ACE Engineering Academy
|
|
- Kristin Hopkins
- 5 years ago
- Views:
Transcription
1 TEST ID: 0 ACE Engineeing Acadey Hydeabad Deli Bpal une Bubaneswa Bengaluu Lucknw atna Cennai ijayawada isakapatna Tiupati Kukatpally Klkata H.O: 0, II Fl, Raan laza, Opp. Metdist Scl, Abids, Hydeabad 50000, : 00-8, 00-9, 00-0, ESE- 08 (elis) - Offline Test Seies MECHANICAL ENGINEERING Test- SUBJECT: FLUID MECHANICS & TURBO MACHINERY - SOLUTIONS 0. Ans: (b) 0. Ans: (b) F te tp tube cntaining alcl, ka + (0.9)(0)(.) 0.7 ka ( B ) abs ( A ) abs S, ( A ) gauge ( A ) abs ( at ) W istn il 0 c 0 () () ka Again, F te U-tube, we can wite ( B ) abs (y + ).60 0 ( B ) abs + 9y O, , 0.. c 7 Wit pistn alne, let pessue n te pistn Te anetic equatin gives, il sin () Wit weigt added, pessue inceases t wee W A wee, A is pistn aea and anetic equatin beces 0.0sin () il Subtact equatin () f equatin () il 0.0 sin 0 0 Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
2 : : ME _ Test _Slutins, W A il 0.sin 0, W A il N Ans: (b) Te capillay ise in a glass tube is given by, s d c Ans: (a) d C.G d/ 05. Ans: (a) F an ideal gas, RT T RT Te dept f cente f pessue But A C I, c abut centid Ten, I, A. d C c adius f gyatin f plate 0.d (given) d 0.d d d 0.66d 8 d d 0.d (appiately), T, cefficient f cpessibility f an ideal gas,. Als, O, / / Tus, At 0 at: At 000 at : 06. Ans: (d) F F Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata 0 0 0% H w. 5 w. 5 Rati F F H.5.5 w w 0.%
3 : : ESE - 08 (elis) Offline Test Seies 07. Ans: (c).5 Ttal weigt f te aangeent ( ) kn 000 kn lue f sea wate displaced, and, dept f iesin, d.5 80 Distance f cente f buyancy (B) f te base pint O, OB d.5 Let M be te etacente, ten I 0 8 BM Te etacentic eigt, GM BM BG BM (OG OB). (.5.5) Ans: (a).5 M G B a W 750kg/. b S.G.0.9 O Let te diensin f te blck be a and b and, its widt be l. Weigt f te blck Buyant fce abl al , wee is dept f iesin. 750b 900 lue f blck wic is subeged, s a l Ttal vlue f te blck a b l lue f blck wic is nt subeged a b l a l 750 ab 50 a b l ab % f vlue f blck wic is nt subeged, is ab 50/ % ab Ans: (b) Weigt f filled up balln + weigt f equipent + weigt f aiu allwable lad Buyant fce R 0.6 g 50 g Lad g R Lad R. 06 O, kg. g F B Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
4 : : ME _ Test _Slutins 0. Ans: (d) Buyant fce, F B F cpletely iesed bjected F B S, stateent is FALSE. F R A Fist case: L and A LL L L FR L L Secnd case: L L L and A LL FR L L L L. Ans: (b) F te given stea functin + y u and v y S, u v 6 7 / s. /s y Stateent () is cect. v u y, 0 0 z Flw is tatinal. Stateent (), is wng. Since, u 0. S, tee is n stagnatin pint Stateent () is cect. Tus, F R F R S, stateent is CORRECT. p S, stateent is FALSE. Ans: (c) We knw tat a tan g a z dp g valid f bt incpessible dz and s stateent is CORRECT. Z 60 c a. Ans: (a) Te sap bubble will ave te geate pessue because tee ae tw sufaces (tw suface tensin fces) ceating te pessue witin te bubble. Te cect cice is (a). Te aiu vetical ise f te fee suface ccus at te back f te tank. Z a D D0 c tan c Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
5 : 5 : ESE - 08 (elis) Offline Test Seies Teefe, te aiu initial wate eigt in te tank t avid spilling is a c. Ans: (b) Nal acceleatin, a N g (given) R S, gr /s 5. Ans: (b) It is knwn f te tajecty f te jet tat t wee is te velcity f jet at te ifice F te given cdinates, i.e., and y, 0 / 5 /. /s 6. Ans: (a) In te -y plane, te ate f tatin f a fluid paticle is given by v u v0 z 0 y v0 Te te cpnents will be ze. And y gt g Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
6 : 6 : ME _ Test _Slutins 7. Ans: (c) Te equatin f te stealines f te given flw field is given by dy d Cy y C u y y F flw t be paallel t y-ais, u 0 O, dy d y y Tis is pssible wen y 8. Ans: (b) Te tw diensinal cntinuity equatin in cylindical pla cdinates is v v 0 v O, F v v sin v sin sin Integating te abve equatin wit espect t, we get, v ( cs) + f() 9. Ans: (c) Te velcity f wate in te pipe is given by, 0 g 0 wee g 0. Ans: (a) /s Z Tis is te Benulli equatin pe unit vlue f te fluid flwing. gz Tis is Benulli equatin pe unit ass f te fluid flwing. Z Tis is te Benulli g equatin. Ans: (a) Efficiency f tansissin we deliveedat te pipe utlet we available at te pipe inlet 0. Ans: (d) % We knw tat L t t t 0s 500 Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
7 : 7 : ESE - 08 (elis) Offline Test Seies. Ans: (c) Te jet is deflected by 80. S, te fce eeted by te jet n te vane is F A jet + A vane L g N. Ans: (c) F incpessible flw, cnstant. S, 0 even f unsteady flw. S, t stateent (i) is cect. Te secnd stateent is als cect. 5. Ans: (b) If tee is n le in te vane ten te fce acting n te vane is F A (+cs) Due t le effective aea f te deflected jet educes t (A a) F (A a) (+cs) A a A a [as 60] 6. Ans: (c) Cnsideing fce F (twads igt) t be fce eeted n te fluid by cntactin, te linea ent equatin ay be witten as: F n fluid A + A A ( + ) F n fluid ( A A ) A A F n fluid A A A A Tus, F n cntactin F n fluid but acting twads left. 7. Ans: (c) Re 600 S, te flw is laina and 6 6 f 0.0 Re 600 Head lss, Hence, f fl gd f gd fl /s 8. Ans: (a) Te enegy equatin gives : f L z gd f L d g z c Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
8 : 8 : ME _ Test _Slutins 9. Ans: (b) Blwe pwe g Q f Q Q Q 0. Ans: (c) C C C K, K K / s C K Ans: (d) Lsses f flw tug valves and fittings ae epessed in tes f lss cefficient K s. It is epessed in tes f equivalent lengt f a staigt pipe. Ans: (c) C K C gh H g K K. Ans: (b) 0 0 g g Q C d 0.6 a a a a g Q 5 lit/sec. Ans: (c) u A 0 a ua 0 d d u a d 0 u 0 a z z dz ua u a 0 0 taking z Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
9 : 9 : ESE - 08 (elis) Offline Test Seies 5. Ans: (b) In ipe flw, sea stess is ze at te cente and inceases linealy f cente t te pipe wall. 8QL d Q In a cnstant diaete pipe pessue deceases linealy. linealy. g 6. Ans: (b) wate at 0 C is 0.65 a-s Z als deceases Let D diaete f pipe and d be diaete f nzzle. Net ead (z z ) H z 0 0 z L L g L 0.5 f.. g D g D d (entance lss + pipe lss) D z z. 0.5 f. d g g f 0.07, D c, d c H 0.5 f. L D D d. g L D. g 7. Ans: (a) L L L gd L gb [ ] 0 H 6 6. g L L B D 8. Ans: (b) Let z and z be te elevatin f esevi and nzzle 9. Ans: (a) Te specific speed values given actually efe t te nn-diensinal specific speed (in ad/s ). Hee, again te iniu value (0.) is f eltn weel, fllwed by Fancis tubine (.0). Te ppelle tubine will ave te value f.0. Kaplan tubine will ave te igest value f.0. Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
10 : 0 : ME _ Test _Slutins 0. Ans: (a) H d s g d g s Z d Z Assuing suctin and delivey pipes f sae diaete and neglecting elevatin canges between inlet and eit. H d s g s i.e., H H & Q Q let H p a b Q p i.e., H a b (Q) 0 60 Q a b Q Cpaing bt sides a 0 & b 5 H p 0 5 Q. Ans: (a) D, D 5 p H H p. Ans: (c) QH Q D H D H / F paallel cbinatin, ead eains sae but discage beces twice. p D D p H H p / / Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
11 : : ESE - 08 (elis) Offline Test Seies. Ans: (d) elcity ead in delivey pipe is aiu at te iddle f delivey stke i.e., 70. Ans: (d) Te velcity vaiatin in suctin pipe f a single acting ecipcating pup is i.e., a sin avg avg a avg 0 a sin d cs0 a a 5. Ans: (d) ALN Q, L 60 Q Q Q N a N N avg Q Q 00 0% Q 6. Ans: (c) Ai vessel n delivey side des nt ave any effect n suctin side. It educes velcity fluctuatins in delivey side. Hence, acceleatin ead is educed nly n delivey side. Static delivey ead is te elevatin diffeence between delivey pipe eit and pup eit. It is independent f any te paaete. 7. Ans: (b) cs cs80 0 a 0.75 Applying enegy balance t te t He g g a g g g g a / g / g 8. Ans: (b) 0. 5 a F a ( u) ( + cs ) At te stating u 0 Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
12 : : ME _ Test _Slutins F a ( + cs ) 9. Ans: (a) T F R T F R a ( + cs) D T T i.e., cs kn. F F a u k cs a u kcs Te jet speed nly depends n net ead. ence F aiu efficiency u Te initial cnditin cespnds t aiu efficiency u u i.e., u u u u 00 50% u 50. Ans: (d) Wete, te Fancis tubine as adial vanes nt, te velcity f flw is always adial. If te t blade at inlet is adial ten te elative velcity (wic is tangential t te blade) is als adial. 5. Ans: (a) i.e., tan u w gh 0 w 0.8 [as g 0 /s ] 0 w 9.6 /s f w tan Te eact value f is 5. Ans: (b) tan 7. 5 Q Af f D t D f /s. /s Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
13 : : ESE - 08 (elis) Offline Test Seies 5. Ans: (a) tan f w In Kaplan tubine w fllws fee vte distibutin k w Tus w deceases f ub twads tip. As f is cnstant inceases f ub twads tip. 5. Ans: (c) N Ns 5 / H F N T N s 5/ L F FLT T T FLT L F / L / T / 55. Ans: (a) CD FD U F C D D U U FD CD Re.8 Re CD Re i.e. F D 56. Ans: (c) Te displaceent tickness ( * ) can be cnsideed as an iaginay gwt in te tickness f te wall s tat te utside flw can be cnsideed as unif flw. Using cntinuity equatin U R U R * U U 57. Ans: (b) * U U u U du dy du dy R R * y y y U U y du dy 9 k U 9 U 8 Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
14 : : ME _ Test _Slutins 58. Ans: (d) elcity gadient nal t te suface is vey ig as cpaed t steawise velcity gadient. u u i.e., y Cntinuity equatin ust be satisfied at eac pint in a flw u v i.e., 0 y u v y u v y 59. Ans: (d) All f te abve etds will educe te cances f sepaatin. Rug suface akes te bunday laye tubulent and te tubulent bunday laye is cpaatively less susceptible t sepaatin. 60. Ans: (c) 5 Re 5 C f 0.66 Re C f U 0.66 U Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
15 6. Ans: (c) Nally a specific ppety f a substance is defined pe unit ass. But f a fluid its specific weigt is defined as weigt pe unit vlue. It is an intensive ppety. S, stateent (II) is wng. 6. Ans: (d) Te cefficient f vlue epansin f a fluid diffes f its bulk dulus f cpessibility. S, stateent (I) is wng. Hweve, stateent (II) is cect. 6. Ans: (b) Reynlds nube is te ati f inetia fces t te viscus fces in te fluid flw. Tese inetia fces geneate due t te cange in entu f te fluid. At ige Reynlds nube, flw is tubulent and te velcity pfile is lgaitic. 6. Ans: (a) F itatinal flw, Benulli equatin can be applied at any tw pints in te flw. Centifugal fces will cause te incease in pessue f inside t utside edge. Applicatin f Benulli equatin will sw te decease f velcity f inside t utside edge. 65. Ans: (a) F stability f flating bdies, GM > 0. S, if a bdy wit wide ectangula css sectin is tilted sligtly, its B (cente f : 5 : ESE - 08 (elis) Offline Test Seies buyancy) sifts e twads te tilted end esulting in lage BM. S, GM will be psitive. Als it pvides a igting cuple. Teefe, te bdy will be in te stable cnditin. 66. Ans: (a) C d f ventue ete lies between 0.97 t Tis is ainly due t st gadual vaiatin f css-sectinal aea dwn t tat and ten back t te full pipe aea. Tis esults in less fictin lsses. Hweve, in te case f ifice ete tee is an abupt cnstictin at te ifice plate. Tis causes te fatin f eddies wic leads t ige fictin lsses. Te C d f ifice ete vaies f 0.58 t Ans: (c) Te esultant ydstatic fce is given by F R A. S, F R can be deteined if and A ae knwn. S, stateent (I) is cect. Hweve, F R depends n specific weigt f te liquid in wic it is subeged. S, stateent (II) is wng. 68. Ans: (d) In steady flw, lcal acceleatin is ze but cnvective acceleatin ay nt be ze. Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
16 : 6 : ME _ Test _Slutins 69. Ans: (c) Te unsyetic pessue distibutin n te ftball suface is due t Magnus effect. Spinning f ftball geneates lw velcity n ne side and ig velcity n te side. Lw pessue side U w U U w Hig pessue side 70. Ans: (c) At sepaatin pint sea stess is ze because velcity gadient beces ze. essue gadient is psitive wen flw is abut t sepaate. 7. Ans: (c) F blunt bject pessue dag is aj cntibut t te veall dag. Stealining avids te flw sepaatin ence pessue dag is educed. Teefe, veall dag is als educed. Stealining in fact inceases te skin fictin dag as te cntact aea is inceased. Hence, Stateent (II) is false. 7. Ans: (a) () Witut daft tube, kinetic enegy ead lss wuld ave been () Tubine. Wen daft tube is g used, kinetic enegy ead lss is. g Hence kinetic enegy ead lss is educed by g 7. Ans: (b) Kaplan tubine as ige efficiency as cpaed t ppelle tubine at pat lad cnditin because Kaplan tubine as adjustable t blades wee as ppelle tubine as fied t blades. Due t adjustable t blades, te Kaplan tubine can adjust t diffeent flw cnditin wit iniu sepaatin lss. 7. Ans: (d) Stateent (II) is te definitin f NSH. Hence, it is cect stateent. i i v NSH g g g Ha Hs Hv fs F abve equatin it is clea tat as suctin ead inceases, NSH deceases. Hence, stateent I is wng. 75. Ans: (d) Teetical ead develped by te pup is u g w He Head develped nly depends n eit velcity tiangle. Tus stateent (I) is wng. Te teetical pessue ise acss te pup is g H e u w. Hence, stateent (II) is cect. Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
17 : 7 : ESE - 08 (elis) Offline Test Seies Hydeabad Deli Bpal une Bubaneswa Lucknw atna Bengaluu Cennai ijayawada izag Tiupati Kukatpally Klkata
Example
hapte Exaple.6-3. ---------------------------------------------------------------------------------- 5 A single hllw fibe is placed within a vey lage glass tube. he hllw fibe is 0 c in length and has a
More informationOutline. Steady Heat Transfer with Conduction and Convection. Review Steady, 1-D, Review Heat Generation. Review Heat Generation II
Steady Heat ansfe ebuay, 7 Steady Heat ansfe wit Cnductin and Cnvectin ay Caett Mecanical Engineeing 375 Heat ansfe ebuay, 7 Outline eview last lectue Equivalent cicuit analyses eview basic cncept pplicatin
More informationA) N B) 0.0 N C) N D) N E) N
Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 1 Q1. Five identical pint chages each with chage =10 nc ae lcated at the cnes f a egula hexagn, as shwn in Figue 1. Find the magnitude f the net electic fce
More informationCHE CHAPTER 11 Spring 2005 GENERAL 2ND ORDER REACTION IN TURBULENT TUBULAR REACTORS
CHE 52 - CHPTE Sping 2005 GENEL 2ND ODE ECTION IN TUULENT TUUL ECTOS Vassilats & T, IChEJ. (4), 666 (965) Cnside the fllwing stichiety: a + b = P The ass cnsevatin law f species i yields Ci + vci =. Di
More informationA) (0.46 î ) N B) (0.17 î ) N
Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 1 Q1. Thee chages, 1 = =.0 μc and Q = 4.0 μc, ae fixed in thei places as shwn in Figue 1. Find the net electstatic fce n Q due t 1 and.
More information1. Show that if the angular momentum of a boby is determined with respect to an arbitrary point A, then. r r r. H r A can be expressed by H r r r r
1. Shw that if the angula entu f a bb is deteined with espect t an abita pint, then H can be epessed b H = ρ / v + H. This equies substituting ρ = ρ + ρ / int H = ρ d v + ρ ( ω ρ ) d and epanding, nte
More information1) Consider an object of a parabolic shape with rotational symmetry z
Umeå Univesitet, Fysik 1 Vitaly Bychkov Pov i teknisk fysik, Fluid Mechanics (Stömningsläa), 01-06-01, kl 9.00-15.00 jälpmedel: Students may use any book including the tetbook Lectues on Fluid Dynamics.
More informationChapter 4 Motion in Two and Three Dimensions
Chapte 4 Mtin in Tw and Thee Dimensins In this chapte we will cntinue t stud the mtin f bjects withut the estictin we put in chapte t me aln a staiht line. Instead we will cnside mtin in a plane (tw dimensinal
More informationME 3600 Control Systems Frequency Domain Analysis
ME 3600 Cntl Systems Fequency Dmain Analysis The fequency espnse f a system is defined as the steady-state espnse f the system t a sinusidal (hamnic) input. F linea systems, the esulting utput is itself
More informationSchool of Chemical & Biological Engineering, Konkuk University
Schl f Cheical & Bilgical Engineeing, Knkuk Univesity Lectue 7 Ch. 2 The Fist Law Thecheisty Pf. Y-Sep Min Physical Cheisty I, Sping 2008 Ch. 2-2 The study f the enegy tansfeed as heat duing the cuse f
More informationA) 100 K B) 150 K C) 200 K D) 250 K E) 350 K
Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: 1 Q1. A ht bject and a cld bject ae placed in themal cntact and the cmbinatin is islated. They tansfe enegy until they each a final equilibium
More information, and the curve BC is symmetrical. Find also the horizontal force in x-direction on one side of the body. h C
Umeå Univesitet, Fysik 1 Vitaly Bychkov Pov i teknisk fysik, Fluid Dynamics (Stömningsläa), 2013-05-31, kl 9.00-15.00 jälpmedel: Students may use any book including the textbook Lectues on Fluid Dynamics.
More informationWYSE Academic Challenge Sectional Mathematics 2006 Solution Set
WYSE Academic Challenge Sectinal 006 Slutin Set. Cect answe: e. mph is 76 feet pe minute, and 4 mph is 35 feet pe minute. The tip up the hill takes 600/76, 3.4 minutes, and the tip dwn takes 600/35,.70
More informationWork, Energy, and Power. AP Physics C
k, Eneg, and Pwe AP Phsics C Thee ae man diffeent TYPES f Eneg. Eneg is expessed in JOULES (J) 4.19 J = 1 calie Eneg can be expessed me specificall b using the tem ORK() k = The Scala Dt Pduct between
More informationProblem Set 5: Universal Law of Gravitation; Circular Planetary Orbits
Poblem Set 5: Univesal Law of Gavitation; Cicula Planetay Obits Design Engineeing Callenge: Te Big Dig.007 Contest Evaluation of Scoing Concepts: Spinne vs. Plowe PROMBLEM 1: Daw a fee-body-diagam of a
More informationElectric Fields and Electric Forces
Cpyight, iley 006 (Cutnell & Jhnsn 9. Ptential Enegy Chapte 9 mgh mgh GPE GPE Electic Fields and Electic Fces 9. Ptential Enegy 9. Ptential Enegy 9. The Electic Ptential Diffeence 9. The Electic Ptential
More informationLecture #2 : Impedance matching for narrowband block
Lectue # : Ipedance atching f nawband blck ichad Chi-Hsi Li Telephne : 817-788-848 (UA) Cellula phne: 13917441363 (C) Eail : chihsili@yah.c.cn 1. Ipedance atching indiffeent f bandwidth ne pat atching
More informationCHAPTER 24 GAUSS LAW
CHAPTR 4 GAUSS LAW LCTRIC FLUX lectic flux is a measue f the numbe f electic filed lines penetating sme suface in a diectin pependicula t that suface. Φ = A = A csθ with θ is the angle between the and
More informationChapter 1 Functions and Graphs
Capte Functions and Gaps Section.... 6 7. 6 8 8 6. 6 6 8 8.... 6.. 6. n n n n n n n 6 n 6 n n 7. 8 7 7..8..8 8.. 8. a b ± ± 6 c ± 6 ± 8 8 o 8 6. 8y 8y 7 8y y 8y y 8 o y y. 7 7 o 7 7 Capte : Functions and
More informationWater Tunnel Experiment MAE 171A/175A. Objective:
Wate Tunnel Expeiment MAE 7A/75A Objective: Measuement of te Dag Coefficient of a Cylinde Measuement Tecniques Pessue Distibution on Cylinde Dag fom Momentum Loss Measued in Wake it lase Dopple Velocimety
More informationThermal-Fluids I. Chapter 17 Steady heat conduction. Dr. Primal Fernando Ph: (850)
emal-fluids I Capte 7 Steady eat conduction D. Pimal Fenando pimal@eng.fsu.edu P: (850 40-633 Steady eat conduction Hee we conside one dimensional steady eat conduction. We conside eat tansfe in a plane
More information5/20/2011. HITT An electron moves from point i to point f, in the direction of a uniform electric field. During this displacement:
5/0/011 Chapte 5 In the last lectue: CapacitanceII we calculated the capacitance C f a system f tw islated cnducts. We als calculated the capacitance f sme simple gemeties. In this chapte we will cve the
More informationFUNDAMENTALS & DESIGN
Fundatin f Tecnical Educatin Cllege f Tecnical/ Basa 4 Lectues FUNDAMENTALS & DESIGN OF HEAT EXCHANGER 1. Classificatin f Heat Excanges 2. Calculatins f Heat Excange 3. Heat Tansfe Applicatins 4. Cnstuctin
More informationtorr ~tirru 'V Q Hz N/m 2 EQUIPMENT z a r 1 INTRODUCTION
l @1~ 8 ~tiu ilf'@m W@~(Q) H~W t N-J ERMEER Delft Univesity f Technlgy, The Nethelands a~ SYNOPSS As a cntinuatin f ealie wk, velcities have been easued in the nea wake f a del t in the wind tunnel By
More informationME 236 Engineering Mechanics I Test #4 Solution
ME 36 Enineein Mechnics I est #4 Slutin Dte: id, M 14, 4 ie: 8:-1: inutes Instuctins: vein hptes 1-13 f the tetbk, clsed-bk test, clcults llwed. 1 (4% blck ves utwd ln the slt in the pltf with speed f
More informationIntroduction. Electrostatics
UNIVESITY OF TECHNOLOGY, SYDNEY FACULTY OF ENGINEEING 4853 Electmechanical Systems Electstatics Tpics t cve:. Culmb's Law 5. Mateial Ppeties. Electic Field Stength 6. Gauss' Theem 3. Electic Ptential 7.
More information5.1 Moment of a Force Scalar Formation
Outline ment f a Cuple Equivalent System Resultants f a Fce and Cuple System ment f a fce abut a pint axis a measue f the tendency f the fce t cause a bdy t tate abut the pint axis Case 1 Cnside hizntal
More informationELECTRIC & MAGNETIC FIELDS I (STATIC FIELDS) ELC 205A
LCTRIC & MAGNTIC FILDS I (STATIC FILDS) LC 05A D. Hanna A. Kils Assciate Pfess lectnics & Cmmnicatins ngineeing Depatment Faclty f ngineeing Cai Univesity Fall 0 f Static lecticity lectic & Magnetic Fields
More information1121 T Question 1
1121 T1 2008 Question 1 ( aks) You ae cycling, on a long staight path, at a constant speed of 6.0.s 1. Anothe cyclist passes you, tavelling on the sae path in the sae diection as you, at a constant speed
More informationThe Gradient and Applications This unit is based on Sections 9.5 and 9.6, Chapter 9. All assigned readings and exercises are from the textbook
The Gadient and Applicatins This unit is based n Sectins 9.5 and 9.6 Chapte 9. All assigned eadings and eecises ae fm the tetbk Objectives: Make cetain that u can define and use in cntet the tems cncepts
More informationPhysics Courseware Electromagnetism
Pysics Cousewae lectomagnetism lectic field Poblem.- a) Find te electic field at point P poduced by te wie sown in te figue. Conside tat te wie as a unifom linea cage distibution of λ.5µ C / m b) Find
More informationQuestion 2-1. Solution 2-1 CHAPTER 2 HYDROSTATICS
CHAPTER HYDROSTATICS. INTRODUCTION Hydraulic engineers have any engineering applicatins in hich they have t cpute the frce being exerted n suberged surfaces. The hydrstatic frce n any suberged plane surface
More informationWind Tunnel Experiment MAE 171A/175A. Objective:
Wind Tunnel Exeiment MAE 7A/75A Objective: Measue te Aeodynamic Foces and Moments of a Clak Y-4 Aifoil Unde Subsonic Flo Conditions Measuement Tecniques Pessue Distibution on Aifoil Dag fom Momentum Loss
More information2015 Regional Physics Exam Solution Set
05 Reginal hysics Exa Slutin Set. Crrect answer: D Nte: [quantity] dentes: units f quantity WYSE Acadeic Challenge 05 Reginal hysics Exa SOLUTION SET r F r a lengthass length / tie ass length / tie. Crrect
More informationAircraft Performance - Drag
Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce
More informationFri. 10/23 (C14) Linear Dielectrics (read rest at your discretion) Mon. (C 17) , E to B; Lorentz Force Law: fields
Fi. 0/23 (C4) 4.4. Linea ielectics (ead est at yu discetin) Mn. (C 7) 2..-..2, 2.3. t B; 5..-..2 Lentz Fce Law: fields Wed. and fces Thus. (C 7) 5..3 Lentz Fce Law: cuents Fi. (C 7) 5.2 Bit-Savat Law HW6
More informationElectric Charge. Electric charge is quantized. Electric charge is conserved
lectstatics lectic Chage lectic chage is uantized Chage cmes in incements f the elementay chage e = ne, whee n is an intege, and e =.6 x 0-9 C lectic chage is cnseved Chage (electns) can be mved fm ne
More informationAnnouncements Candidates Visiting Next Monday 11 12:20 Class 4pm Research Talk Opportunity to learn a little about what physicists do
Wed., /11 Thus., /1 Fi., /13 Mn., /16 Tues., /17 Wed., /18 Thus., /19 Fi., / 17.7-9 Magnetic Field F Distibutins Lab 5: Bit-Savat B fields f mving chages (n quiz) 17.1-11 Pemanent Magnets 18.1-3 Mic. View
More informationwhich represents a straight line whose slope is C 1.
hapte, Slutin 5. Ye, thi claim i eanable ince in the abence any heat eatin the ate heat tane thugh a plain wall in teady peatin mut be cntant. But the value thi cntant mut be ze ince ne ide the wall i
More informationSection 4.2 Radians, Arc Length, and Area of a Sector
Sectin 4.2 Radian, Ac Length, and Aea f a Sect An angle i fmed by tw ay that have a cmmn endpint (vetex). One ay i the initial ide and the the i the teminal ide. We typically will daw angle in the cdinate
More informationGCSE: Volumes and Surface Area
GCSE: Volumes and Suface Aea D J Fost (jfost@tiffin.kingston.sc.uk) www.dfostmats.com GCSE Revision Pack Refeence:, 1, 1, 1, 1i, 1ii, 18 Last modified: 1 st August 01 GCSE Specification. Know and use fomulae
More informationOBJECTIVE To investigate the parallel connection of R, L, and C. 1 Electricity & Electronics Constructor EEC470
Assignment 7 Paallel Resnance OBJECTIVE T investigate the paallel cnnectin f R,, and C. EQUIPMENT REQUIRED Qty Appaatus 1 Electicity & Electnics Cnstuct EEC470 1 Basic Electicity and Electnics Kit EEC471-1
More informationPhysics 321 Solutions for Final Exam
Page f 8 Physics 3 Slutins fr inal Exa ) A sall blb f clay with ass is drpped fr a height h abve a thin rd f length L and ass M which can pivt frictinlessly abut its center. The initial situatin is shwn
More informationMagnetism. Chapter 21
1.1 Magnetic Fields Chapte 1 Magnetism The needle f a cmpass is pemanent magnet that has a nth magnetic ple (N) at ne end and a suth magnetic ple (S) at the the. 1.1 Magnetic Fields 1.1 Magnetic Fields
More informationExaminer: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data
Benha University Cllege f Engineering at Banha Department f Mechanical Eng. First Year Mechanical Subject : Fluid Mechanics M111 Date:4/5/016 Questins Fr Final Crrective Examinatin Examiner: Dr. Mhamed
More informationSummary chapter 4. Electric field s can distort charge distributions in atoms and molecules by stretching and rotating:
Summa chapte 4. In chapte 4 dielectics ae discussed. In thse mateials the electns ae nded t the atms mlecules and cannt am fee thugh the mateial: the electns in insulats ae n a tight leash and all the
More informationA REEXAMINATION OF USGS VOLUMETRIC HEAT IN PLACE METHOD
POCEEDINGS, ity-sixt Wksp n Getemal esevi Engineeing Stanfd Univesity, Stanfd, Califnia, Januay 31 - Febuay 2, 2011 SGP--191 A EEXAMINAION OF USGS VOLUMEIC HEA IN PLACE MEHOD Sabd K. Gag Science Applicatins
More informationCHAPTER GAUSS'S LAW
lutins--ch 14 (Gauss's Law CHAPTE 14 -- GAU' LAW 141 This pblem is ticky An electic field line that flws int, then ut f the cap (see Figue I pduces a negative flux when enteing and an equal psitive flux
More informationMEM202 Engineering Mechanics Statics Course Web site:
0 Engineeing Mechanics - Statics 0 Engineeing Mechanics Statics Cuse Web site: www.pages.dexel.edu/~cac54 COUSE DESCIPTION This cuse cves intemediate static mechanics, an extensin f the fundamental cncepts
More informationStrees Analysis in Elastic Half Space Due To a Thermoelastic Strain
IOSR Junal f Mathematics (IOSRJM) ISSN: 78-578 Vlume, Issue (July-Aug 0), PP 46-54 Stees Analysis in Elastic Half Space Due T a Themelastic Stain Aya Ahmad Depatment f Mathematics NIT Patna Biha India
More information3-7 FLUIDS IN RIGID-BODY MOTION
3-7 FLUIDS IN IGID-BODY MOTION S-1 3-7 FLUIDS IN IGID-BODY MOTION We ae almost eady to bein studyin fluids in motion (statin in Chapte 4), but fist thee is one cateoy of fluid motion that can be studied
More informationPart 2: CM3110 Transport Processes and Unit Operations I. Professor Faith Morrison. CM2110/CM Review. Concerned now with rates of heat transfer
CM30 anspot Pocesses and Unit Opeations I Pat : Pofesso Fait Moison Depatment of Cemical Engineeing Micigan ecnological Uniesity CM30 - Momentum and Heat anspot CM30 Heat and Mass anspot www.cem.mtu.edu/~fmoiso/cm30/cm30.tml
More informationChapter 6 Area and Volume
Capte 6 Aea and Volume Execise 6. Q. (i) Aea of paallelogam ( ax)( x) Aea of ectangle ax ( x + ax)( x) x x ( + a) a x a Faction x ( + a) + a (ii) Aea of paallelogam Aea of ectangle 5 ax (( + 5 x)( x ax)
More informationFundamental concept of metal rolling
Fundamental cncept metal rlling Assumptins 1) Te arc cntact between te rlls and te metal is a part a circle. v x x α L p y y R v 2) Te ceicient rictin, µ, is cnstant in tery, but in reality µ varies alng
More informationCHAPTER 5: Circular Motion; Gravitation
CHAPER 5: Cicula Motion; Gavitation Solution Guide to WebAssign Pobles 5.1 [1] (a) Find the centipetal acceleation fo Eq. 5-1.. a R v ( 1.5 s) 1.10 1.4 s (b) he net hoizontal foce is causing the centipetal
More informationOn the Micropolar Fluid Flow through Porous Media
Pceedings f the th WEA Int. Cnf. n MATHEMATICAL METHOD, COMPUTATIONAL TECHNIQUE AND INTELLIGENT YTEM On the Micpla Fluid Flw thugh Pus Media M.T. KAMEL 3, D. ROACH, M.H. HAMDAN,3 Depatment f Mathematical
More informationPhys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1
Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity
More informationHW #3: Conservation of Linear Momentum, Conservation of Energy, Conservation of Angular Momentum and Turbomachines, Bernoulli s Equation
HW #: Cnevatin f Linea Mentu Cnevatin f Enegy Cnevatin f ngula Mentu and Tubachine Benulli Equatin Due: Mn pil 0 at the ISE bx. i Bunyajitadulya HW #: Cnevatin f Linea Mentu Cnevatin f Enegy Cnevatin f
More informationNAME Borough of Manhattan Community College Course Physics 110 Sec 721 Instructor: Dr. Hulan E. Jack Jr. Date December 19, 2006
Brug f Manattan unity llege urse Pysics 110 Sec 721 nstructr: Dr. Hulan E. Jack Jr. Date Deceber 19, 2006 inal Exa NSTRUTONS - D 7 prbles : D Prble 1, 2 fr Prble 2,3 and 4, 2 fr Prbles 5,6 and 7, 2 fr
More informationPhysics 2212 GH Quiz #2 Solutions Spring 2016
Physics 2212 GH Quiz #2 Solutions Sping 216 I. 17 points) Thee point chages, each caying a chage Q = +6. nc, ae placed on an equilateal tiangle of side length = 3. mm. An additional point chage, caying
More informationCompressibility Effects
Definitin f Cmpressibility All real substances are cmpressible t sme greater r lesser extent; that is, when yu squeeze r press n them, their density will change The amunt by which a substance can be cmpressed
More informationATMO 551a Fall 08. Diffusion
Diffusion Diffusion is a net tanspot of olecules o enegy o oentu o fo a egion of highe concentation to one of lowe concentation by ando olecula) otion. We will look at diffusion in gases. Mean fee path
More informationCLASS XI SET A PHYSICS
PHYSIS. If the acceleratin f wedge in the shwn arrangement is a twards left then at this instant acceleratin f the blck wuld be, (assume all surfaces t be frictinless) a () ( cs )a () a () cs a If the
More informationUnit code: H/ QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY
Unit 43: Plant and Prcess Principles Unit cde: H/601 44 QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY 3 Understand static and namic fluid systems with
More informationELECTROMAGNETIC INDUCTION PREVIOUS EAMCET BITS
P P Methd EECTOMAGNETIC INDUCTION PEVIOUS EAMCET BITS [ENGINEEING PAPE]. A cnduct d f length tates with angula speed ω in a unifm magnetic field f inductin B which is pependicula t its mtin. The induced
More informationOn the structure of MHD shock waves in a viscous gas
On the stuctue f MHD shck waves in a viscus gas On the stuctue f MHD shck waves in a viscus gas R. K. Anand and Haish C. Yadav Depatment f Physics, Univesity f Allahabad, Allahabad-, India e-mail: anand.ajkuma@ediffmail.cm
More information10. Groundwater in geotechnical problems
. Goundwate in geotechnical poblems Goundwate plays a key ole in many geotechnical poblems. We will look at; - land subsidence - dewateing open pits - Consolidation of sediments Remembe the stoage of wate
More informationPhysics 111. Exam #1. January 26, 2018
Physics xam # Januay 6, 08 ame Please ead and fllw these instuctins caefully: Read all pblems caefully befe attempting t slve them. Yu wk must be legible, and the ganizatin clea. Yu must shw all wk, including
More informationDo not turn over until you are told to do so by the Invigilator.
UNIVERSITY OF EAST ANGLIA School of Mathematics Main Seies UG Examination 2015 16 FLUID DYNAMICS WITH ADVANCED TOPICS MTH-MD59 Time allowed: 3 Hous Attempt QUESTIONS 1 and 2, and THREE othe questions.
More informationTidal forces. m r. m 1 m 2. x r 2. r 1
Tidal foces Befoe we look at fee waves on the eath, let s fist exaine one class of otion that is diectly foced: astonoic tides. Hee we will biefly conside soe of the tidal geneating foces fo -body systes.
More informationSec. 9.1 Lines and Angles
Sec. 9. Line and Angle Leaning Objective:. Identify line, line egment, ay, and angle.. Claify angel a acute, igt, btue, taigt.. Identify cmplementay and upplementay angle. 4. Find meaue f angle. 5. Key
More information2.25 Advanced Fluid Mechanics
MIT Depatment of Mechanical Engineeing.5 Advanced Fluid Mechanics Poblem 6.1 This poblem is fom Advanced Fluid Mechanics Poblems by A.H. Shapio and A.A. Sonin The sketch shows a cicula beaing pad which
More informationEN40: Dynamics and Vibrations. Midterm Examination Tuesday March
EN4: Dynaics and Vibations Midte Exaination Tuesday Mach 8 16 School of Engineeing Bown Univesity NME: Geneal Instuctions No collaboation of any kind is peitted on this exaination. You ay bing double sided
More informationPhysics 2A Chapter 10 - Moment of Inertia Fall 2018
Physics Chapte 0 - oment of netia Fall 08 The moment of inetia of a otating object is a measue of its otational inetia in the same way that the mass of an object is a measue of its inetia fo linea motion.
More informationForging Analysis - 2. ver. 1. Prof. Ramesh Singh, Notes by Dr. Singh/ Dr. Colton
Foging Analysis - ve. 1 Pof. ames Sing, Notes by D. Sing/ D. Colton 1 Slab analysis fictionless wit fiction ectangula Cylindical Oveview Stain adening and ate effects Flas edundant wo Pof. ames Sing, Notes
More informationConsider the simple circuit of Figure 1 in which a load impedance of r is connected to a voltage source. The no load voltage of r
1 Intductin t Pe Unit Calculatins Cnside the simple cicuit f Figue 1 in which a lad impedance f L 60 + j70 Ω 9. 49 Ω is cnnected t a vltage suce. The n lad vltage f the suce is E 1000 0. The intenal esistance
More informationA 1. EN2210: Continuum Mechanics. Homework 7: Fluid Mechanics Solutions
EN10: Continuum Mechanics Homewok 7: Fluid Mechanics Solutions School of Engineeing Bown Univesity 1. An ideal fluid with mass density ρ flows with velocity v 0 though a cylindical tube with cosssectional
More informationbulk velocity through orifice,
150A Review Sessin Other Frictin Lsses Bernulli hf accunts fr all types f drag: is drag due t skin frictin is drag due t fittings (tabulated fractin f the velcity head) is drag due t units (a given r calculated
More informationVaiatin f. A ydn balln lasd n t n ) Clibs u wit an acclatin f 6x.8s - ) Falls dwn wit an acclatin f.8x6s - ) Falls wit acclatin f.8 s - ) Falls wit an acclatin f.8 6 s-. T wit f an bjct in t cal in, sa
More informationPhys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1
Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the
More informationSection A 01. (12 M) (s 2 s 3 ) = 313 s 2 = s 1, h 3 = h 4 (s 1 s 3 ) = kj/kgk. = kj/kgk. 313 (s 3 s 4f ) = ln
0. (a) Sol: Section A A refrigerator macine uses R- as te working fluid. Te temperature of R- in te evaporator coil is 5C, and te gas leaves te compressor as dry saturated at a temperature of 40C. Te mean
More informationth th th The air-fuel ratio is determined by taking the ratio of the mass of the air to the mass of the fuel,
Cheical Reactins 14-14 rpane is burned wi 75 percent excess during a cbustin prcess. The AF rati is t be deterined. Assuptins 1 Cbustin is cplete. The cbustin prducts cntain CO, H O, O, and N nly. rperties
More informationRotatoy Motion Hoizontal Cicula Motion In tanslatoy motion, evey point in te body follows te pat of its pecedin one wit same velocity includin te cente of mass In otatoy motion, evey point move wit diffeent
More informationSubjects discussed: Aircraft Engine Noise : Principles; Regulations
16.50 Lectue 36 Subjects discussed: Aicaft Engine Nise : Pinciples; Regulatins Nise geneatin in the neighbhds f busy aipts has been a seius pblem since the advent f the jet-pweed tanspt, in the late 1950's.
More informationNiraj Sir. circular motion;; SOLUTIONS TO CONCEPTS CHAPTER 7
SOLUIONS O CONCEPS CHAPE 7 cicula otion;;. Distance between Eath & Moon.85 0 5 k.85 0 8 7. days 4 600 (7.) sec.6 0 6 sec.4.85 0 v 6.6 0 8 05.4/sec v (05.4) a 0.007/sec.7 0 /sec 8.85 0. Diaete of eath 800k
More informationFlux. Area Vector. Flux of Electric Field. Gauss s Law
Gauss s Law Flux Flux in Physics is used to two distinct ways. The fist meaning is the ate of flow, such as the amount of wate flowing in a ive, i.e. volume pe unit aea pe unit time. O, fo light, it is
More informationChapter 31 Faraday s Law
Chapte 31 Faaday s Law Change oving --> cuent --> agnetic field (static cuent --> static agnetic field) The souce of agnetic fields is cuent. The souce of electic fields is chage (electic onopole). Altenating
More informationChapter 13 Gravitation
Chapte 13 Gavitation In this chapte we will exploe the following topics: -Newton s law of gavitation, which descibes the attactive foce between two point masses and its application to extended objects
More informationAssume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected.
1 HW #3: Cnservatin f Linear Mmentum, Cnservatin f Energy, Cnservatin f Angular Mmentum and Turbmachines, Bernulli s Equatin, Dimensinal Analysis, and Pipe Flws Prblem 1. Cnservatins f Mass and Linear
More informationChapter 2 PROPERTIES OF FLUIDS
Capte Popeties of Fluids Capte POPETIES OF FLUIDS Density and Specific Gavity -C Intensive popeties do not depend on te size (extent) of te syste but extensive popeties do. -C Te specific gavity, o elative
More informationHoizontal Cicula Motion 1. A paticle of mass m is tied to a light sting and otated with a speed v along a cicula path of adius. If T is tension in the sting and mg is gavitational foce on the paticle then,
More informationc) (6) Assuming the tires do not skid, what coefficient of static friction between tires and pavement is needed?
Geneal Physics I Exam 2 - Chs. 4,5,6 - Foces, Cicula Motion, Enegy Oct. 10, 2012 Name Rec. Inst. Rec. Time Fo full cedit, make you wok clea to the gade. Show fomulas used, essential steps, and esults with
More informationMODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
More informationEffect of Peclet Number on the Dispersion of a Solute in a Blood flowing in Non-Uniform Tube
Intenatinal Junal f Cmputatinal and Applied Mathematics. ISSN 1819-4966 Vlume 1, Numbe (017), pp. 449-456 Reseach India Publicatins http://www.ipublicatin.cm Effect f clet Numbe n the Dispesin f a Slute
More information06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions )
06 - ROTATIONAL MOTION Page ) A body A of mass M while falling vetically downwads unde gavity beaks into two pats, a body B of mass ( / ) M and a body C of mass ( / ) M. The cente of mass of bodies B and
More information(Sample 3) Exam 1 - Physics Patel SPRING 1998 FORM CODE - A (solution key at end of exam)
(Sample 3) Exam 1 - Physics 202 - Patel SPRING 1998 FORM CODE - A (solution key at end of exam) Be sue to fill in you student numbe and FORM lette (A, B, C) on you answe sheet. If you foget to include
More informationPhy 213: General Physics III
Phy 1: Geneal Physics III Chapte : Gauss Law Lectue Ntes E Electic Flux 1. Cnside a electic field passing thugh a flat egin in space w/ aea=a. The aea vect ( A ) with a magnitude f A and is diected nmal
More informationExample 11: The man shown in Figure (a) pulls on the cord with a force of 70
Chapte Tw ce System 35.4 α α 100 Rx cs 0.354 R 69.3 35.4 β β 100 Ry cs 0.354 R 111 Example 11: The man shwn in igue (a) pulls n the cd with a fce f 70 lb. Repesent this fce actin n the suppt A as Catesian
More informationPart 2: Introduction to Open-Channel Flow SPRING 2005
Part : Introduction to Open-Cannel Flow SPRING 005. Te Froude number. Total ead and specific energy 3. Hydraulic jump. Te Froude Number Te main caracteristics of flows in open cannels are tat: tere is
More informationSPH4U Unit 6.3 Gravitational Potential Energy Page 1 of 9
SPH4 nit 6.3 Gavitational Potential negy Page of Notes Physics ool box he gavitational potential enegy of a syste of two (spheical) asses is diectly popotional to the poduct of thei asses, and invesely
More information