s much time does it take for the dog to run a distance of 10.0m

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1 ATTENTION: All Diviion I tudent, START HERE. All Diviion II tudent kip the firt 0 quetion, begin on #.. Of the following, which quantity i a vector? Energy (B) Ma Average peed (D) Temperature (E) Linear Momentum 6. In one year, there are approximately.5 0. Which of the following repreentation uing metric prefixe i equivalent to thi value?.5 k (B).5 M.5 G (D).5 m (E).5 p. A dog tart from ret and run in a traight line with a contant acceleration of.5m. How much time doe it take for the dog to run a ditance of 0.0m? 8.0 (B).0.8 (D).0 (E).. One mole of an ideal ga ha a temperature of 00 C. If thi ga fill the cloed container, what i the preure of the ga? 0.0 m volume of a (B) (D) (E) 0.8 Pa.06 Pa 8. Pa 0 Pa.8 0 Pa 5. Approximately how much would it cot to keep a 00 W light bulb lit continuouly for year at $0.0 a rate of? kw hr $ (B) $ 0 $ 00 (D) $ 000 (E) $ Diviion I only Diviion I only

2 6. A poitive point charge exert a force of magnitude F on a negative point charge placed a ditance x away. If the ditance between the two point charge i halved, what i the magnitude of the new force that the poitive point charge exert on the negative point charge? F (B) F F (D) F (E) F 7. Which of the following type of electromagnetic radiation ha the greatet energy per photon? infrared (B) microwave FM radio (D) AM radio (E) violet light 8. An object on an inclined plane ha a gravitational force of magnitude0 N acting on it from the Earth. Which of the following give the correct component of thi gravitational force for the coordinate axe hown in the figure? The y-axi i perpendicular to the incline urface while the x-axi i parallel to the inclined urface. (B) (D) (E) x-component y-component + 6 N 8 N + 8 N 6 N 6 N + 8 N 8 N + 6 N 0 N + 0 N 9. When a beam of white light pae through a prim, the exiting light i een a a pectrum of viible color. Thi phenomenon i known a diffraction. (B) diperion. interference. (D) polarization. (E) reflection. 0. Which of the following could be a correct unit for preure? kg m (B) kg m kg kg (D) m (E) m kg ATTENTION: All Diviion I tudent, turn page and continue through quetion 0. Diviion I only Diviion I only

ATTENTION: All Diviion II tudent, START HERE. Number -0 on your anwer heet hould be blank. Your firt anwer hould be for #.. Which peron ha won a Nobel Prize in phyic?

3 ATTENTION: All Diviion II tudent, START HERE. Number -0 on your anwer heet hould be blank. Your firt anwer hould be for #.. Which peron ha won a Nobel Prize in phyic? Marie Curie (B) Iaac Newton Aritotle (D) Johanne Kepler (E) Stephen Hawking. What i the average angular peed of the econd hand on a clock (in rad/)? 6. 8 (B) (D).75 0 (E) What i the ideal mechanical advantage for the pulley ytem hown to the right? F (B) Mg Mg F (D) (E) 5 Quetion and 5 refer to the following cenario: A particle continuouly move in a circular path at contant peed in a counterclockwie direction. Conider a time interval during which the particle move along thi circular path from point P to point Q. Point Q i exactly half-way around the circle from Point P.. What i the direction of the average velocity during thi time interval? (B) (D) (E) The average velocity i zero. 5. What i the direction of the average acceleration during thi time interval? (B) (D) (E) The average acceleration i zero. 6. A block i connected to a light tring attached to the bottom of a large container of water. The tenion in the tring i.0 N. The gravitational force from the earth on the block i 5.0 N. What i the block volume? (B).0 0 m (D).0 0 m (E) m m.0 0 m Diviion I & II Diviion I & II

4 7. An ideal red pigment i mixed with an ideal blue pigment. After mixing, what color pigment reult? cyan (B) magenta yellow (D) green (E) black 8. A car i moving to the left at 0m while a truck i moving to the right at 5 m. If the truck emit a ound of frequency 5000 Hz, what i the perceived frequency of the ound by the driver of the car? Aume the vehicle are moving directly away from each other on a 0.0 C day. 8 Hz (B) 706 Hz 9 Hz (D) 5079 Hz (E) 57 Hz 9. Kepler Second Law about weeping out equal area in equal time can be derived mot directly from which conervation law? energy (B) angular momentum linear momentum (D) mechanical energy (E) ma 0. A peron puhe a block of ma M = 6. 0kg with a contant peed of.0 m 5 traight up a flat urface inclined0.0 above the horizontal. The coefficient of kinetic friction between the block and the urface i µ = What i the net force acting on the block? 0 N (B) N 0 N (D) 5 N (E) 76 N. Modern telecope ue mirror, rather than lene, to form image. One advantage of mirror over lene i that the image formed by mirror are not affected by: detructive interference (B) contructive interference chromatic aberration (D) pherical aberration (E) atmopheric refraction. In a calorimeter, 0 gram of liquid water at 00 C i mixed with 50 gram of water vapor at 00 C. The ytem i allowed to come to equilibrium. Auming that the calorimeter and the urrounding can be ignored, which of the following bet decribe the net energy exchange between the vapor and the liquid during the proce of coming to equilibrium? There i no net energy exchange. (B) Energy i tranferred from the vapor to the liquid, vaporizing ome of the liquid. Energy i tranferred from the vapor to the liquid, increaing the liquid temperature. (D) Energy i tranferred from the vapor to the liquid until all of the liquid vaporize. (E) Energy i tranferred from the liquid to the vapor, condening ome vapor. Diviion I & II Diviion I & II

5 Quetion and refer to the following cenario: The velocity v. time graph for the motion of a car on a traight track i hown in the diagram. The thick line repreent the velocity. Aume that the car tart at the origin x = 0.. At which time i the car the greatet ditance from the origin? t = 0 (B) t = 6 t = 5 (D) t = (E) t = 0. What i the average peed of the car for the 0 econd interval?.0 m (B).0 m.0 m (D) 5.00 m (E) 5.0 m 9 A 5. The following nuclear reaction occur: He+ Be 6 C+ Z X. What i X A Z? a proton (B) an electron a poitron (D) an alpha particle (E) a neutron 6. If the principal quantum number of an electron i n =, how many poible value of the orbital magnetic quantum number m are there for thi electron? l (B) 7 (D) 9 (E) 6 7. A tube of length L i open at both end. A econd tube of length L i cloed at one end and open at the other end. Thi econd tube reonate at the ame fundamental frequency a the firt tube. What i the value of L? L (B) L L (D) L (E) L Diviion I & II 5 Diviion I & II

6 8. A diverging len produce an image of a real object. Thi image i virtual, larger than the object, and upright. (B) virtual, maller than the object, and upright. virtual, maller than the object, and inverted. (D) real, maller than the object, and inverted. (E) real, larger than the object, and inverted. 9. A trong bar magnet i held very cloe to the opening of a olenoid a hown in the diagram. A the magnet i moved away from the olenoid at contant peed, what i the direction of conventional current through the reitor hown and what i the direction of the force on the magnet becaue of the induced current? Current through reitor Force on Magnet From A to B To the left (B) From B to A To the left From A to B To the right (D) From B to A To the right (E) No current To the right 0. A light beam pae through the air and trike the urface of a platic block. Which pair of tatement correctly decribe the phae change for the reflected wave and the tranmitted wave? Reflected wave Tranmitted wave (B) No phae change 80 No phae change No phae change (D) (E) 80 No phae change. For the circuit hown, ξ = 6.0 V, R = 7. 0Ω, R =. 0Ω, R = 6. 0Ω, and R =. 0Ω. After operating for a long time, equilibrium i etablihed. What i the voltage acro the capacitor at equilibrium? 6.0 V (B). V.0 V (D). V (E) 0. V. On February 0, 008, there wa a total lunar eclipe. What wa the phae of the Moon during the eclipe? New Moon (B) Full Moon Dark Moon (D) Lat Quarter (E) Firt Quarter Diviion I & II 6 Diviion I & II

7 Quetion and refer to the following cenario: Two point charge are fixed on the x-axi in otherwie empty pace a hown below.. In which Region() i there a place on the x-axi (aide from infinity) at which the electric potential i equal to zero? Only in Region II (B) Only in Region III In both Region I and II (D) In both Region I and III (E) In both Region II and III. In which Region() i there a place on the x-axi (aide from infinity) at which the electric field i equal to zero? Only in Region II (B) Only in Region III In both Region I and II (D) In both Region I and III (E) In both Region II and III 5. Atronaut on the Moon perform an experiment with a imple pendulum that i releaed from the horizontal poition at ret. At the moment hown in the diagram with 0 < θ < 90, the total acceleration of the ma may be directed in which of the following way? traight to the right (B) traight to the left traight upward (D) traight downward (E) traight along the connecting tring toward point P (the pivot) 6. An electron move in the plane of the page through two region of pace along the dotted-line trajectory hown in the figure. There i a uniform electric field in Region I directed into the plane of the page (a hown). There i no electric field in Region II. What i a neceary direction of the magnetic field in region I and II? Ignore gravitational force. Region I Region II Down the plane of the page Up the plane of the page (B) Up the plane of the page Into the plane of the page Up the plane of the page Out of the plane of the page (D) Down the plane of the page Out of the plane of the page (E) Into the plane of the page Up the plane of the page Diviion I & II 7 Diviion I & II

8 7. A uniform meter tick ha a 5.0 g ma placed at the 0cm mark a hown in the figure. If a pivot i placed at the.5cm mark and the meter tick remain horizontal in tatic equilibrium, what i the ma of the meter tick? 8.0 g (B) 5.0 g 7.0 g (D) 0.0 g (E) 5.0 g 8. A 00kg atellite orbit Planet X in a circular orbit with a contant peed of m. The radiu of orbit i m. What i the magnitude of the gravitational force exerted on the atellite by Planet X? 00 N (B) 00 N N (D) 0.07 N (E) More information i required to anwer thi quetion. 9. An ideal ga i encloed in a container. The volume of the container i reduced to half the original volume at contant temperature. According to kinetic theory, what i the bet explanation for the increae in preure created by the ga? The average peed of the ga particle decreae, but they hit the container wall more frequently. (B) The average peed of the ga particle i unchanged, but they hit the container wall more frequently. The average peed of the ga particle increae a doe the frequency with which they hit the container wall. (D) The average peed of the ga particle increae, overcoming the decreaed frequency that they hit the container wall. (E) The internal energy of the ga increae. 0. A point particle of ma m collide with a thin rod pivoted at one end. The rod ha ma M = m, length L, and moment of inertia I = ML. The particle move horizontally with peed V when it hit the bottom of the rod and tick to it. What i the peed of the particle immediately after colliion? V (B) V V 5 (D) V (E) V IMPORTANT: All Diviion I tudent STOP HERE. Your lat anwer hould be number 0. Number -50 hould remain blank for Diviion I tudent. All Diviion II tudent continue to Quetion 50. Diviion I & II 8 Diviion I & II

9 ATTENTION: All Diviion I tudent, STOP HERE. All Diviion II tudent, continue to quetion 50.. The circuit hown ha been operating for a long time. The intant after the witch in the circuit labeled S i opened, what i the voltage acro the inductor VL and which labeled point (A or B) of the inductor i at a higher potential? Take R =. 0Ω, R = 8. 0Ω, and L =. 5 H. V L = 0 V ; Point A and B are at equal potential. (B) V L = V ; Point A i at the higher potential. V L = V ; Point B i at the higher potential. (D) V L = 6 V ; Point A i at the higher potential. (E) V L = 6 V ; Point B i at the higher potential.. A parallel-plate capacitor i connected to a battery. Without diconnecting the capacitor, a tudent pull the capacitor plate apart o that the plate eparation double. A a reult of thi action, what happen to the voltage acro the capacitor and the energy tored by the capacitor? the voltage double; (B) the voltage halve; the voltage double; (D) the voltage tay the ame; (E) the voltage tay the ame; the energy tay the ame the energy double the energy halve the energy halve the energy double. Unpolarized light of intenity I 0 enter a polarizer-analyzer ytem in which the angle between the tranmiion axe of the polarizer and analyzer i 0. What i the intenity of the light leaving the analyzer? I 8 0 (B) I 8 0 I 0 (D) I 0 (E) I 0. A mole of a monatomic ideal ga ha preure P, volume V, and temperature T. Which of the following procee would reult in the greatet amount of energy added to the ga from heat? A proce doubling the temperature at contant preure. (B) An adiabatic free expanion doubling the volume. A proce doubling the preure at contant volume. (D) An adiabatic expanion doubling the volume. (E) A proce doubling the volume at contant temperature. 5. Electron # move with peed 0.0c where c i the peed of light. Electron # move with peed 0.60c. What i the ratio of the kinetic energy of electron # to electron #?.9 (B)..00 (D).00 (E) 5.8 Diviion II only 9 Diviion II only

10 6. A traveling wave ha the form y( x, t).0in(.5 x 5. 0t) = where all quantitie given are in MKS unit, x i poition, and t repreent time. What i the period of the wave (in econd)?. 00 (B) (D) 0. 6 (E) A radioactive ample decay with a half-life of.0 yr. Approximately how much time mut pa o that only of the original ample remain? 6.0 yr (B). yr. yr (D).0 yr (E).8 yr 8. A block of ma M on a horizontal urface i connected to the end of a male pring of pring contant k. The block i pulled a ditance x from equilibrium and when releaed from ret, the block move toward equilibrium. What minimum coefficient of kinetic friction between the urface and the block would prevent the block from returning to equilibrium with non-zero peed? kx Mg kx (B) Mg kx Mg (D) Mg kx (E) k Mgx 9. A circuit conit of a reitor, capacitor, and inductor connected in erie to an AC ource. A the ource frequency increae, the current in the circuit decreae. Which tatement about the circuit i NOT correct a the ource frequency increae? The impedance of the circuit increae. (B) The circuit i aid to become more capacitive than inductive. The phae angle for the circuit become more poitive. (D) The inductive reactance increae. (E) The total power from the ource decreae. 50. An infinitely long olenoid pae through the circuit a hown. The magnetic field of the olenoid, directed into the plane of the page, i weakening which produce a contant emf of magnitude ξ for a cloed loop around the outide of the olenoid. Once equilibrium i etablihed in thi circuit, what i the voltage acro the witch S? 0 (B) ξ ξ (D) ξ (E) ξ Diviion II only 0 Diviion II only

2008 Physics Bowl Solutions

2008 Physics Bowl Solutions 8 Phyic Bowl Solution # An # An # An # An # An E A C D 4 E B B A B 4 D C D C E 4 A 4 D 4 B 4 D 4 B 44 A 5 C 5 D 5 E 5 A 45 E 6 A 6 D 6 C 6 C 46 B 7 E 7 E 7 D 7 E 47 C 8 A 8 A 8 B 8 A 48 C 9 B 9 B 9 C 9