"
2010
Gravitation 201N 2012
~
Vorbital
+
velocity ofaplanetat
distance , ri → ↳
gn=%s:Findh
Gravitational field ?
% -1¥ 9h=9ˢ(,¥n2:h÷n=%
At distance / ra→
duetoearlh
Vir , =V2rg
•
P (Potential)p ?
Rp=2Re
910=9,2%1
Ka =
+ Ivp) mass Time period :
" shell
pp=pe 2) T'
veseape.p.gg#gpri=l5R-'
' →
M =f% -11-2%4 r2=l2RtR)→ -12 ? ?
2013
=
4qMp_
DR
surface
!÷T¥ ¥ -11%12
MG hfrom surface :2R
=
,
20114
4m
-9¥ ;PEf= G¥m Compressing earth
>
PEi=
-
2%9 219
work done __PEf -
PEI 1.21.29
01m
' •
such that it
becomes a black
=3
.GM_m=_}mgR
3
2m
> hole
3×108
Vescape =
-9¥ / +21+1--1
Vo= '
?%÷
=
2017
Astronauts 0in
gravity free space -29,1%
=
2015
will move towards eachother in
whence satellite moves
duetofgravity .
4=0.25 ✗ 106M elliptical orbit ,thea→%
directed towards
gn=gd 106m
always
the centre
tt 12=6-38 ✗ .
2h=d
Gravitational potential and aroundthe
earth %ET2=kr3iF=Gmjrˢ
acceleration at h' from
'
surface →
Vo2=GY-
-1-5.4×1071=-4%2
-12=4%2,127
vg T=2Ir ;
ngearth No
g=6m1s2=GM_
(h -11212
2016
1-2=4*-2 .rs
Total energy of a satellite > r
B
=
1- KE ) Rp=2Re ;
2018 ???
MVOZ
Pp=2pe A
. . _ . :* - - - - - • c
G-
=
-
"
Vescape 12,811-391 9=4,7-2
"
-_
=
-12M '_h, ¥e='¥e[¥ 9×10 Va
re > rb
> V13
> PA
'Ve
9×10 KEA > KEB > KEC