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    ! "#!$% !&"  
TỔNG HỢP CÁC CÔNG THỨC VẬT LÝ 1 – CHƯƠNG I
1. 
'

()*+,, 
/-0+'



 ++=
• 

-+' ++=
2.  !





=
=
=
"#
"#
"#


++
3. $%&'()*1*+,, 2"&
+3


 ,*-.
2+45
 ,*-/

"#"# '5+ =−+−
 ,*01
2




=+
5


+
 ,*1
2+
6
45+4"
4. 34
• 34(&567



5


=
• 348-

7
7





=


=
→∆
7
9
• :%;34
7
7
7
7



==
• 
/0
-+



 ++=

<=









=
=
=
7
7-

7
7

7
7+

+

+
>?@AA
5. B4
• B4(&567




5


=


• B48-


9

7
7
7
7
7







==


=
→∆
• :%4

/0
-+



 ++=
<=









==
==
==







7
-7
7
7


7
7
7
7

7
+7
7
7

-
-


+
+
>?@AA










+









+






=++=
7
7
7
7
7
7

-

+
-+
 B4C1(DC
7
7



=
 B411(DC
'




=
 


 +=
6. E(D6.CF!(




7
7


9
G

=


===


99

2
H 
7
7
 +=⇒=+=
• 89:;<=
++ +=
9
• >"<="!?@(
 

9

=−
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

2
    ! "#!$% !&"  

-+
 ++=

+"<4?I

,G
'G
'







=⇒=
+"<J4K8(D6/
!(G2"&
L E(@M
"#


G

π
=
L NJ4
"#

2
-
G

1
π
==
L B4A(&

G
5



=
β
L B48-
7
7G

G

=


=
→∆ 9
7
β
+"EK8(D6/CF
!(
βθ
θ
β
βθβ
H

2
H

9


99

9
9
=−=+=
+=

=
GG
7
7
GG
G

GG
7. E(D6:7?
0OI+





=
==
==
9
J
J
9
99

+
++

G+

α
α
0OI









−=
−=
−==

9
9

2
J
J






α
α

P()*Q*1
+"(D67=;3*R
#
7
"



α
J
9
0
v
t =⇒=
 
9 9
7 9
J J
J 
 
 
 
 
α α
α

= =
+"EST74?I
G

U
'G'G  =⇒=


#+"V=>:77;3W7X5?
;;34N(
9


1;1%
7A
α
YZJ(D6;3
+"N7#["[\]V




α
J
9
9
=⇒=
3D



+J
α
J

9
7
==
+">:7??WJ;7X5

9

2
J  −+=
α
Y*
7
&




α
J
9
9
=⇒=
YA





J

9
7
α
+=
MỘT SỐ DẠNG BÀI TẬP
2 ^;567(D6

 ECQ*(D6
1%&
_ ^;34U;34(&U
4U4(&U48-
567
` ^4C1(DCU411
(DC
a ^*(D65
67
b E=;!(D6:7?
567
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"


    ! "#!$% !&"  
3D
TỔNG HỢP CÁC CÔNG THỨC VẬT LÝ 1 – CHƯƠNG II
1.[cF1QO?;3
2 



K K K K= + + +
r r r r
2. Y*de
2 
 9

K K K K= + + + =
r
r r r r
3. Y4
7
ρ
=

4.(3>(ff 
2
9K  K

≠ →
r r
r
: :
K


=
r
r
5.$%&%Z% 

K =
r
r
6.(3>(fff
L L
K K= −
r r

U
L L
K K
r r
=cc4
• @
9
 !"
=


7T;!
7/
K
7
=
r
r
(
/ =
r
r

!<=!B"M?*/ N.
8.C?;!

2
 2



/ / / K 7∆ = − =

r r r
r
<O

2



K 7

r
!+!B"M!P"K
Q
R
ST
6
&
U
K
r

/<A
/
K


=

r
 3
 J
 J
/ 
 
α
α
∆ =
∆ =
9. [c51Qg
2 



7

K V

=
10. c
8 =
r

r
 B4 -
9


)
 V
'
=
 B4 -


# "

)
 V
' 
=
+
<O
 )WX!BU<Y&
 '2Z[\\/ U/]U<Y&
 ="(U<Y&
3
( )




 '


' 
=
+
11.[c=h
• 
K
<
2/&+
• 8#/"
9

/
!
=

• Y@:
9
+ ! != ∆ + ∆
• Y:
9
+ ! != ∆ − ∆
3
( )
9<
K / ! != −
r r
r
<O
 +<=5^"M!_+&

12.$Zc#>"
 3(D6e7?7X1.
QQOc@:
+"i1c
`2a282 
o j?
J

` a 8 K  K
α
= = − = −
o j(4
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

_
    ! "#!$% !&"  
(

22


bUbk29
a
V
/

 
=
 ÷
 

 3(D6?7X1.?
J J

` a 8 8 
α α
= = = =
 B4
#J J " 
α µ α
= −
13.[c7J


K a
µ
=
14.^c7J
 V2&7>#1Zc"^
K
 +
2b&
 V^
( )

R
/ 
K =
 V_lJK
 +
;

( )

/ 
K
K

2b
 >C(
( ) ( )
 
7  
/  / 
K K K K> ⇒ =
 >C(
( )

7 7  
/ 
K K K= ⇒
 >C(
( )

7 7   
/ 
K K K K< ⇒ =
#+"EK8NST
 B4
 2  2
2  2 
  8 8



µ µ
− −
= =
+ +
 [cm#:;;37

"
 2 
# "    = − = −
MỘT SỐ DẠNG BÀI TẬP
1. ^cc7JUcm
QdDU1ZcU cU1cn
2. E=;!U(
2-
3. ^cc51QgUc
d7Un
4. E=;!c=h
5. E=(D6?7X1.
U7X1Z?U(D6
?Q/Q 
6. Ec7JoU7Jc
*Un
J

` a 8 K  K
α
= = − = +
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"


`
    ! "#!$% !&"  
TỔNG HỢP CÁC CÔNG THỨC VẬT LÝ 1 – CHƯƠNG IV
1. EKc
K
r
  J7L K 7 K 7
α
= =
r
r
(
( )
UK 
α
=
r
r
• a^
9
p9 97L
α
= ⇒ =
• a^
9
p9
α
<
O";

97L
⇒ >
*!P"@U
<=.
• a^
9
p9
α
>
O"c
97L⇒ <
*!P""d.
2.EK
K
r
?*<>
L 7L K7= =
∫ ∫
r
r
3.EK7=
K
r
c!
+  -
L 7L K 7+ K 7 K 7-= = + +
∫ ∫ ∫ ∫
4.EKJ(5(&#
5
Ρ

"
# "
5
L
E


Ρ =

5. EKJ(58-

 
7L
 K 
7
Ρ = Ρ =
r
r
6.EK;=KJ(5cQO
(D6'(D
 J  
 
7L K 7 K  7
α θ
= =
l(D

7L
7
ω

Ρ = = M
7.>m
• K'('(&cK
L2E
6
eE
R

• K31
2 
9E E L= ⇒ =
8.m

2
 # "

<
E  f=
 T;!m2
 
 2
 2
 
 
< <
 
L E E= − = −
 >-1;3q'(D




<
C
E
ω
=



<
C
E
ω
=
<O
 C  FgU]"M?h*/&
6
.
 E?X"O"*7N.
 Tm
 
 2
 2
 
 
< <
C G C G
L E E= − = −
#+"3
Y;3q;W(D6 '(D;W(D6

CYAmA
 
 
 
<
 C G
E = +
9.Cm
L
)a
2E
*).
eE
*a.
• Cm -
E

2 -4"
• Cm=h

2



E / +=
• Cm#-"
2 





g g
E /

ε
=
10.E%m
E2E
<
4E

11.V=;*7
^:;3
2 
2 
U
U

 
 
 ÷
 
C;*7(D?d7;
(
o (3Z=
2 2   2 2  
G G    + = +
o *7=h
   
2 2   2 2  

2 
G G
G U G R
   
   
 + = + ⇒ =
o *77!7
2 2   2 
# " R    + = + ⇒ =
MỘT SỐ DẠNG BÀI TẬP
1. ^Kc
2. E=;!mUmU
Cmn
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

a
    ! "#!$% !&"  
TỔNG HỢP CÁC CÔNG THỨC VẬT LÝ 1 – CHƯƠNG VI
1.i1J(5@

2
  G
_
 I 
K
@  @  

= =

2.>

246i$*W.
• .
2
@

:
D@2"&
@
R

R
2@
6

6
• .1
U 

  

=:
2 
2 
 
 
=
• .
U 
@
  


=:
2 
2 
@ @
 
=
3.$%&*@T
9
U`


@ ' ' '
L
= = =
+"EK8@4?
# r "
@
j  !
'
µ
ρ
= =
4.m(&1ds

2 _

 
< 
  / = =

(/

2R,$H&R\
6$
*fNW.
5.V3cQ
 V3cQ(D?s%1ds12
$
 V3cQ(D?st1ds1
2#
 V3cQ(D?s1ds12Z
6.m(&1ds@
3cQ


< 
1
 / =
7.V6(8m@T


1
k  '=
8.C?m
9. j&K(
2 2   2 
# "@ @    @+ = +
10.>Q(@T
 >Q(7@.



1
" '=
 >Q(7@.1


@
1
" '
+
=
11.EK8;!?7
@ @
@
+ ∆ + ∆
=
12.E%;
 R!]2R7
$
2R\
S$

$
 R2R,\R$&R\
#
@2RaN
6
2i$Z 
 R2R$$,$@2R 


 _ _
_
_
# r "U # " uU_229


# "U # " 9U9u_


# "U # " 9U9u_

f
@ a  '
W ! W

@   '
W ! W
 !
@   ! '
! W

⇒ =


⇒ =


⇒ =



MỘT SỐ DẠNG BÀI TẬP
1. 1J(5@*TU
(D4UC
2. E'(&.U.1U.
U
3. C?m@T
4. ^6U1J(5U(D
4
*l.3
LEF%;=
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

b
    ! "#!$% !&"  


1
k  ' ∆ = ∆
TỔNG HỢP CÁC CÔNG THỨC VẬT LÝ 1 – CHƯƠNG VIII
1. >m==7*
kEEE
<
++=
2.C?m=1N
`LE +=∆
+<O
 vK7=3#w"
 P7=3
#w"


k

C?m

 Px\LP>7=
(D!#w"
 vx\LvK7=J#w"
3.K31
"kk`L =⇒=∆⇒== 99U9
4. P(&@:1@
`L`Lk −=⇒=+=∆ 9
5.P(&C?y
`L7k
δδ
+=
6.EK7=@3-

∫ ∫
−==

2


@77LL

7.>Q('(&de
• >Q(?
7
`
"

δ
=
• >Q(7
"
µ
=
3D
"7

` 
µ
δ
=
8.P(&.
2 
2 
@ @
 
=
'
1
k ∆=∆ 


• >7=3
"#





2
@@
1
'
1
k` −=∆=∆=
• >Q(7.
'
1
"


=
9.P(&.1
2 
2 
 
 
=

• EK7=3
k@@@7L


∆−=−−=−=

"#
2

2

• C?m
'
1
k ∆=∆ 


• >7=3
'
1
Lk` ∆
+
=−∆= 



• >Q(7.1
'
1
"
@

+
=
• EK8<D0
'""
8
=−
• jJ41JJ
1
1 +

=
γ
10.P(&.@
R

R
2@
6

6
• EK7=3

2


2

2


'

7
'@7L




=−=−=
∫∫

• C?m
9
=∆
k
• >7=3
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

k
    ! "#!$% !&"  
• EK7=3
9
=
L
• C?m
12.P(&*+
• C?m
'
1
k ∆=∆ 


•  ?<B"
'
1
kL ∆=∆= 


MỘT SỐ DẠNG BÀI TẬP
1. ^'(&.U'(
&.U'(&.1

2. ^K7=3
'(&
3. ^C?m

4. nnnnn

2
2


@
@
'


'LLk` −==−=−∆=
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

u
    ! "#!$% !&"  
TỔNG HỢP CÁC CÔNG THỨC VẬT LÝ 1 – CHƯƠNG IX
1.P(&3
• L

2L
?
• `
?
2`
m

2.j(J(5%
2

2
2
2
G
2
G
G
`
`
`
``
`
L
−=

==
η
3.jJ4=7*7D=7*
2

G ``
`
L
`

==
ε

4. j(J(5(&(3

• E(&(3*="9.
2

2


−=
η
• E(&* U! !.
2



L
`

==
ε
Q<O"O
2

2


−≤
η

5.C?z1I*2;=

07(&(3
( )
( )

−=∆

2
2


`
nnn
δ
• 4;@T






+=






+=∆
2


2

2

2






@
@

)


'



)
n
8

µ
µ
EST%;lwrY
o V6(8(D?T
ff


≥∆

`
n
δ
o >(D?Tm01
9≥∆n
MỘT SỐ DẠNG BÀI TẬP
1. ^(J(5%#
%U%*n"
2. ^E'(&(3U
%
3. ^=;!(D?T
z1
AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

p
    ! "#!$% !&"  
MỘT SỐ CÔNG THỨC BỔ XUNG VẬT LÝ 1
1. 3(D6.!(
9


=

K

2.
a. E(D6.QN!(

5


= +
b. E(D637QN!(
5


= −
3.

K


K


α
7

α
7






#j&"#j&_"
 4;&

( )
αα
−==
9
2u9UG K


 4;&_
( )
9
p9UG +==
αα
K


AB@">""9C,CC,C,C,CCC,CD&EF5FGGG&"6H&5!@&"

29
* N.7\97




9*.
6,##
S6
*:R.

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