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Teraf temel
integration Ah (^) yabny 3 andy knalleya Ma (^) Kolena Sandena 10 knalleya^. Describing eds:
- re (^) Point Mass: & M (^) at = 8
⑧ X m^ Mass^ concentrated^ in^ centre
Egp =^0 work done : 1E= (^) Egp -O Volume^ negligible Es^ Surrounding W = Egp. 0 F= GM Gravitational Potential (^) Energy: Work^ done to (^) bring point mass from^ infinity to acertain^ point in the^ field. W = Es I (^) r^ Egp^ = = amM) X * G bat o so r= d Gravitational Potential: Work done (^) per point mass to (^) bring point mass from^ infinity to acertain^ point in the^ field. Vg = W = M =^ a^ m
rV2 X X
vomimbunctors ec ivaceo and (^) awas e
VI
VI VI (^) Work = mal
V = am &adidt >r Notice axis (^) preferes. 1 >I distance^
in terms of
i ->^ -^ ↑^ radius. ↑ > ↑ ↑ ↑ ↑ ↑ W (^)! (^) V ↑ I! 2 X > from^ surface^. V S-^ E surface=
of each
X M
- 50 >r V= Max
- Ve = max . gradients^ I^
= m^ = M =
g
=> ~ I (^) negative potential gradient. v (^) A= m(V2-V) z At surface Vi
Gravitational field
- -> Equipotential Equal^ Ep^ and^ Y^.
7 ↑ surface
(^1) As perpendicular to field lines. xiy (^) A
.^ perpindricular^ As we (^) get (^) aways Equipotential .
· (^) - Equipotential. for .
becomes more circular .
=
- gh patial wome (^) -9 =-= V moving e Electric (^) fields
- t -> Equipotential o^ ->^ Equipotential^ o
- (^) - R
- surface^!
surface chage Concentrated^ at surface Equipotential ↑~ (^) ~L ↑x -
- ↑ (^) + (^) IA ->^ - -&^ - i^ L ~I - ↓^ & /?-- (^) sit ↓ ↓ f -^.^ r V = Ve v^ = U = - ve !
(^18). (^9). 2023 i eldsin^ Motions^ inein Ei (^) =mur^ Fg = Fc Er= Ex + Ep (^) I - Ex= =m(a)) (^) GM = m^ e E (^) Gum nee E in R Ex: m V^ = E To (^) escapes G (^) +^ = 0 Ex=^ - Egp -^ Vorb^ =^ X =mves= Vorb =^ F Vess : Fam^ =^ FIV^ (I on^ surface^ of^ planeto) Er = Ek + (^) typ. j · Et = Ek+ Esp.^ ↑Y^ = , vint. for a
& I R I Weightless:^ In^ space (^) everything is^ always in^ freefall. Same Acceleration (^) - Speed (^) , field (^) , but NOT same force.
