FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com EXECISE- * MAK IS MOE THAN ONE COECT QUESTIONS. SECTION : UNIVESAL LAW OF GAVIT VITATION TION A. A. A 3. A 4. A 5. A 6. If we ignoe the pesence of the sun, then thee exists point on the line joining the eth nd the moon whee gvittionl foce is zeo. The point is locted fom the moon t distnce of (Given tht eth is 8 times hevie thn moon nd the seption between eth nd moon 4 0 8 m) : 8 0 7 m 4 0 6 m 4 0 7 m 8 0 6 m Fou simil pticles of mss m e obiting in cicle of dius in the sme diection becuse of thei mutul gvittionl ttctive foce. Velocity of pticle is given by + 4 ( ) 3 + + A cetin tiple-st system consists of two sts, ech of mss m evolving bout centl st of mss M in the sme cicul obit of dius. The two sts e lwys t opposite ends of dimete of the cicul obit. An expession fo the peiod of evolution of the sts is : 3 / 4π G(M + m) 4π 3 / G(4M + m) 4π 3 / G(M + m) 3 / 4π G(4M + m) An expeiment using the Cvendish blnce to mesue the gvittionl constnt G found tht mss of 0.800 kg ttcts nothe sphee of mss 4.00 0 3 kg with foce of.30 0 0 N when the distnce between the centes of the sphees is 0.0400 m. The cceletion due to gvity t the eth s sufce is 9.80 m/s nd the dius of the eth is 6380 km. The mss of the eth fom these dt is (ppoximtely) 8 0 4 kg 8 0 3 kg 6 0 3 kg 6 0 4 kg A spheicl hollow cvity is mde in led sphee of dius, such tht its sufce touches the outside sufce of the led sphee nd psses though its cente. The mss of the sphee befoe hollowing ws M. With wht gvittionl foce will the hollowed-out led sphee ttct smll sphee of mss m, which lies t distnce d fom the cente of the led sphee on the stight line connecting the centes of the sphees nd tht of the hollow, if d = : 7GMm 8 7GMm 7 7GMm 36 7GMm 9 A stight od of length l extends fom x = α to x = l + α. If the mss pe unit length is ( + bx ). The gvittionl foce it exets on point mss m plced t x = 0 is given by G m + bl ( + bx ) α α + l l G m α + bl + l + bl α + l α Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 9 Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com A 7. A 8. A 9. A 0. A. Two concentic shells of unifom density of mss M nd M e situted s shown in the figue. The foces expeienced by pticle of mss m when plced t positions A, B nd C espectively e (given OA = p, OB = q nd OC = ) Mm ( M + m )m zeo, G nd G q p ( M + M )m ( M + M )m G, G p q p nd G M m G M m G (M + M, )m Mm q, G q nd zeo G (M + M)m Mm, G nd zeo p q Thee pticles P, Q nd e plced s pe given figue. Msses of P, Q nd e 3 m, 3 m nd m espectively. The gvittionl foce on fouth pticle S of mss m is equl to 3 GM d 3 d 3 d in ST diection only 3 in SQ diection nd d in SQ diection only in SU diection 3 3 in SQ diection nd in ST diection d d No two bodies on the eth move towds ech othe inspite of the foce of gvittionl ttction between them. Explin why? Do the foce of fiction, nd othe contct foces ise due to gvittionl ttction? If not, wht is the oigin of these foces? Solid sphees of sme mteil nd sme dius e touching ech othe. If the density is ρ then find out gvittionl foce between them. SECTION : GAVIT VITATIONAL TIONAL FIELD AND POTENTIAL B. B. B 3. Figue show hemispheicl shell. The diection of gvittionl field intensity t point P will be long: b c d Let gvittion field in spce be given s E = (k/). If the efeence point is t d i whee potentil is V i then eltion fo potentil is : V = k log V + 0 V = k log i di + V i V = log d i + kv i V = log A block of mss m is lying t distnce fom spheicl shell of mss m nd dius. Then only gvittionl field inside the shell is zeo gvittionl field nd gvittionl potentil both e zeo inside the shell gvittionl potentil s well s gvittionl field inside the shell e not zeo cn t be scetined. B 4. Gvittionl field t the cente of semicicle fomed by thin wie AB of mss m nd length l is : l long +x xis πl long +y xis d i + k V i Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 0 Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com π long + l x xis π long + l y xis B 5. A unifom ing of mss m is lying t distnce 3 fom the cente of B 6. sphee of mss M just ove the sphee whee is the smll dius of the ing s well s tht of the sphee. Then gvittionl foce exeted is : GMm GMm GMm GMm 3 3 8 3 8 In spheicl egion, the density vies invesely with the distnce fom the cente. Gvittionl field t distnce fom the cente is : popotionl to popotionl to sme eveywhee B 7. In bove poblem, the gvittionl potentil is - popotionl to popotionl to popotionl to popotionl to sme evey whee. B 8.* Inside unifom spheicl shell : The gvittion potentil is zeo The gvittionl field is zeo The gvittionl potentil is sme eveywhee The gvittionl field is sme eveywhee. B 9. B 0. B. B. Is it possible to shield body fom gvittionl effects? Two bodies of msses 00 kg nd 0000 kg e t distnce m pt. At which point on the line joining them will the gvittionl field-intensity be zeo? The weight of peson on the eth is 480 N. The gvittionl field on the sufce of the moon is 6 times tht of the gvittionl field on the sufce of eth. () Wht will be the weight of the peson on the moon (b) If the peson cn jump mete high on the eth how much high cn he jump on the moon (c) Wht is the mss of the peson on the eth? On the moon? (g on eth = 0 N kg ) If the gvittionl field on the sufce of the moon is 6 th of the gvittionl field on the sufce of the eth. The dius of the moon is 4 th of the dius eth, find out the tio of the msses of the moon nd eth. B 3. The gvittionl field in egion is given by E = (3î 4ĵ ) N/kg. Find out the wok done (in joule) in displcing B 4. B 5. B 6. pticle by m long the line 4y = 3x + 9. The gvittionl potentil in egion is given by V = (0x + 40y) J/kg. Find out the gvittionl field (in newton / kg) t point hving co-odinte (, 4). dius of the eth, 6.4 0 6 m nd the men density is 5.5 0 3 kg/m 3. Find out the gvittionl potentil t the eth s sufce. A ing of dius = 8m is mde of highly dense-mteil. Mss of the ing is m =.7 0 9 kg distibuted unifomly ove its cicumfeence. A pticle of mss (dense) m p = 3 0 8 kg is plced on the xis of the ing t distnce x 0 = 6m fom the cente. Neglect ll othe foces except gvittionl intection. Detemine : () closest distnce of thei ppoch (fom cente). (b) displcement of ing by this moment. (c) speed of the pticle t this instnt. Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com B 7. B 8. A thin spheicl shell hving unifom density is cut in two pts by plne nd kept septed s shown in figue. The point A is the cente of the plne section of the fist pt nd B is the cente of the plne section of the second pt. Show tht the gvittionl feld t A due to the fist pt is equl in mgnitude to the gvittionl field t B due to the second pt. In solid sphee of dius nd density ρ thee is spheicl cvity of dius /4 s shown in figue. A pticle of mss m is elesed fom est fom point B (inside the cvity). Find out - () The position whee this pticle stikes the cvity. (b) Velocity of the pticle t this instnt. SECTION : GAVIT VITATIONAL TIONAL POTENTIAL ENEGY AND SELF ENEGY C. C. C 3. C 4. C 5. The figue shows the vition of enegy with the obit dius of body in cicul plnety motion. Find the coect sttement bout the cuves A, B nd C A shows the kinetic enegy, B the totl enegy nd C the potentil enegy of the system C shows the totl enegy, B the kinetic enegy nd A the potentil negy of the system C nd A e kinetic nd potentil enegies espectively nd B is the totl enegy of the system A nd B e the kinetic nd potentil enegies nd C is the totl enegy of the system. A body stts fom est t point, distnce 0 fom the cente of the eth of mss M, dius. The velocity cquied by the body when it eches the sufce of the eth will be GM 0 GM 0 Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't. GM 0 GM 0 A point P lies on the xis of fixed ing of mss M nd dius, t distnce fom its cente O. A smll pticle stts fom P nd eches O unde gvittionl ttction only. Its speed t O will be zeo GM GM GM ( 5 ) ( ) 5 If M e be the mss of the eth nd M m the mss of the moon (M e = 8 M m ), the potentil enegy of body of mss m in the gvittionl field of the eth nd moon which is t distnce fom the cente of the eth nd distnce fom the cente of the moon, is 8 M + m 8 + e 8 M + m 8 M m Thee equl msses ech of mss m e plced t the thee-cones of n equiltel tingle of side. () If fouth pticle of equl mss is plced t the cente of tingle, then net foce cting on it, is equl to : (b) (c) 4 3 zeo 3 In bove poblem, if fouth pticle is t the mid-point of side, then net foce cting on it, is equl to: 4 3 zeo 3 If bove given thee pticles system of equiltel tingle side is to be chnged to side of, then wok done on the system is equl to : Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com (d) 3 3 D 3*. In cse of eth : field is zeo, both t cente nd infinity potentil is zeo, both t cente nd infinity potentil is sme, both t cente nd infinity but not zeo Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't. 4 3 In the bove given thee pticle system, if two pticles e kept fixed nd thid pticle is elesed. Then speed of the pticle when it eches to the mid-point of the side connecting othe two msses: C 6*. In cse of n obiting stellite if the dius of obit is decesed : its KE deceses its PE deceses its ME deceses its speed deceses C 7. C 8. C 9. C 0. C. A stellite is in cicul obit of dius ''. Anothe stellite is in cicul obit of dius 4. How do you compe thei obitl velocities nd time peiods Does plnet evolving ound sun in n ellipticl obit hve constnt (i) line speed (ii) ngul momentum bout the sun (iii) kinetic enegy (iv) potentil enegy nd (v) totl enegy thoughout its obit? A mss M is split into two pts, m & M m, which e then septed by cetin distnce. Wht tio of m/m gives the lest gvittionl potentil enegy fo the system. Two eth stellites A nd B ech of equl mss e to be lunched in to cicul obits bout eth s cente. Stellite A is to obit t n llitude of 6400 km nd B t 900 km. The dius of the eth is 6400 km. Detemine- () the tio of the potentil enegy (b) the tio of kinetic enegy (c) which one hs the gete totl enegy Two objects A nd B e fixed t distnce d fom ech othe. If the mss of A is M A nd tht of B is M B, then find out the velocity of stellite of mss M S pojected fom the mid point of two plnets to infinity. SECTION : THE EATH AND OTHE PLANETS GAVIT VITY D. D. Suppose tunnel could be dug though the eth fom one side to the othe long dimete nd pticle of mss M is, dopped into it. If ll fictionl foces e neglected, the pticle will ente fom one side nd come out fom the othe with velocity gete thn tht t the cente stop t the cente of the eth s eth ttcts ll bodies towds its cente undego simple hmonic motion nd neve stop tke spil pth in the tunnel till it comes out fom the othe end If cceletion due to gvity is 0 ms then let cceletion due to gvittionl foce t nothe plnet of ou sol system be 5 ms. An stonut weighing 50 kg on eth goes to this plnet in spceship with constnt velocity. The chnge in the weight of the stonut with time of flight is oughly given by Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 3
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com D 4. D 5. D 6. D 7. potentil is minimum t the cente A body is going fom the eth to the moon. How does its weight chnges s it goes fom the eth to the moon? Will thee be ny chnge in its mss? How will the vlue of ppent cceletion due to gvity be ffected if the eth begins to otte bout its own xis t speed gete thn its pesent speed? If the eth suddenly contcts to hlf of its dius, wht would be the length of dy. The cceletion due to gvity t height (/0) th the dius of the eth bove eth s sufce is 9 m/s. Find out its pposimte vlue t point t n equl distnce below the sufce of the eth. SECTION : (E) KEPLE S LAW SATELLITES, OBITAL SPEED AND ESCAPE SPEED E. E. E 3. E 4. E 5*. E 6*. E 7*. E 8*. The ngul velocity of geosttiony stellite in din pe hou is- 6 π 4 π π 8 π Choose the coect sttement fom mong the following A plnet moves in n ellipticl obit with the cente of mss locted t the intesection of mjo nd mino xes of the ellipse The position vecto fo plnet, no mtte fom whee it is mesued, sweeps out equl e in equl time intevls The time peiod of plnet is diectly popotionl to the cube oot of the semimjo xis The tio of the sque of the time peiod to the cube of the semimjo xis is ppoximtely the sme fo ll plnets. An tificil stellite of the eth eleses pckge. If i esistnce is neglected the point whee the pckge will hit (with espect to the position t the time of elese) will be hed exctly below behind it will neve ech the eth A pojectile is fied fom the sufce of eth of dius with velocity kν e whee ν e is the escpe velocity nd k <. Neglecting i esistnce, the mximum height of ise fom cente of eth is k + k k k Which of the following sttements e coect bout plnet otting ound the sun in n elliptic obit: its mechnicl enegy is constnt its ngul momentum bout the sun is constnt its el velocity bout the sun is constnt its time peiod is popotionl to 3 A double st is system of two sts of msses m nd m, otting bout thei cente of mss only unde thei mutul gvittionl ttction. If is the seption between these two sts then thei time peiod of ottion bout thei cente of mss will be popotionl to 3/ m / m / A stellite close to the eth is in obit bove the equto with peiod of ottion of.5 hous. If it is bove point P on the equto t some time, it will be bove P gin fte time.5 hous.6 hous if it is otting fom west to est 4/7 hous if it is otting fom est to west 4/7 hous if it is otting fom west to est A tunnel is dug long chod of the eth t pependicul distnce / fom the eth s cente. The wll of the tunnel my be ssumed to be fictionless. A pticle is elesed fom one end of the tunnel. The pessing foce by the pticle on the wll, nd the cceletion of the pticle vies with x (distnce of the pticle fom the cente) ccoding to : Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 4 Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.
Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com E 9. E 0. E. E. E 3. E 4. A peson in n tificil stellite of the eth feels weightlessness. But peson on the moon hs weight though the moon is lso stellite of the eth. Why? A stellite of mss m is obitting in cicul obit of dius. Find the ngul momentum with espect to the cente of the obit in tems of the mss of the eth M. The dius of plnet is nd stellite evolves ound it in cicle of dius. The time peiod of evolution is T. Find the cceletion due to the gvittion of the plnet t its sufce. A spce cft of mss m descibes cicul obit of dius ound the eth. Find the dditionl enegy E which must be impted to the spcecft to tnsfe it to cicul obit of lge dius. (M is mss of the eth) A stellite is estblished in cicul obit of dius nd nothe in cicul obit of dius.0. How much pecentge the time peiod of second-stellite will be lge thn the fist stellite nely. Let st be much bighete thn ou sun but its mss is sme s tht of sun. If ou eth hs vege life spn of mn s 70 yes. The eth like plnet of this st system hving double the distnce fom ou st. Find the vege life spn of the mn on eth in tems of the ye of tht plnet. EXECISE-. Imgine light plnet evolving ound vey mssive st in cicul obit of dius with peiod of evolution T. If the gvittionl foce of ttction between the plnet nd the st is popotionl to 5/ then T is popotionl to 3 T is popotionl to 7/ T is popotionl to 3/ T is popotion to 3.75. A solid sphee of unifom density nd dius 4 units is locted with its cente t the oigin O of coodintes. Two sphees of equl dii unit with thei centes t A (, 0, 0) nd B(, 0, 0) espectively e tken out of the solid leving behind spheicl cvities s shown in the figue.[iit 993] The gvittionl field due to this object t the oigin is zeo. The gvittionl field t the point B(, 0, 0) is zeo The gvittionl field t the point A(, 0, 0) is zeo. The gvittionl field t points A, O nd B is zeo. 3. In the bove question : [IIT 993] The gvittionl potentil is diffeent t diffeent points of cicle y + z = 36 The gvittionl potentil is diffeent t ll points of cicle y + z = 4 The gvittionl potentil is sme t ll points of cicle y + z = 36 nd the potentil is sme t ll points of cicle y + z = 4 Nothing cn be sid bout potetnil with the given dt. 4. The mgnitudes of the gvittionl field t distnces nd fom the cente of unifom sphee of dius nd mss M e F nd F espectively, then : [JEE - 94] Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 5 Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com F = F F F = if < & < if > & > F = F F = F if > & > if < & < 5. A stellite is lunched into cicul obit of dius ound the eth A. Second stellite is lunched into n obit of dius.0. The peiod of the second stellite is lge thn the fist one by ppoximtely : 0.7 %.0 %.5 % 3.0 % [JEE - 95,] 6. Two pticle e pojected veticlly upwds with the sme velocity on two diffeent plnets with cceletions due to gvities g nd g espectively. If they fll bck to thei initil points of pojection fte lpse of times t nd t espectively, then [EE - 95] t t = g g t g = t g t g = t g t + t = g + g 7. If the distnce between the eth nd the sun wee hlf its pesent vlue, the numbe of dys in ye would hve been : [JEE - 96,] 64.5 9 8.5 730 8. Distnce between the centes of two sts is 0. The msses of these sts e M & 6 M & thei dii & espectively. A body of mss m is fied stight fom the sufce of the lge st towds the smlle st. Wht should be its minimum initil speed to ech the sufce of the smlle st? Obtin the expession in tems of G, M &. [JEE - 96, 5] 9. If the dius of the eth be incesed by fcto of 5, by wht fcto its density be chnged to keep the vlue of g the sme? [EE - 96] /5 /5 / 5 5 0. An tificil stellite moving in cicul obit ound the eth hs totl (kinetic + potentil) enegy Eº. Its p o t e n t i l e n e g y i s : [JEE - 97, ] Eº.5 Eº Eº Eº. The tio of Eth's obitl ngul momentum (bout the sun) to its mss is, 4.4 0 5 m /s. The e enclosed by eth's obit is ppoximtely m. [JEE - 97, 3]. Two pticles, ech of mss M, move ound in cicle o dius unde the ction of thei mutul gvittionl ttction. The speed of ech pticle is [EE - 97] GM GM GM 4 GM 3. At wht distnce, fom the cente of the eth, does the cceletion due to gvity becomes one hlf of the vlue tht it hs on the sufce of the eth? ( e is the eth s dius) [EE - 97] = e = 3 e = e = 5 e 4. A stellite of mss 00 kg is plced initilly in tempoy obit 800 km bove the sufce of eth. The stellite is to be plced now in pemnent obit t 000 km bove the sufce of eth. Find the mount of wok done to move the stellite fom the tempoy to pemnent obit. The dius of the eth is 6400 km. [EE - 99] 5. A simple pendulum hs time peiod T when on the eth s sufce, nd T when tken to height bove the eth s sufce, whee is the dius of the eth. The vlue of T /T is: [JEE - 0, ] 4 6. A pticle of mss m is tken though the gvittionl field poduced by souce S, fom A to B, long the thee pths s shown in figue. If the wok done long the pths s shown in the figue. If the wok done long the pths Ι, ΙΙ nd ΙΙΙ is W Ι, W ΙΙ nd W ΙΙΙ espectively, then W Ι = W ΙΙ = W ΙΙΙ W ΙΙ > W ΙΙΙ = W ΙΙ W ΙΙΙ = W ΙΙ > W Ι W Ι > W ιι > W ΙΙΙ [JEE Sc. - 003] 7. A double st system consists of two sts A nd B which hve time peiod T A nd T B. dius A nd B nd mss M A nd M B. Choose the coect option. [JEE 006, 3/64] T If T A > T B then A > B If T A > T B then M A > M B T A B = A B 3 T A = T B Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 6 Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.
FEE Downlod Study Pckge fom website: www.tekoclsses.com & www.mthsbysuhg.com Get Solution of These Pckges & Len by Video Tutoils on www.mthsbysuhg.com EXECISE SECTION : A. C A. A A 3. B A 4. D A 5. B A 6. A A 7. D A 8. C A 9. Gvittionl ttction is wek foce, cn not ove come fiction. A 0. A. No, Electomgnetic inteection between the chges. 4 π ρ 9 SECTION : G 4 B. C B. B B 3. C B 4. D B 5. D B 6. D B 7. A B 8.* BCD B 9. No. B 0. / m fom 00 kg nd between them B. () The weight will be 6 th of the weight on (b) (c) eth. Thus it is 80 N. Due to lesse gvittionl field, t moon, lesse will be etdtion (/6th). Thus it will jump m high on moon. W = Mg, 480 = m eth 0, m eth = 48 kg It will be sme on moon s weight nd gvittionl field both educe to /6th W = Mg, 480 = m eth 0, m eth = 48 kg B. /96 B 3. zeo B 4. 0 î 40 ĵ B 5. GM V = = 4 G π 3 3 ρ 4 = π Gρ 3 Putting = 6.4 0 6 m ρ = 5.5 0 3 kg/m 3, V = 6.3 0 7 J/kg B 6. () zeo ; (b) 0.6 m; (c) 9cm/s B 8. () Since foce is lwys cting towds cente of solid sphee. Hence it will stike t A. (b) v = SECTION : πgρ 3 C. D C. C C 3. D C 4. A C 5. () D (b) B (c) BD (d) B ANSWE GM GM C 7. V = nd, :, T : T 4 4 = : 8 C 8. (i) No, (ii) Yes, (iii) No, (iv) No, (v) Yes, C 9. / C 0. C. U A 5600 K () = = (b) A ma = UB 800 KB mb (c) B is hving moe enegy. G(M SECTION : A + d M B D. C D. A D 3*. AD D 4. D 5. ) Fist deceses then inceses, No. Appent gvittionl cceletion gets de cesed eveywhee except pole. D 6. 6 hs D 7. 9.5 m/s SECTION : (E) E. C E. D E 3. D E 4. C E 5*. ABC E 6*. AD E 7*. BC E 8*. BC E 9. Due to moon s gvity E 0. (GMm ) /. 3 4 π E. T B A = E. E = GMm( ) E 3..5% E 4. 5 Plnet yes. EXECISE. B. A 3. C 4. AB 5. C 6. B 7. B 8. v min =.5 9. B 0. C 5GM. 6.93 0 m. C 3. A 4. 4.06 0 8 J 5. D 6. A 7. D Teko Clsses, Mths : Suhg. Kiy (S.. K. Si), Bhopl Phone : 0 903 903 7779, 0 98930 5888. pge 7 C 6*. BC Successful People eplce the wods like; "wish", "ty" & "should" with "I Will". Ineffective People don't.