Page 2 of 8 PHYS 201 Final Exam Formula Sheet You may need some of the constants and formulas below when writing this examination. NA = 6.02 x 1023 mol-1 F = -kx Q1Q2 F = ke 12 = R 8.314 J/mol K PE=kx Q k = 1.38 x 10-23 J/K x = A cos wt E = ke 12 w = 2f T = 2m/k Q 5.67 x 10" W/m K+ g=9.80 m/s ke 9.0 x 10 N m/C2 = 0 = 8.85 x 10-12 C/N-m e 1.60 x 10-19 C me 9.11 x 10-31 kg 1 u 1.6605 10-27 1 atm = T = 2n17g T(K) T(C) + 273.15 = T(F) = T (C) + 32 L = Lo(1+AT) kg AV = BV AT 1.013 105 N/m 1 cal = 4.186 J 1 L = 0.001 m v = vo + at x = x0 + vot + at v2v+2a(x - xo) KE=mv PV = nRT PV = NkT KE = =mv = 3kT 3 U= nRT Q = mc AT Q = mL T-T = kA l Q = AT4 t For water: Cwater 1.00 cal/g. Co Cice 0.50 cal/g-C Csteam 0.48 cal/g-C Lfusion 79.7 cal/g Lvaporization 539 cal/g AU = Q-W W = PAV W = QH - QL W eideal = 1 Qu Q - T TH FE V = ke = APE qVbaq (Vb - Va) Vba = -Ed C = 0 Q = CV A PE = QV At V = IR L R = p PA Pr Po[1 + a(T-To)] P=IV 12R Vab = - IR Rs R+R+... = R2 1 1 + + Rp R Rz 1 1 1 + + Cs C1 C2 Cp = C + Cz + V = (1-e-/RC) Ve=Ve-1/RC phys201-rev5-final-sample AS T 0121 Page 3 of 8 PHYS 201 Introductory Physics II Final Examination Sample Read every question carefully and indicate the best answer among the five choices. Partial credit is not given for questions in this examination. 1. If the mass of a simple pendulum is doubled, its period of oscillation 2. a) increases by a factor of 2. b) decreases by a factor of 2. c) increases by a factor of 2. d) decreases by a factor of 2. e) does not change. A block of mass m and a sphere of mass 3m are connected by a light cord and suspended from a spring, as shown in the diagram. Immediately after the cord is cut, the block experiences an acceleration whose magnitude is equal to a) 4g 3. b) 3g c) 2g d) g e) zero. m 3m A cubic container of side length 20 cm is filled with ideal gas at 230F. If each side of the cube experiences a net force of 8.6 kN, the number of moles of the gas inside the container is equal to a) 0.33 mol b) 0.41 mol c) 0.54 mol d) 0.90 mol e) 1.9 mol 4. The minimum amount of steam at 200C required to melt 500 g of ice at 0C is equal to a) 54 g b) 58 g c) 62 g d) 68 g e) 74 g phys201-rev5-final-sample 0121 Page 4 of 8 5. You place a glass saucepan containing 630 g of water on a hot surface. The bottom of the saucepan has a diameter of 20 cm and is 3.0-mm thick. You observe that it takes 10 s for the water temperature to increase from 80C to 81C. Neglect the specific heat of the glass and assume no heat is transferred from the water to the environment. The temperature of the hot surface is equal to [kgles =0.84 J/s-m-C"] a) 83C 6. 7. 8. b) 85C c) 87C d) 110C e) 150C A Carnot heat engine uses a steam boiler at 100C as the high temperature reservoir. The low temperature reservoir is the outside environment at 24C. Energy is exhausted to the environment at a rate of 15 W. The amount of steam expected to condense in the steam boiler after one hour of operation is equal to a) 30 g b) 100 g c) 130 g d) 200 g e) 420 g Two charged particles experience repulsive electric force of magnitude F. If each charge is reduced to one-half its original value and the distance between the particles is doubled, the force on each particle becomes a) F b) F/2 c) F/4 d) F/8 e) F/16 Two point-charges, Q and -4Q, are placed a distance r apart, as shown in the diagram. The net electric field due to the two charges is equal to zero at a) point a. b) point b. c) point c. a d) point d. e) point e. phys201-rev5-final-sample + | Q -4Q b c d T r r 0121 9. Page 5 of 8 Three charges (Q1=-20.0 nC, Q2 = +4.00 nC, Q3 = -16.0 nC) are fixed at the corners of a 4.00 m 2.00 m rectangle, as shown in the diagram. The magnitude and direction of the net electric field at the fourth corner (point P) is described as a) 9.00 N/C, 26.6 above the horizontal b) 9.00 N/C, 26.6 below the horizontal Q Q2 c) 17.8 N/C, 16.3 above the horizontal d) 17.8 N/C, 16.3 below the horizontal 2 m 4m Q3 P e) zero. 10. In an evacuated chamber, a particle of mass 1.0 g and charge -5.0 C is released from rest 60 cm above a horizontal wooden surface. The space inside the chamber has a uniform horizontal electric field of magnitude 3.3 kN/C, as shown in the diagram. The particle hits the surface after travelling a horizontal distance (x) equal to a) 0.41 m b) 0.50 m c) 0.60 m d) 1.0 m e) 2.0 m 11. E 60 cm An electron moves at an initial speed of v = 2.0 106 m/s and enters the region between two parallel plates through a small hole, as shown in the diagram. The electron travels from the plate of lower potential to the plate of higher potential, where AV = 5.0 V. The final speed (vf) of the electron as it exists the region between the plates is equal to a) 2.7 106 m/s b) 2.4 106 m/s AV c) 1.5 106 m/s Vi Vf d) 1.3 106 m/s e) zero. 12. Consider the charge arrangement shown in the diagram. The minimum work required to move an electron from point A to point B is equal to [17] +15 mC a) 3.5 nJ T b) 2.9 nJ 7.5 cm 18 cm- c) 1.8 nJ d) 1.1 nJ e) zero. A B 7.5 cm -15mC phys201-rev5-final-sample 0121 Page 6 of 8 13. 14. An alpha particle of charge +2e is emitted from a far distance and travels toward a fixed gold nucleus of charge +79e. If the distance of closest approach is 46 fm, the initial kinetic energy of the alpha particle is equal to a) 2.5 MeV b) 3.5 MeV c) 4.9 MeV d) 7.9 MeV e) 9.9 MeV A parallel-plate capacitor consists of two square metallic sheets of side length 10 cm, with the gap between them filled with Teflon (K=2.1). If the capacitor carries a charge of 1.6 nC, the electric field in the gap between the sheets is equal to a) 2.7 kN/C b) 4.3 kN/C 15. c) 8.6 kN/C d) 18 kN/C e) 38 kN/C An isolated parallel-plate capacitor stores 100 J of electric energy. If the charge on the plates is doubled and their separation is also doubled, the stored energy becomes a) 25 J b) 50 J c) 200 J d) 400 J e) 800 J 16. 17. A unit of one ampere is equivalent to a) C/s b) C's c) 1 V/s d) 1 V's e) V.Q A 60-W light bulb is connected to 120-V power supply as shown in the diagram. The tungsten filament inside the bulb has a cross-sectional diameter of 0.046 mm. If the filament wire has operating resistivity of 7.0 x10 m, its length is equal to a) 1.9 cm b) 18 cm c) 57 cm d) 72 cm e) 230 cm phys201-rev5-final-sample 60 W 120 V 0121 Page 7 of 8 18. A copper wire has a resistance of 8.0 Q2 at room temperature of 20C, while the resistance of a tungsten wire measures 9.0 2 at the same temperature. When placed in a different environment, the two wire have equal resistance. The temperature of the new environment is equal to [acopper -0.0068 (C), ungsten -0.0045 (C)] a) 22C b) 30C c) 52C 19. d) 72C e) 92C A straight copper wire, of cross-sectional diameter 0.254 mm, connects between two points in an electric device. The copper wire is replaced by a straight Nichrome wire of the same length and resistance. The cross-sectional diameter of the Nichrome wire is equal to [PNichrome 1.00106 Q2 m, pcopper = 1.68108 Q2-m] a) 0.0329 mm b) 0.0661 mm c) 0.510 mm d) 1.96 mm e) 15.1 mm 20. Three identical resistors are connected to a battery and an ammeter as shown in the diagram. The ammeter measure 600 mA and the middle resistor dissipates 72 J of energy per minute. The battery's voltage (AV) is equal to a) 0.67 V b) 2.0 V c) 6.0 V d) 18 V e) 27 V 21. A R R AVT Each of the five resistors shown in the diagram has a resistance of 8.0 2. If the battery provides a voltage of 3.0 V, the ammeter reads a) 75 mA b) 110 mA c) 160 mA d) 310 mA e) 600 mA phys201-rev5-final-sample A 3V L www 0121 22. Page 8 of 8 Consider the circuit shown in the diagram. The power dissipated through the 10-2 resistor is equal to 40 ww 25 2.0 V 102 402 3.0 V Consider the RC circuit shown in the diagram. The time constant of the circuit is equal to a) 0.10 W b) 0.30 W c) 0.40 W d) 0.55 W e) 0.90 W 23. a) 9.0 s b) 38 s c) 48 s d) 110 s e) 200 s 24. 150 600 F 100 k 200 F 12 V Consider the circuit shown in the diagram, where the switch was closed long time ago. The amount of charge on the capacitor is equal to a) 3.0 mC b) 6.0 mC c) 9.0 mC d) 12 mC e) 18 mC 25. ww www 1092 30 20 24 V S 500 F In the circuit shown in the diagram, the ammeter reads a) 0.10 A b) 0.25 A c) 0.50 A d) 0.60 A e) 0.75 A www 6.02 A 10 V www 12 V 15 10 www phys201-rev5-final-sample 0121