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2009f_4 - Physics 2101 Exam#4 Fall 2009 November 24 2009...

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Unformatted text preview: Physics 2101, Exam #4, Fall 2009 November 24 , 2009 fists/ill seem Name: W... _ H)#: Section: [Circle one) 1 {Chastaim MWF 8:40 AM) 4 (P1ummer.TTh 9:10] 2 [Chastaim MWF 10:40 AM] 5 (Adams, TTh 12:10) 3 (Rupnik, MWF 12:40 PM] ' Please be sure to write (print) your name and circle your section above. ' Please turn OFF your cell phone and MP3 player! - Feel free to detach, use, and keep the formula sheet. No other reference material is allowed during the exam. ° You may use either a scientific or a graphing calculator... 0 GOOD LUCK! 1. (Show your work) Planet X has amass of 5.0 x 1024 kg, a radius of 4 x 106 m, and no atmosphere. Calculate the following quantities for a projectile launched vertically from its surface with an initial speed of 5000 m/s. (A) (I Opts) The speed of the projectile when it reaches a N\height of l 0 x 105 m above the .. 1L surface? grown {A «lg-K“- Mitt Kl’" MR fig +1; NULL 2: A Mm §_ L1m0§ m TIE + 51"” U: 1W:\\,¢V\*fl&v¥fi _ 35+ RA“: 211 _ 1- 1:2. as . .... ”’3 5x10 1 H_ (She éb‘) mg. +(gofig EQENQ 3 é£?:s1o 2. NV“? AmEQ $12 we ' Wt _ (B) (Spts) What' IS the escape velocity of the gi'oiegile from the sur ace of Planet X? .1. 013$! Q J New) Emma “m +16 Mziifi '22 C) r4139” WW); *3 \1 - issscfi Vt it 577%; 15x 1oit 1113/3 W (1th Sui/SW0 5'1, NOE"! 2. (Spts) Kepler 3 second law of planetary motion states thatfifi the area swept out by a line connecting the planet to the sun is a constant in time, det‘ — constant. This statement is equivalent to which of the foIiowing conservation laws? (a) Conservation of Mechanical Energy {9 % L (1)) Conservation of Linear Momentum i : 0) Conservation of Kinetic Energy E) j 1m ((1) onservation of Angular Momentum T e All ofthe above. 3. (Show your work). In the figure below, a 2 kg cube of aluminum 1s suspended by a _ ' rope tied to a balloon which IS floating on a fluid of den51ty 1.5 x 103 kg/ma. Assume the balloon has negligible mass. ( pm = 2 .7 x 103 kglm3) (A) (5pts) What is the tension in the rope? mg: Vxlé X19 Kb/ms To M3 13 M3 mm \{= 9443: 3.72 gs. cont-inti‘img Tia-‘1"??? see - law .1 “’3 We“ WW ulmsz N (B) (Spts) What voiume of the balloon is submerged? 301%):st ., .3 z 31 ________ 5©15€i7KiQBW 4. The fimction x = (2 m) cos[(0.3331r rad/sjt + m’4 fad] gives the simpie harmonic motion of a body. (A) (Spts) What is the . (211.1...360 (1)) 0.25 set?" C . see (c!) 0.05 see i (e) it is never at x = I. . (B) (Spts) What is maximum acceleration of the body? l. (@955 m/s2 0%: (Q (A): '2. (1\<%3 - Cit»? 2‘5 W . a Q; €é§fie 5. Theequation of a certain transverse wave on a long string is given by y(x,t) = (0.1 m)sin(2.7tx «6911), where x is in units of meters and t is in seconds. The tension in the string is 20 N. V a Y” 3‘ M LQLX - Wt} A) (Spts) What is the speed of the wave? U :2. kg“ .3: 5i.- _—_ 3 a 2.1% (a) zero, it is a standing wave (b 4 m/s @ (d) 0.25 m/s (e) 0.} mfs M B) (Spts) What is the linear density of the string? \1 ..... kri— ___, “29 3-; i 'Cfb)2.2kg/m> P322; hi (0). m m (d) 0.5 kg/m (e) the string must be massless C) (Spts) What is the maximum transverse speed of a point on thestring? V(a_)zero IVM: my?“ :(QABQW 5:6ng _ (b) 0.1:: m (e) none of the above 6. A rope of length 2 m has a transverse n = 5 standing wave of frequency 30 Hz propagating on it. (A) (Spts) What IS the speed of the interferingV waves on the rope? $256,323 _ ?2:: ngg? V-- if??? 531% if 35-35: -.:-. m (B) (Spts) By what factor would the tension in the rope have to be increased in order that the n :5 mode have a frequency of 60 Hz? een‘x/wa’ (a)1 ewe/aw we“ 63:? _ 7 V 1L 23— t) ~(c)4 i ~ . (e) 100 7. (Spts) A physical pendulum consists of a 0.5 m rod of negligible mass that is connected . to the center of mass of a 5 kg irregularly shaped object on one end and connected to a pivot on the other end. When the pendulum is set into motion it is observed to oscillated at a fiequency 0.6 Hz. What is the moment of inertia of the pendulum? (a) 5.1 kg-mz ”(glass 7 2 8. (Spts) If two objects are in therrnai equilibrium, then which of the following statemlents: must be true? C1”: r73 (a The musthaXe the same Wintem 1 energy ,) They must have the same tempegaltar-setsw7 msgaw- I 'cTTfi‘ey thirst have tEWW esame heat capacity (d) They must have the same mass. (e) None of the above. 9. (Show your work) Gas within a chamber passes through the cycle shown in the figure. The BC leg is an expansion where no heat is transferred. CA is a compression at constant pressure and AB is pressurization at a constant volume. For this specific case the heat added in AB is QAB= 20.0 J, and the total work done in the cycle is i1 5 J. (A) (Spts) Is the total work done in the cycle positive or negative, explain? (tract: miss go gr llEQ; Pressure (B) (Spts) How much work is done in going from A to B? 0 News Awe Volume (C) (I Opts) Determine the energy transferred in going from C to A. fire/357% lies r ism» me a: Q SQ CP/Ae‘l‘QeQO: WAfi‘VWRC JFWCA 2®+o+szl§i ...k,_i,mn=:-—«.- xm.ss-.mm:mwm _ 10. (Spts) How much heat energy 'i's'requi ed to turn 0.3 kg of water at 20 “C into steam at 100 0C? _ 6.2;! trifle {2% :1 0° C “.3; merge l or; it. (a)3.0‘x106.i .. m. .. f; 00326 m (b) 2.2x 10:; q e;- C m A\ .1. Qil‘gOEQaS) T0 i ) 0 meme m: 390°? mews . t. 51.... , .._ '4’ i 2‘: , 7NOQ q) .2. Mm “02,154 We %](O:3l<§§ £7 e a“ '1'“ )7.3x105J " ...
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