ࡱ> ' bjbj 0TdTdMMMMMaaa8aMt$wMMMMM`T8R0MM0M : Newtons Universal Law of Gravitation Learning Goal: I can explain how the gravitational force that attracts all objects to one other another connects to the equation Fg = mg. I can find the gravitational force between any two objects. So far, if we wanted to find the force of gravity on an object, all we needed to use was the equation Fg = mg. But where does this come from? What happens if we wanted to find Fg between two planets that each have their own gravity? What happens if we anted to find Fg between two smaller objects? What if the objects are very far away from each other, where acceleration due to gravity is lower than 9.81m/s2? We need to use the general formula for Fg for any of the cases listed above:  EMBED Equation.3 Where: -Fg is the force of gravity measured in Newtons (N) -m is the mass of an object in kg -r is the distance between the centers of the objects in m -G is the Gravitational Constant, equal to 6.67x10-11 Nm2/kg2 Unit Analysis: Eg. Alice and Bob are sitting beside each other. Alice has a weight of 565N and Bob has a mass of 75kg. If they are 0.225m apart, what force of gravity do they feel between each other? To see if this equation is connected to Fg = mg, all we need to remember is the mass and radius of the earth: (me = 5.98x1024kg, re = 6.38x106m) Many people were afraid of 2012. One theory was that on Dec 21, Earth would be in alignment with our sun and the black hole in the middle of the Milky Way, and we would be sucked into it on that day. Use the formula to see why this was a false theory: ms = 1.99x1030 kg mbh = 2.6 million x ms rmw = 52850 ly * 9,460,730,472,580.8 km     Dynamics: Note 9 %&'6V W   󾱾zzzsss hJh8*h8*h8*H*_Hh8*h8*H*_Hjh8*h8*EHU_H'jGH h8*h8*CJUV_HaJjhJh8*U_HhJh8*_H h8*H* h8*H* hGhGhGhG5H*hGhG5 hG5hGh8*h8*6>*CJ *&'^ _  8 Z 4$Ifgd8*$If < = > _kd$$Ifl0p," t644 lapyt8*   & ( - . 8 9 B C E Q $?ABCMOUWijln|򱭱ޭhoOxjhoOxU hi.0h8*h8*mH sH h8*H* h8*H*h%VhA-Vheh8*hJh8*H*hJh8*H* hJh8* hJhG.> ? @ A B C ATk.:p8*/ =!"#$% Dd DB  S A? 2GLMW$7#D`!LMW$7x gxK@ǿjD :)U7A h,AԿ BGZuprp89fVrFz =H]@"T38_HhhDDd )%r/ra{IpS_-3 @ݻ jG8mh 'q-D\lF%ԯvm3(Zy六F %8E]#>ؕp;&ۮvή, 7mjQmW-[UAn`p+w=(AYU4x NxTKoFq $!M-!@ - M.%RR '@ E-П{k zǞr/:KItK7}3ϳ ܁Ukr&L{o K /SH~oҌy.?e{y p' eQe ?N^/qQpQD%is3$㒲\E eC{p_c}ɶ??n5ט}Fges5623o ~g, **}T'1z=>Hĩico9Xir27V#m[nPetIJLFgBD\ⱱyQL0hiCF_FG,I:(5YUSthaS #T*f5,mQ:>oe"Ȳi€U䔋\LD0"M@T8[a>:ٶ7s%/ qi'ݤaG&Ⱦ|ZL Jburc5~IvV;ğ%zO[FP+:Y@ECJ`joHTY A6l`I{\9Kd]_[?A;vkMn>nM^Oc:3\v|{z(ѥc>aކ?͡4u,P.*%Uy\›n>UœQ~\Vq[m߿Gͣ o-`˰ĮYXaL’%W^ee(WXX~Uf~e$$If!vh#v#v:V l t655pyt8* . !"#$%&'()*+,-Root Entry  F`jצT8Data WordDocument 0ObjectPool T8`jצT8_1219661895FT8T8Ole CompObjNObjInfo FMicrosoft EquationDNQE Equation.3W F g =Gm 1 m 2 r 2 Oh+'0  Equation Native s1TableSummaryInformation( DocumentSummaryInformation8 < @ L Xdlt|(Newtons Universal Law of GravitationKevin DonkersNormal Geoff Porte4Microsoft Office Word@NSI@£R@jT8 ՜.+,0  hp|    &Newtons Universal Law of Gravitation Title  F Microsoft Word 97-2003 Document MSWordDocWord.Document.89qw666666666vvvvvvvvv666666>6666666666666666666666666666666666666666666666666hH66666666666666666666666666666666666666666666666666666666666666666p62&6FVfv2(&6FVfv&6FVfv&6FVfv&6FVfv&6FVfv&6FVfv8XV~ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@6666_HmH nH sH tH @`@ NormalCJ_HaJmH sH tH DA D Default Paragraph FontRi@R  Table Normal4 l4a (k (No List 4@4 JHeader  !4 4 JFooter  !nn J Table Grid7:V0_HPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭VGRU1a$N% ʣꂣKЛjVkUDRKQj/dR*SxMPsʧJ5$4vq^WCʽ D{>̳`3REB=꽻Ut Qy@֐\.X7<:+& 0h @>nƭBVqu ѡ{5kP?O&Cנ Aw0kPo۵(h[5($=CVs]mY2zw`nKDC]j%KXK 'P@$I=Y%C%gx'$!V(ekڤք'Qt!x7xbJ7 o߼W_y|nʒ;Fido/_1z/L?>o_;9:33`=—S,FĔ觑@)R8elmEv|!ո/,Ә%qh|'1:`ij.̳u'k CZ^WcK0'E8S߱sˮdΙ`K}A"NșM1I/AeހQתGF@A~eh-QR9C 5 ~d"9 0exp<^!͸~J7䒜t L䈝c\)Ic8E&]Sf~@Aw?'r3Ȱ&2@7k}̬naWJ}N1XGVh`L%Z`=`VKb*X=z%"sI<&n| .qc:?7/N<Z*`]u-]e|aѸ¾|mH{m3CԚ .ÕnAr)[;-ݑ$$`:Ʊ>NVl%kv:Ns _OuCX=mO4m's߸d|0n;pt2e}:zOrgI( 'B='8\L`"Ǚ 4F+8JI$rՑVLvVxNN";fVYx-,JfV<+k>hP!aLfh:HHX WQXt,:JU{,Z BpB)sֻڙӇiE4(=U\.O. +x"aMB[F7x"ytѫиK-zz>F>75eo5C9Z%c7ܼ%6M2ˊ 9B" N "1(IzZ~>Yr]H+9pd\4n(Kg\V$=]B,lוDA=eX)Ly5ot e㈮bW3gp : j$/g*QjZTa!e9#i5*j5ö fE`514g{7vnO(^ ,j~V9;kvv"adV݊oTAn7jah+y^@ARhW.GMuO "/e5[s󿬅`Z'WfPt~f}kA'0z|>ܙ|Uw{@՘tAm'`4T֠2j ۣhvWwA9 ZNU+Awvhv36V`^PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!g theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK]  !   >  :8@0(  B S  ?UWCGTWknwy|Ce&BCEFOQpr$?G%VA-VeoOx8*@CCCC@UnknownG.[x Times New Roman5Symbol3. .Cx ArialC.,*{$ Calibri Light7.*{$ CalibriA$BCambria Math qhxcY-  !r4KQP b2!xxõJ %Newton s Universal Law of Gravitation Kevin Donkers Geoff PorteCompObjr