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Gravitation

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0% found this document useful (0 votes)
155 views27 pages

Gravitation

About gravitation
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Nos ( 3A) — — The total content provert in the body is Known an marr — ua shuvays ¥ernouns conystadt - — SI Unit => Kilogram (kg) G) :) Cembre of man, (FAM Aes) :- — According to this , the whole mam of 0 vequlon body is supposed to be concerbated at its center ~> Tt may be inside o¥ outside the body 4 Sphere ( Tie) => inside Ying => outside Weight (THRO — The force by which the cath attvads a body towardn its centor is known a» weight — Aue to charge in place, the Value of ‘7; changes As a Yeoutt of this , volue te place- ' S woghe chonge place — ST Unit - Newton oy kgins* Note :- a) Ge 8 ois? €2) | Gemgon = door Qum- The monn of a body on cartth is Gokg Find (1) Hoar of +he bedy on rmron (q= lo revs?) (2) Weight Pe ‘cond, (1) Magan 8G 8) Wengen Monet = Sex lo = Io0N & Note — A ball and a paper bath ase dvopped 1 H 7 q 4 Simullancounly From a Coden height Ur oe te tz ama a fehl Hae > BH Me GST ara SF (4) in vacuum (Ada 8) — — Bath bodier will yeadh the ground ot the same time aat aeae cet ox Sh ay GEaTH (bo In on (ara FH) - fr bt —> Bue to greater surface axea of paper it faces move art vepubrion and Paper veoch the avound odttert the ball Note= — The obove Concept is independent +o mans and it depends on surface one Quer- Tioo stoner of diffexert manse> ore dropped simubtoncounly Frorn a cedtoin height then (a) Heowier Stone will yeach the qround Fivst - (b) Lighter 1 ” " " ” " GE Both stones will yeach the ground of the Same time . () NOT Quer- A ball and a Feather beth axe dropped simultaneous from a Codein height Lor Bay will veadh the ground first - (b) Feathey non " €c) Both will vexth the gvourd ob the Some time @) Neo-F Contact force (SETH Bet) /Novenal Reaction ( ath verer oer BreH) (Roe n) = Contac R “) R foxee @ ReM 4 — Weighing balance L H Reoding = Novrnad : % Reattion = R= "{ Mg Cann of lift = — A pernen having mars “H? is Standing on a weighing balance in a lift zen confer Gare gama WS ae Tae AMT aa Ma = Rg DP R= NgtMa > [R= Nata ty — Apparent weight Incvcasv, atfte TAR deat FI Cont-(3) When lift moves downward with an acceleration fa? — R Free = Ng-R [2 = Ma = Ng-R => R= Ng-Ma ig > |R=N(G-a)| > Apparent weight decease. Cane-(4) Free falling of itt Cfatez art zaTA ETA AHEM) i-c azg R= M(g-a) at ate R=0] 9 Waghtloanes, (HRéral ) Grecia fate COREE I: — Tt is adugays prosent between — T+ is athadive in natuxc- — Tt is the weokest force in nature Marr Ary My are Mz x (3) Alcaho} whore Gi= Universal Gravitational constant (TEAR TERE 5 Gz 669 KI0" Nee kit => Heny Conendish ferim ) — Tt is independerd to meatium Quo- The qiewitodional force behucen the corth and the gun is F- Ef the separation behocen them is doubled then find new qrowitedionel force b/w them is € s Can Fe Gtste —¢) @rO (b) YF Rr E s ete Fi= Gtlstte @—2k—®&) a % (aR? Fei, = yee i. WORE, °F (Sukh Escape velocity (youre BT) - — The minimum velocity given to 4 body 50 that if Crosse» carcth geeuitedional Field and never comer on cordth suweface is known a» extage Velocity _ Ke far whore g= aa R= Radiws of couh (teat eer) Ve = I? kes = 6400 km V, = 24 kis Mmaon — THis independent +o mow, Existence of akmosphore on any planet (i) The existence of admosphore on any planet depends on grautly m= cates R nm = mq —c I F > Gt R Ughore N= Moos, of cut R= Rodi of conth (1) Effect of Attitude (HME a yuna) (2) Effect of Repth (TRIE an TR) (2) Effed of Shape of cx (ett arepfa an WTR) (4) Effect of xotetion of cath (gedt -aROT aI AHA ) (1) Effect of Attitude *- —T 4 q- yr (ser hondR b (Ran oe) G) R= 64a0 kerq q= q (122) (hex) — With increase in height the valle of 4) decreane, Quor- At what height from the suxface of easth , will the value of q be Yedueed by 367 From the value ot the swrface ? R= C4oo km Sol gi = 647 of g = gxSL => qe st eo | hz 64e0 qe Rk are o (Rab)? Ars > - RP => [G=-BR DI=R j Mt sh= IR 6 (Rhy? 7 Via IO Rh the aR = [he Ry Quer- Find the percentage decveane in the weight of a body when token to a height of 32 kam above the Sunface of the cath - R= C4ooke Sr g'_ (i-zh 7 decent _ (Ww ~ WW! a= ( %) in weight =( wl ) rice ele hota (le ate ) too ico 168 = (Pata ad Zdecin _ (\- aq) xiv = Ly! = (9-4) uoeaghd ( jo) ( " ye = Verh (Bai (2) Effect of Repth (TENE an yrH)- q=a("Z) — With ineveas¢ in depth, the vasue of ‘y decreone, ie 974! MM center of comth, d= R q=° Note = Note — > Altitude > q) = a(t2b) 2h =e — pepth > p= a('4) A d=R, The vate of decrement in the value of 1S qyeador with incvess,e In altitude ax Compare to increane in depth (3) Effect of shape of conth (gedt at anepft an gam): q= Pole (S74) GM — constont 1 vari Eyustoy Rp < Rey > dp” dey, Quen- The value of 64) is maximum ot (a) Novth pale Le South pole Ce) Fyustex = td) All Note - Ry? Rs > In< 4s (4) Effect of votetion of cath — wo q'= q-Rutcod <\ — Que to rotation of covuth volute of 9? ecveane» at ewory place cxcept at poler becaw.e ot polo» A=40° Cost =o => q =q — Tf eodh doonn't votede (u=0) , then Value of g is sarne of wo Place - Quo.- IF coxth doon't tofete then Value of q at equates Le incteore (by deeveome» —(c) veamamns samme (4) NOT = 42 mn/s? q TF should be placed ot a height of cea km (approx ) Note - — Nioimum three yer Stobionayey, soktdlite coven, the whole Comth Kepler's Laws — (1) Ist Lew - — Accoxding +o this , al planets sewolve> oxtound the Sun in ettptio) oxbit - (2) Second Land - IF t)=tz then |A,= Aa (3) Thivd low — TR «RK whore T= Time porued (aA ar) R = Radiun of Mayor axis a ae 4 fion Rediun of rniny axis eon “Soa Rodiur of Mayor axis Quen- The time pouod of o planet is 677. TF Xodiun of its oxbit is doubled then Find new time poued of a planet - Sofie T« RP -—w To x (2RF —an Me, (y= at 7 2 (2) =% > Th=am 5[the eT 7

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