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Gravition is a universal chapter.. This will help you to be best in you class... Electrostatics is a wonderful as well as a difficult chapter ... Refering this could change your thoughts
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E ( in te ns it y ) = G UI ERS E- E 3 NOT E: BOT H ARE VE CT O R S AN D FOL LO W R UL E OF V EC TOR ADD IT ION NO TE: ☐ Mas s'M' b r eaks in to t w o F = m ax → m, = ma = mm^ ,^ S^ mz → M = 2 m 2 ) (^) mW a hs e sn oe f vea r uFnor ifoc r e (^) m duGeo (^) dto dbe o (^) an t o t (^) c ec not nes r i d er ma ss to
U ni for m p: GUE R AM I
G= 6 - 6 7 × 10 " Nm ²/ kg²
g → g ra p h
R
ou ts idg e
insi de r= R
✗ CR 8 ) R
2 • gn = ge ( 1 - 21 ) ha ck
F = G# (R- d )pm [ at ce nte r = 0
↑^2 )^ fo^ r^ a^ se^ mi^ -^ ci^ r^ cle = 2 GM R R ' I T 3 ) fo r a qu a dra nt m = 21 12 G M m
m
g
g
R
e qu ato r
'g g
pol e -
g
Fc o so F= mw²r R
R V (^) C=, 09 " R ²P 3
( fu rth est poi nt fro m th e f oc i ) A phe li o n p t. .
= c onse rv ed (a ng u lar m o me n t um)
V mi n K E m in
Vp = V 1 ) P E m a x
V ma x, KE max ,
⟂ m² w c an g ul ar
V , =
= Va
f o r earth [ Mas s - 1 7 Ra d ius = R ] ① O uts ide at an hei ght = H :
h aa r: gn = ge ( 1 - 2 1 ) On the sur fa c e: F= g = ins ide t he su r f ac e : at d ep th d
(i F = GM 'm (R - d ) 2 M ' = # (R - d ) 3
g = G M' ( R - d) 2
g = G # ( R- d) p g e ( 1 - ♀) G MM
f o r H o l l o w S p he re [ Ma ss - M Ra d ius = R] ① O uts id e a t an h eig h t = H :
HR == 43 62 0 40 00 0 km TVc = = (^23 4) - 1 hKe r m l s
N O TE : R o f E a rth: 6 40 0 Km T = 36 5 - 2 5 d ay W o f E a rth : 7. 2 7 ✗ 1 0 - 5 r a d Is 1 7 ✗ w o f Ea r th: 1 - 23 ✗ 10 - 3 r ad I s : We igh tle s sne ss
T= Ci rc um V fer en ce
2 = 4 ¥ 1 1 2 12 3 G M
at sur fa ce
Vn =
R C R + h )
1 + hR
RC R + h )
1 + hR
R
Vc at s ur f ace : 7 - 9 Km ls ]
x
R
ins i de r =R^ o^ ut^ si^ dg^ e
✗ CR 8 )^ R