1 2 U CV. K dq I dt J nqv d J V IR P VI
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1 o 5 o T C T F 9 T K T o C 7.5 L L T V VT Q mct nct Q F V ml F V dq A H k TH TC dt L pv nt Kt nt CV ideal monatomic gas 5 CV ideal diatomic gas w/o vibation V W pdv V U Q W W Q e Q Q e Canot H C T T S C dq T H H S k ln w 8.4 J mol K N A 6. molecules mole atm = 5 N / (m ) /4πε = 8.99 x 9 Nm /C e = -.6 x -9 C qq F ˆ q 4 qenc da V V dl b a U q V b a ˆ V ˆ i j V kˆ V x y z Q CV seies C C C C eq Ceq C C C paallel U CV u K dq I dt J nqv d J V I P VI eq seies paallel eq q C e t C chaging q Qe t C dischaging F qv B B BdA df Idl B B, NIA U B ˆ qv B 4 ˆ Idl db 4 B dl i i C D d dl dt B
2 d id dt di di M and M dt dt NB NB M i i di L, dt N B L i U LI u B, di t e L dt L LC IMS I fo i I cos t VMS V fo v V cos t V I V IX, whee X L L L L V IX, whee X C C C C V IZ, whee Z X L X C PAvg VI cos, Ns Vs Vp N p C 8.85 x Nm µ 7 4 T m / A X tan L X C
3 Physics 6- Sping 4 Final xam Name: Box# ) Heat is added to a 6 kg piece of ice at a ate of 5 kw. How long will it take fo the ice to melt if it was initially at -. C? (The heat capacity of ice is. kj/kg/k, the latent heat of fusion fo wate is 4 kj/kg and its latent heat of vapoization is 6 kj/kg.) A) s B) 5 s C) 6 s D) 8 s ) 95 s F) s G) s H) 55 s I) 7 s J) 9 s ) Conside a monatomic ideal gas taken aound the themodynamic cycle shown, tavesed in the clockwise diection. This cycle is: A) a efigeato B) an engine C) neithe D) need moe infomation to detemine N/m ) Along which path segment(s) is wok done on the gas? A) AB B) BC C) CA D) AB & BC ) AB & CA F) BC & CA..4
4 4) Along which path segment(s) is heat added to the gas? A) AB B) BC C) CA D) AB & BC ) AB & CA F) BC & CA N/m..4 5) What is the magnitude of the wok along path segment AB? A). J B).4 J C). J D). J ).4 J F). J G). J H).4 J I) 4. J J) 5. J 6) To the neaest Pascal (N/m ), what is the pessue at C? A) Pa B) Pa C) Pa D) 4 Pa ) 5 Pa F) 6 Pa G) 7 Pa H) 8 Pa I) 9 Pa J) Pa 7) If the tempeatue of the gas at A is K, what is the tempeatue at B? A) 4 K B) 5 K C) 6 K D) 7 K ) 8 K F) 9 K G) K H) K I) K J) 4 K
5 8) Heat is added to some unknown gas. The amount that the aveage molecula kinetic enegy inceases depends upon: A) if the volume changes. B) if the pessue changes. C) if the gas is monatomic o diatomic. D) both A) and B) ) both A) and C) F) both B) and C) G) all thee (A, B and C) H) It doesn t depend on any A), B) o C). 9) What is the change in entopy of.6 moles of ideal monatomic gas that evesibly undegoes the isothemal expansion shown in the figue? The ideal gas constant is = 8.4 J/(mol K). A) 84 J/K B) 6.4 J/K C) 7.7 J/K D) 9.8 J/K ) J/K F). J/K G) 4.6 J/K H) 9. J/K I) 5 J/K J). J/K ) The magnitude of the electic field at point P, m fom a chage Q is 8.5 N/C. If a second chage of opposite sign but same magnitude is placed an equal distance away, at point P, what is the magnitude of the total electic field at P? A) N/C B) N/C C) 8.5 N/C D) 9 N/C ) 9.5 N/C F) N/C G).5 N/C H) N/C I).5 N/C J) N/C
6 ) The electic potential at point P fom a point chage Q is 4 V. If a second chage of opposite sign but same magnitude is placed an equal distance away, at point P, what is the new electic potential at point P? A). V B).8 V C) 4. V D) 5.6 V ) 6.8 V F) 7. V G) 8. V H) V I) V J) 6 V ) A cicula paallel plate capacito has plate aea. m and sepaation distance between the plates of mm. It is chaged with 4 nc. What is the electic field in the space between the capacito plates? A) V/m B) 4.5 x V/m C) 7. x V/m D). x 4 V/m ) 4.9 x 4 V/m F) 8.7 x 4 V/m G).9 x 5 V/m H).7 x 5 V/m I) 5.5 x 5 V/m J) 4.5 x 6 V/m ) If a C chage is eleased fom est in a egion whee the electic field is. x 4 V/m. What is its kinetic enegy afte it tavels a distance of mm? A) J B). x -5 J C). x -4 J D) 5.6 x - J ).7 x - J F) 8.9 x - J G). x - J H) 4.5 J I). x 6 J J) It depends upon the mass of the chage.
7 4) Conside the following two statements: a) lectic field lines can coss, and b) lectic field lines cul back on themselves. Classify these statements as tue o false. A) a) Always tue, b) Always tue B) a) Always tue, b) Always false C) a) Always tue, b) Sometimes tue D) a) Always false, b) Always tue ) a) Always false, b) Always false F) a) Always false, b) Sometimes tue G) a) Sometimes tue, b) Always tue H) a) Sometimes tue, b) Always false I) a) Sometimes tue, b) Sometimes tue 5) A non-conducting sphee of adius caies a unifom volume chage density. The electic field at distance < fom the cente of the sphee is given by: A) B) C) D) ) F) G) H) I) J)
8 6) A non-conducting sphee of adius caies a unifom volume chage density. The electic field at distance > fom the cente of the sphee is given by: A) B) C) D) ) F) G) H) I) J) 7) Suppose you have two point chages of the opposite sign. As you move them fathe and fathe apat, the potential enegy of this system A) inceases. B) deceases. C) stays the same.
9 8) The figue shows thee identical light bulbs connected to a battey having a constant voltage acoss its teminals. What happens to the bightness of light bulb when the switch S is closed? A) The bightness emains the same as befoe the switch is closed. B) The bightness deceases pemanently. C) The bightness will decease momentaily then etun to its pevious level. D) The bightness will incease momentaily then etun to its pevious level. ) The bightness inceases pemanently. 9) An electon moves with velocity v in a magnetic field B, the diections of v and B both lie in the plane of the pape and ae shown below. What is the diection of the magnetic foce on the electon? A) Into page. B) Out of page. C) Down, and to the ight. D) Into the page and to the left. ) Out of the page and to the left. F) Up and to the ight. G) In the same diection as v. H) In the same diections as B. I) Down and to the left. J) Up and to the left. v B
10 N ) An electic field is given by what is the magnitude of the potential at x= m? A) V B) V C) 4 V D) 6 V ) 8 V F) V G) V H) 4 V I) 6 V J) 8 V.5 x iˆ. If the potential is zeo at x =, Cm ) Whee is the potential highe in the pevious poblem? A) At x = m B) At x = m C) They have the same potential. D) It s elative. ) Use Ampee s law & symmety (not complicated integation) to find the magnitude of the magnetic field at the point P shown, to the neaest micotesla. I = A, and P is.5 cm above the vetex, in line with the incoming wie. A) T B) T C) T D) T ) 4 T F) 5 T G) 6 T H) 7 T I) 8 T J) 9 T
11 ) A.-μF capacito that is initially unchaged is connected in seies with a 8.- kω esisto and an ideal 4. V battey. How much enegy is stoed in the capacito 6 ms afte the battey has been connected? A). x -4 J B).6 x -4 J C) 4.6 x -4 J D). x - J ). x - J F).6 x - J G) 4.6 x - J H). x - J I).6 x - J J) 4.6 x - J 4) The figue shows two long, paallel cuent-caying wies. The wies cay equal cuents I = I = 6 A in the diections indicated and ae located a distance d =. m apat. Calculate the magnitude of the magnetic field at the point that is located an equal distance fom each wie. (μ = 4π -7 T m/a) A) 4. x -6 T B). x -5 T C) 5.5 x -5 T D) 7. x -5 T ). x -4 T F).4 x -4 T G) 5. x -4 T H) 7. x -4 T I) 9.8 x -4 T J). x - T
12 5) A lage numbe of vey long wies of diamete mm ae laid side-by-side to fom an infinite plane. If. A of cuent is passed though each wie (in the same diection), what is the magnitude of the magnetic field cm above the plane? A).6 x -5 T B). x -5 T C) 4. x -5 T D) 6. x -5 T ) 7. x -5 T F) 9.4 x -5 T G). x -4 T H). x -4 T I).6 x -4 T J). x -4 T Have a geat summe!
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