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 ballNote=
— 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 .
() NOTQuer- 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-FContact 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=
"{
 
 
MgCann 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 FICont-(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 (SukhEscape 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 RyQuer- 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 ComthKepler'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 axisQuen- 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