It is zero at both points. b. It is zero at C, but at P it is not zero and is directed

inward.

c. It is zero at C, but at P it is not zero and is directedoutward.

d. It is zero at P, but at C it is not zero.

e. It is not zero at either point.

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16. 36% The total capacitance of several capacitors in parallel isthe sum of the individual capacitances for which of the followingreasons?

a. The charge on each capacitor depends on its capacitance, butthe potential difference across each is

the same. b. The charge is the same on each capacitor, but the potential

difference across each capacitor depends on its capacitance. c. Equivalent capacitance is always greater than the largest

capacitance.

d. Capacitors in a circuit always combine like resistors in series. e. The parallel combination increases the effective separation of the

plates.

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17. 22% A wire of length L and radiusrhas a resistance R. What is theresistance of a second wire made from the

same material that has a length L/2and aradius r/2?

a. 4R b. 2R c. R d. R/2

e. R/4

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18.20% The operating efficiency of a0.5 A, 120 V electric motor that lifts a 9 kgmass against gravity at an average

velocity of 0.5 m/s is most nearly

a. 7% b. 13% c. 25% d.53% e. 75 %

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Charges -Qand +Qare located on thex- and y-axes, respectively, each at adistance d from the origin O, as shown

above. 19. 48% What is the direction of the

electric field at the origin O?

a. b. c. d.

e.

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20. 16% What is the magnitude of theelectric field at the origin O?

a. b. c. d.e.

22d

kQ

22d

kQ

2d

kQ2

2

d

kQ

2

2

d

kQ

e.

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21. 57% An electron eand a proton paresimultaneously released from rest in a uniformelectric field E, as shown above. Assume thatthe particles are sufficiently far apart so that the

only force acting on each particle after it isreleased is that due to the electric field. At a latertime when the particles are still in the field, theelectron and the proton will have the same

a. direction of motion b. speed c. displacement d.

magnitude of acceleration e. magnitude of force acting on them

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22. 42% A square steel plate withsides of length 1.00 m has a hole in itscenter 0.100 m in diameter. If the entire

plate is heated to such a temperature thatits sides become 1.01 m long, thediameter of the hole will be

a. 0.090 m b. 0.099 m c.0.100 m d. 0.101 m e. 0.110 m

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23. 81% Which of the following will occur if theaverage speed of the gas molecules in a closedrigid container is increased?

a. The density of the gas will decrease.b. The density of the gas will increase.

c. The pressure of the gas will increase.d. The pressure of the gas will decrease.

e. The temperature of the gas will decrease.

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24. 64% The spherical mirror shownabove has a center of curvature at point c.Which point is nearest to the focal point?

a. a b. b c. c d. de. e

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25. 57%The frequencies of the firsttwo overtones (second and thirdharmonics) of a vibrating string are fand

3f /2. What is the fundamental frequencyof this string?

a. f /3 b. f /2 c. f d. 2f

e. 3f .

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26. 37% An object is placed in front ofa converging thin lens at a distance fromthe center of the lens equal to half the

focal length. Compared to the object, theimage is

a. upright and larger b. upright andsmaller c. inverted and larger

d. inverted and smaller

e. inverted and the same size

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27.36% A radio station broadcasts on acarrier frequency of 100 MHz. Thewavelength of this radio wave is most

nearly

a. 3.0 x 10 -3 m

b. 1.0 m c. 3.0 m

d. 3.3 m

e. 3.0 x 106 m

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28. 56% Which of the following ischaracteristic of both sound and lightwaves?

a. They are longitudinal waves. b.They are transverse waves.

c. They travel with the same velocity.

d. They can be easily polarized.

e. They give rise to interference effects

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A student obtains data on the magnitude of forceapplied to an object as a function of time anddisplays the data on the graph above.

29. 89% The slope of the "best fit" straight lineis most nearly

a. 5 N/s b. 6 N/s

c. 7 N/s d. 8 N/s

e. 10 N/s

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30. 18% The increase in themomentum of the object between t = 0 sand t = 4 s is most nearly

a. 40 Ns

b. 50 Ns c. 60 Ns d. 80 Ns

e. 100 Ns

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31. 85% How does an air mattress protect a stuntperson landing on the ground after a stunt?

a. It reduces the kinetic energy loss of the stunt person.

b. It reduces the momentum change of the stunt person.

c. It increases the momentum change of the stuntperson.

d. It shortens the stopping time of the stunt person andincreases the force applied during the landing.

e. It lengthens the stopping time of the stunt person andreduces the force applied during the landing.

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A horizontal, uniform board of weight 125 N andlength 4 m is supported by vertical chains at each

end. A person weighing 500 N is sitting on theboard. The tension in the right chain is 250 N.

32. 75% What is the tension in the leftchain?

a. 250 N b. 375 N c. 500 Nd. 625 N

e. 875 N

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33. 52% How far from the left end ofthe board is the person sitting?

a. 0.4 m b. 1.5 m c. 2 md. 2.5 m

e. 3 m

Q ti 34 35 l t t th h t l t i

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Questions 34-35 relate to the photoelectriceffect. For each question, choose an answer

from the following graphs

.

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34. 23 %Which graph shows themaximum kinetic energy of the emittedelectrons versusthe frequency of the

light? a. A b. B

c. C

d. D

e. E

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35. 19% Which graph shows the totalphotoelectric current versus the intensityof the light for a fixed frequency above the

cutoff frequency? a. A

b. B

c. C

d. D

e. E

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36. 28% Which of the following statementsabout the number of protons Zand the numberof neutrons Nin stable nuclei is true?

a. All stable nuclei have Z= N. b. Only heavy stable nuclei have Z = N.

c. Heavy stable nuclei tend to have Z < N.

d. All light stable nuclei have Z < N. e. All light stable nuclei have Z > N.

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37. 44% Each of the beakers shown above is filled to thesame depth h with liquid of density p. The area A of theflat bottom is the same for each beaker. Which of the

following ranks the beakers according to the netdownward force exerted by the liquid on the flat bottom,from greatest to least force?

a. I, III, II, IV

b. I, IV, III, II

c. II, III, IV, I

d. IV, III, I, II

e. None of the above; the force on each is the same.

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38. 36% A T-shaped tube with a constriction isinserted in a vessel containing a liquid, as shown above.What happens if air is blown through the tube from theleft, as shown by the arrow in the diagram?

a. The liquid level in the tube rises to a level above thesurface of the liquid surrounding the tube.

b. The liquid level in the tube falls below the level of thesurrounding liquid.

c. The liquid level in the tube remains where it is.

d. The air bubbles out at the bottom of the tube.

e. Any of the above depending on how hard the air flows

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39. 12% A spring scale calibrated in kilograms is usedto determine the density of a rock specimen. The readingon the spring scale is 0.45 kg when the specimen issuspended in air and 0.36 kg when the specimen is fully

submerged in water. If the density ofwater is1000kg/m3, the density of the rock specimen is

a. 2.0 x 102 kg/m3

b. 8.0 x 102 kg/m3

c. 1.25 x 103 kg/m3

d. 4.0 x 103 kg/m3

e. 5.0 x 103 kg/m3

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40. 56% Two objects, A and B, initially atrest, are "exploded" apart by the release of acoiled spring that was compressed betweenthem. As they move apart, the velocity of object

A is 5 m/s and the velocity of object Bis -2 m/s.The ratio of the mass of object A to the mass ofobject B, mA/mB, is

a. 4/25 b. 2/5 c. 1/1

d. 5/2

e. 25/4

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41. 65% The cart of mass 10 kg shownabove moves without frictional loss on a leveltable. A 10 N force pulls on the cart horizontallyto the right. At the same time, a 30 N force at an

angle of 60 above the horizontal pulls on thecart to the left. What is the magnitude of thehorizontal acceleration of the cart? a. 0.5 m/s2

b. 1.6 m/s2

c. 2.0 m/s2

d. 2.5 m/s2

e. 2.6 m/s2

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42. 39% A child has a toy tied to theend of a string and whirls the toy atconstant speed in a horizontal circular

path of radius R. The toy completes eachrevolution of its motion in a time period T.What is the magnitude of the accelerationof the toy?

a. Zero b. c. d. ge. 2g

2

2

4

T

R

2T

R

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43. 29% A simple pendulum and a mass hanging on a spring bothhave a period of 1 s when set into small oscillatory motion on Earth.They are taken to Planet X, which has the same diameter as Earthbut twice the mass. Which of the following statements is true aboutthe periods of the two objects on Planet X compared to their periodson Earth?

a. Both are shorter. b. Both are the same. c. Both are longer. d. The period of the mass on the spring is shorter, that of the

pendulum is the same. e. The period of the pendulum is shorter; that of the mass on the

spring isthe same.

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44. 56% A steel ball supported by a stick rotatesin a circle of radius r, as shown above. Thedirection of the net force acting on the ball when

it is in the position shown is indicated by whichof the following?

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Two large, flat, parallel, conducting platesare 0.04 m apart, as shown above. Thelower plate is at a potential of 2 V with

respect to ground. The upper plate is at apotential of 10 V with respect to ground.Point Pis located 0.01 m above the lower

plate.

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45. 45% The electric potential at pointPis

a. 10 V

b. 8 V

c. 6 V

d. 4 V e. 2 V

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46. 18% The magnitude of the electricfield at point Pis

a. 800 V/m

b. 600 V/m

c. 400 V/m

d. 200 V/m e. 100 V/m

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47. 27% Two conducting wire loops move near a very long,straight conducting wire that carries a current I. When the loops arein the positions shown above, they are moving in the directionsshown with the same constant speed v. Assume that the loops arefar enough apart that they do not affect each other. Which of thefollowing is true about the induced electric currents, if any, in the

loops? Loop l Loop 2 a. No current No current b. No current Counterclockwise direction c. Clockwise direction No current d. Clockwise direction Clockwise direction e. Counterclockwise direction Clockwise direction

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48. 52% What is the current I1?

a. 0.8 mA

b. 1.0 mA

c. 2.0 mA

d. 3.0 mA

e. 6.0 mA

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49. 64% How do the currents I1, I2,and 13compare?

a. I1 > I2 > I3 b. I1 > I3 > I2

c. I2 > I1 > I3

d. I3 > I1 > I2

e. I3 > I2 > I1

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A light ray Rin medium I strikes a sphere ofmedium II with angle of incidence , as shownabove. The figure shows five possiblesubsequent paths for the light ray.

50. 25% Which path is possible if medium I isair and medium II is glass? a. A b. B

. C c d. D e. E

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51. 23 %Which path is possible ifmedium I is glass and medium II is air?

a. A

b. B

c. C

d. D e. E

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52. 32%Two fire trucks have sirens that emit waves of the samefrequency. As the fire trucks approach a person, the person hears ahigher frequency from truck Xthan from truck Y. Which of thefollowing statements about truck Xcan be correctly inferred from thisinformation?

I. It is traveling faster than truck Y.

II. It is closer to the person than truck Y. III. It is speeding up. and truck Y is slowingdown. a. I only b. III only c. I and II only

d. II and III only e. I, II, and III

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53. 9% A thin film with index of refraction nf separatestwo materials, each of which has an index of refractionless than nf. A monochromatic beam of light is incidentnormally on the film, as shown above. If the light haswavelength within the film, maximum constructiveinterference between the incident beam and the reflectedbeam occurs for which of the following film thicknesses?

a. 3

b. 2

c. d. /2

e. /4

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54. 49% An object is placed on the axis of aconverging thin lens of focal length 2 cm, at adistance of 8 cm from the lens. The distance

between the image and the lens is most nearly a. 0.4 cm

b. 0.8 cm

c. 1.6 cm

d. 2.0 cm

e. 2.7 cm

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55. 15% A large lens is used to focus an imageof an object onto a screen. If the left half of thelens is covered with a dark card, which of the

following occurs? a. The left half of the image disappears.

b. The right half of the image disappears.

c. The image becomes blurred.

d. The image becomes dimmer.

e. No image is formed.

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56. 22% above. The temperatures on eachside of the door are T2and T1,respectively. Which of the following

changes would be certain to decrease Q? a. Increasing A only

b. Decreasing donly

c. Increasing dand T2 T1 only d. Decreasing A and T2 T1 only

e. Increasing d, A, and T2 T1

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57.41% A gas with a fixed number of molecules does 32J of work on its surroundings, and 16 J of heat aretransferred from the gas to the surroundings. Whathappens to the internal energy of the gas?

a. It decreases by 48 J. b. It decreases by16 J.

c. It remains the same. d. It increases by 16 J.

e. It increases by 48 J.

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58. 23% When 10 B is bombarded by neutrons, aneutron can be absorbed and an alpha particle (4He)emitted. If the 10 B target is stationary, the kinetic energyof the reaction products is equal to the

a. kinetic energy of the incident neutron b. total energy of the incident neutron

c. energy equivalent of the mass decrease in thereaction

d. energy equivalent of the mass decrease in thereaction, minus the kinetic energy of the incident neutrone. energy equivalent of the mass decrease in thereaction, plus the kinetic energy of the incident neutron

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59. 34% The nuclide emits an electron andbecomes nuclide X. Which of the following givesthe mass number and atomic number of nuclideX?

Mass Atomic Number Number a. 210 80 b. 210 81

c. 213 83 d. 214 81 e. 214 83

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60. 10% A 50,000 W radio stationtransmits waves of wavelength 4 m.Which of the following is the best estimate

of the number of photons it emits persecond?

a. 108 b. 1022 c. 1030 d.

1040 e. 1056

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An object of mass mis initially at rest and free tomove without friction in any direction in thexy-plane. A constant net force of magnitude F

directed in the +xdirection acts on the object for1 s. Immediately thereafter a constant net forceof the same magnitude Fdirected in the +ydirection acts on the object for 1 s. After this, no

forces act on the object.

. c o e o ow ng vec ors courepresent the velocity of the object at the end of 3 s,

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ep ese t t e e oc ty o t e object at t e e d o 3 s,

assuming the scales on the x and y axes are equal.

62. 25% Which of the following graphs

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g g pbest represents the kinetic energy Kof

the object as a function of time?

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63. 7% The two blocks of masses Mand2Mshown above initially travel at thesame speed v but in opposite directions.

They collide and stick together. How muchmechanical energy is lost to other forms ofenergy during the collision?

a. Zero b. c. d. .e.

2

2

1 Mv 2

4

3

Mv

2

3

4Mv

2

2

3Mv

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64. 46% A wire loop is rotated in a uniformmagnetic field about an axis perpendicular to thefield. as shown above. How many times is theinduced current in the loop reversed if the loop

makes 3 complete revolutions from the positionshown? a. One b. Two

c. Three d. Six e. Twelve

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65. 13% A particle of charge Qand mass misaccelerated from rest through a potentialdifference V, attaining a kinetic energy K. What

is the kinetic energy of a particle of charge 2Qand mass m/2that is accelerated from restthrough the same potential difference?

a. 4

b. 2

c. K d. 2K

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66. 40% The diagram above shows electric field lines in anisolated region of space containing two small charged spheres, Yand ZWhich of the following statements is true?

a. The charge on Yis negative and the charge on Zis positive. b. The strength of the electric field is the same everywhere. c. The electric field is strongest midway between Yand Z. d. A small negatively charged object placed at point Xwould tend to

move toward the right. e. Both charged spheres Yand Zcarry charge of the same sign.

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67. 30% A satellite of mass m andspeed v moves in a stable, circular orbitaround a planet of mass M. What is the

radius of the satellite's orbit? a. b. c. d.

e.

mv

GM

mM

Gv

2v

GM

v

GmM

2v

GmM

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68. 40%A constant force of 900 N pushesa 100 kg mass up the inclined plane shownabove at a uniform speed of 4 m/s. The powerdeveloped by the 900 N force is most nearly

a. 400 W

b. 800 W

c. 900 W

d. 1000 W

e. 3600 W

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69.27% As shown above, a positively charged particlemoves to the right without deflection through a pair ofcharged plates. Between the plates are a uniform electricfield Eof magnitude 6.0 N/C and a uniform magneticfield Bof magnitude 2.0 T, directed as shown in thefigure. The speed of the particle is most nearly

a. 0.33 m/s

b. 0.66 m/s

c. 3.0 m/s

d. 12 m/s

e. 18 m/s

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70. 13% A hollow metal sphere 1.0 m indiameter carries a charge of 4.0 C. The

electric field at a distance of 2.0 m from

the center of the sphere is most nearly a. 9.0 x 103 N/C b. 1.8 x 104 N/C c.

2.4 x 104 N/C

d. 3.6 x 104 N/C e. 1.4 x 105 N/C

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AP Multiple Choice Answers

2004Remember: Multiple Choice is Not

Multiple Guess, Work out theanswers

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1.

E. None of these THEY CAN ALLINCLUDE ACCELERATION

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2

B 6.7 m/s2

T = mg + ma

50 N = 30 N + (3 kg) (a)

20 N = 3 a

a= 20/3 = 6.7 m/s2

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3

E.

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E.

None of the above

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B

WEIGHT OF 0.4 KG = 4.0 N

Fnet =

mg FBuoy

3 N = 4 N FBuoy FBuoy = 4 N 3 N

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A

The maximum kinetic energy is attained asthe sphere passes through its equilibrium

position. because this is where themaximum velocity is.

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E

Ts = Tp

2(L/g) = 2(m1 /K)

(L/g) = (m1 /K)

(K) = (m1 g/L)

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E

Ts = 2(m/K)

mass and force constant only

I and III only

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C

The same vf

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B

F1 = GM1 m2 /r12

F2 = G2M1 m2 /(2r1)2

F2 = G2M1 m2 /(4 r12)

F2 = G M1 m2/r12 = F1 = 500 N =

250 N

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D

v = d/t = 8 m 2 m / 1 s = 6m/s

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C

Thermal equilibrium MEANS temperatureis the same!

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A P

V

U = Q + W

Work done = area under the curve

Only the change in internal energy is the same

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C

F = 0 I1 I2/2 r

F1 = 0 I2 /2 r

F2 = 0 (2 I)2 /2 r

F2 = 0 4 I2

/2 r F2 = 4 F1

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A

Electric field is zero throughout a sphere

P

C

Electric field is zero throughout a sphere, all electric charge is on thesurface and the forces are in equilibrium, the sphere is atequipotential.

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A

V

Q1

Q2

Q3

The charge on each capacitor depends on itscapacitance, but the potential difference across each

is the same.

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B

R1 = L1 /A1 = L1 /r1 2

R2 = L1 /A2 = L1 / (r1 /2)2

R2 = L1 /( (r1 /2)2 ) = L1 /( (r12/4))

R2

= 4 L1

/ (r1

)

2 = 2 L1

/ r1

2 = 2 R1

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E

Efficiency = Pout/Pin x 100%

Eff = Fv/IV x 100%

Eff = 90 N x 0.5 m/s/(0.5 A x 120 V) x100%

Eff = 45/60 x 100% = 75 %

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D

+Q

-Q

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D

E =KQ/d2

E =KQ/d2

ER = ((KQ/d2)2 + (KQ/d2)2) = (2(KQ/d2 )2) =2 (KQ/d2)

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E

F = QE

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D Final Lplate = L0plateT

Final Lhole = L0holeT

Divide the two

Lplate/ Lhole = L0 plate/ L0hole1.01/ Lhole = 1.00/ 0.1Lhole = 1.01 x 0.1/1.00Lhole =0.101

0.101 m

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C

PV = nRT = 1/3 Nmv2

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B

F=R/2

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B

First three harmonics fundamental, firstovertone, and second overtone /2, ,

3/2

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A

When object is closer than the focal lengthof a converging lens then it acts as a

magnifying lens therefore the image isvirtual, upright, and magnified.

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C

v=f

= v/f = 3 x 108 / 100 x 106

3.0 m

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E

They both give rise to interference effects

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A

Slope = 25-5/4 = 5N/s

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C

Increase in momentum = impulse

mv = Ft = area under curve = 5 x 4 + x 20 x 4 = 60 N s

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E

mv = Ft

Increase t reduces F for the samechange in momentum

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B

125 N

250 N

500 N

F

F + 250 N = 500 N + 125 N

F = 625 250 N = 375 N

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B

125 N

250 N

500 N

F

Taking Torques about the left end

500 x d + 125 x 2 = 250 x 4

500d = 1000 250

D = 750/500 = 1.5 m

d

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A

Kmax = hf -

f

Kmax

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D

Current

(Amps)

Intensity P/A(W/m)

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C

Stable heavy nuclei have more neutrons Nthan protons Z to prevent electrostatic

repulsion between the protons so theanswer is Z < N.

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E

F = PA = gHA

Same H same A means same force

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A

Bernoullis Equation:

P + v2 + gh = a constant

If v increases pressure decreases for thesame height

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E Fnet = mg FBuoy 3.6 N = 4.5 N FBuoy F Buoy = 4.5 3.6 = 0.9 N

F Buoy = water g Vrock 0.9 N = 1000 x 10 x Vrock Vrock= 0.9 N / 1000 x 10 = 9 x 10

-5 m3 mg = rock g Vrock 4.5 N = rock10 x 9 x 10-5

rock = 4.5 N /(10 x 9 x 10-5) = 5000 kg/m3

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B Conservation of momentum

0 = mAvAf + mB vBf

0 = mA 5 m/s + mB (-2 m/s)

2 mB = 5 mA

2/5 = mA/mB

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A

10 N

30 N Cos 60. = 15 N

F net = 5 N

a =F/m = 5 N/ 10 kg = 0.5 m/s2

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42

B v = 2R/T

ac = v2/R = (2R/T)2/R = 42R2/(T2R) =

42R/(T2)

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E g1 = GM1 /R1

2

g2 = G2M1 /R12 = 2 g1

Tpendulum1 = 2(L/g1)

Tpendulum2 = 2(L/g2) = 2(L/2g1)

period is shorter by

Tspring = 2(m/K) not affected by gravity

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E Centripetal force is always directed to the

center of the circle

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D10 V

2 V

0.04 m

potential

difference= 8.0 V

P 0.01 m

P is quarter way up so potential isquarter way up = 4.0 V

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D E = V/d = 8.0 V/ 0.04 m = 200 V/m

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C

Magnetic field B from wire going intopage (Use right hand thumb rule)

Loop 2 is not changing magnetic fieldso no induced current emf = BA/t

Loop 1 is going in direction of reducedmagnetic field so direction of inducedcurrent will be such as to oppose thechange causing it. So needs more

magnetic field into the pageclockwise using right hand thumb rule

Loop 1

Loop 2

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D First find resistance of parallel circuit 1/RT

= 1/R1 +1/R2 = 1/ 2000 + 1/6000 = 3/6000

+ 1/6000 = 4/6000 so RT = 6000/4 = 1 500 Total circuit resistance = 2 500 + 1500 =

4 000 I = V/R = 12 V/ 4000 = 3/1000 =3milliAmps

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A Current I1 is greatest followed by I2

followed by I3

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E bent towards normal going in and away

from normal coming out

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E bent away from normal going in and

towards normal coming out

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A Doppler effect X traveling faster than truck

Y

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EPhase reversal

No Phase reversal

If thickness is equal to /4then waves will be back in

phase by the time thesecond wave reaches thetop therefore constructive

interference

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E 1/f = 1/si + 1/so

1/si = 1/f - 1/so 1/si = - 1/8 = 4/8 1/8 = 3/8

si = 8/3 = 2.7 cm

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D The image becomes dimmer

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D Q/t = KAT/L

Decrease q by decreasing A and T

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A U = Q + W = -16 -32 = -48 J lost to

surroundings

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E E = mc2

Change in mass goes to energy + initial

kinetic energy

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E 21482 Pb =

21483 X +

0-1

Numbers must be equal on both sides

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C Energy of one photon E = hf = hc/= 1.99

x 10-25/4 m = 0.5 x 10-25 = 5 x 10-26.

Number of photons in 50 000 Watts orJoules per second = 5 x 104/5 x 10-26

= 1 x 1030

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C velocity against time

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B Kinetic energy against time (K proportional

to v2)

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D m1 vi1 + m1 vi2 = m1 vf1 + m2 vf2 Mv-2Mv = 3Mvf v 2v = 3 vf -2v/3 = vf m1 vi1

2 - m2 vf22 = m1 vf1

2 + m1 vf22 + Klost

M v 2 + 2M v 2 = 3M1 (v/3) 2 + K 3/2 M v2 = 3 M v2/18 + K 3/2 M v2 = 1/6 M v2 + K 3/2 M v2 - 1/6 M v2 = K 9/6 M v2 1/6 M v2 = K

8/6 M v2 =K 4/3 M v2 =K

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D 6

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D Kinetic energy = electrical energy

K1 = QV

K2 = 2QV = 2 K1

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D Z is negative so electron would be

repelled.

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C Fc = Fg

msatellite v2/R = G MEarth msatellite/R

2

R = GM/v2

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E P =W/t = Fv/t = 900 N x 4 m/s/10s

P =3600 W

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C

E

x B+

Forcemagnetic =Force Electric

BQv = QE

v = E/B = 6/2 = 3m/s

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A E = KQ/R2

E = 9 x 109 x 4 x10 -6/ 2.02

E = 36 x 10 3/ 4.0 = 9 x 103 N/C

THE END

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