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Vaät Lyù 10 cô baûn           !" # $!        %  & ' ()* # $( # + , -. # -)*  /-. # -)*  (   %  & ' ()* # $( # + ,   0(  1  $ ' 2.  3.$.  (1 # &  4 #   ∆ 5  ()* # $$1)  $2 # ) , $1$ ' -. # 2) # $6  7) # &    0!      8 ' ()* # $$  $&   # 9(* ' ! ! ' & # ! :85 ' & # 9  . # $ # 9;- ' /6+  4 # 6  -)*  * # 96 # $.    0$.   ' 7$1! :<= # 92 # >  )  $6    0( , . # $* ' 2*  9?! !  -+   ' 4 # ! !@ ' -&  $ ,  :( # + , 6  $1)  $(1 # 0! !  *  ! <. # (1 # $ '   .6 <. # (1 # $ ' . # $7 1 # 4 :-.$  $-)*  * # 97 A  " ,     (0 #   6  .  $  ( )* AB ' &    (* ' 1 # (1 # $.  ( #  :.    2. #   0C :%  9  . # $ # 971   A-. # -)*  2  +  C AD   #   .$.  $.  -. #  -)*  C A5  & ' )  $-. # 2) # $$ ' 6 #  $.  >1  2)* # ! A   #   1 #   ( '   -.  -. #  -)*    (0 # $  $6 # >  $ +  -. # -)*  $.$   $  $1  $&0  >  $ C # 7.C :E  $ # $- ' 2*  (  F ()->  2 # ! :851&  .>   # -. #  -)*  (  !                            :<7- ' 2*  $  $$. ' 85(0 #  -G$  $6 # (.  (  $.  0 2)* # ;(.  2    06+  $.  >1   2)* # 6  * ' 1 # (1 # $.  ( #  7.6*  0 # (  H :<7- ' 2*  G2. #   94, F(  1  H         !     "  "#   :I  6 # $$  -9  ! :-+  &  >  J ' -)*  $2*  9F  ' .2 # ( ' $.  >  J ' (  ! AI  -)*  <D4.-  (  4 -! A '  # 2  $ ' -. # -)*   2  $  $6 # & # K  G$.  -. #  2) # $H! A  = r r A ( )       = +    = 5*    = ( )      ⇒ = + GLH :)  & ' )  $GLH    ∉ !  # 1 # 6 # -+  )+   )! !  0-. # -)*   !-. # -)*   :-. # -)*  2  -)*   <D4.-  (  4-! : '  # 2  $ ' -. #  -)*  2  $  $6 # & # K   G$.  -. # 2) # $H!  = r r  Vaät Lyù 10 cô baûn  : 8. #  7 9   & '  2 #  K   -. # -)*  ! :I      .( ' +  ()* # $ -. # -)*  $ ' 1 # 6 # * ' 1 #  (1 # $.M7.6*  0 # (  C :  <D 7 7  2 #   >    J '    = :5 # $.   ' K  01 # $  $ ( # 2)* # C :85 # 3N  ;$7(   4  K-.8@! :$ ' 6 # * ' 0 # (  &0  &. C :O ' 0 # (      = + , 2  $. #  0 # (  2  1  $+  ! :  $N- ' 2*  ! :)*) # ))$. #  1  $+   # ; # PC :  5 # $  $. #   1  $    2     '  )* ' (    - # $ ' 1 # 6 #  * ' 6 # -+    ( # 7.6*  0 # (  ! :"1 # 6 # $.  >1  2)* # -*)  ( ' "$.  (1 # $.M " (  ( '  $.  (1 # $.M  7.6*  0 # (  !+   $1$ ' -. # 2) # $  $4 # 2 6 # C :5 # ) , $1$ ' -. # 2) # $6  7) # &  $ ' 6 # $.  2  # +  C :     # J ' !C :  $N2  !     $    !       %"  "#   :    ( ' - ' 2*  $  $$. '  :-)*  $>$ # 6  .$. # $&     $.  (1 # 0! :1  6 # ) # $ # >-* 31    (    2*    &0    $1  $ '  -. # 2) # $ !   = =      = = :- ' 2*  G    =  # Q;    >  # P;    <  # H :- ' 2*  $. ' $ ' 6!     &    '    (   )         *     "  '   :I  6 # $$   : ' .2 # ( ' $.  >  J ' (     ! ( )  !  !      = − = − ( ) ( )       != − :0   :- ' 2*  ! !  0-. # -)*   !K # + ,     0-. # -)*   $ ' 1 # 6 # 2  4 # 0 2)* # )*  $) , -   (  F6 # ;9 # 1 # $6  . 6 # -+  $ ' 6 # -.-. #  -)*  ! &! ' )  $ =    :O ' 0 # (      = + ,  2  $. # 0 # (  2  1  $ +   !I # ) , &      0  F  $1  $ '  -. # 2) # $! ( )  !  !       = − = − ( ) ( )       ! = − :< # J '  A@6 #  ' (1 # $.    '   -. #   2) # $ 7$1GAH A@6 # 0(1 # $. 0-. # 2) # $7 $1G:H     +    ,-%  -  ! :R$  7 ' &   # 971  8@ :5    . # $&  2    9$  $&   # 9-./$ ' & # &    9N.!         GH ! ' & # ! 85 ' & # 9  . # $ # 9! <= # 92 # ( # 2 # <  $ !  -+   ' 4 # ! !@ ' -&  $ ,  ( # + , F  + , $ '   0-. # -)*  C !  *  !  Vaọt Lyự 10 cụ baỷn <. # (1 # $ ' .6 <. # (1 # $ ' . # $7 1 # 4 :% 9 . # $ # 971 A"1 # 6 # $. >1 2)* # 0 6 .2. 3.( 1 $. (1 # $) >/( >$ ' 2. 3.) , $1 ( # !@N .6 # ->. ' 6 # -+ $&0 -1 ' G+ 6N , H AI) # $( 1 $. ' ) # $ # $1 ()* # $>1C :<)* 4,7 ' .2 # ( ' + > J ' ( ! : $. # $ GAH2 $ 0(1 # 4 $ ' 2. 3.+ = 6 ( ) ( ) + = = ( ) = K 2 $1 ) $ + $1$ ' 2) # $( 1 ! ( ) = :.72 1 # 71 & # 96 # 4 # ! ! ' : 2 -9 ! A@ ' 6 # 2. 3.& # & 4 # 3 # 2) # $( 1 !I) # $ $. 7$16+ ( ' (0 # $ ' 2) # $ 4 # $ $ ' ! A$. PST!7;-.(. = 6 " = - ( ) = ! % :<7 # ! ( ) = $ ! ) :<72 N.$ 6 ! 0( 1 !1$ ' 2) # $( 1 0 l 0 l l l= + F r ( ) = ! 0( 1 ( ) = <. # (1 # ' $1 /40 # 4. ! :- ' 2* $. ' -.8@ # 2* 9! :I $ $& # 9-.8@! U +. !" # $! 2 # 9F6 ()* # $& ' ) $+ $*0$ ' 1 # 6 # $ ' (1 # -.-. # -)* ! % & ' ()* # $( # 2 # & ' $*0$ ' 1 # 6 # $ ' (1 # -.-. # -)* ! % & ' ()* # $KI$*0$ ' 6 # $ ' (1 # 4)* $4 # $ ' 2) # $( 1 $ ' 2. 3.! 5 # 4 # ( # 2 # & ' $ ' 1 # 6 # $ ' (1 # -.-. # -)* ( ' ' 1 # 71 & . (* ' ! 5 ()* # $& ' ) $+ $*0$ ' 6 # $ ' (1 # 4)* $4 # $ ' 2) # $( 1 ! ' & # ! 85 ' & # 4 # $ # -) # $JG$.20 $2. 3./$.20 $(*/VH ! -+ ' 4 # ! !@ ' -& $ , :Phát biểu va viết biểu thức của thế năng đàn hồi * ! <. # (1 # $ ' .6 <. # (1 # $ ' . # $7 1 # 4 Vaọt Lyự 10 cụ baỷn :O ' 2* 9?N( , & $*02 + C :5 # $ 3N 2 2)* # -)* * # 9! :< , ( # + , F6 & ' ) $+ $*0$ ' 6 # $ ' (1 # -. -. # -)* :% 9 . # $ # 971 "1 # 6 # $. >1 2)* # $ ' (1 # -.-. # -)* ) 6 # -+ "( ! " A< , + $1$ ' 2) # $&0 $ $$. ' C A.7 $*0$ ' 6 # * ' "F L8* # .7 & ' ) $+ $1 P " C :E $ # > J ' F> J ! :*02 + C "1 # 6 # $. >1 2)* # U>-*) (1 # $.31 0 # ( !) $$ ' >1 ( > ' !I S7 G+ 6N , H + $*0$ ' 6 # * ' $ $6 # -+ A $0 # ( A $0 # ( A5 # $ # 31 ( # 3N 6 7) # & (1 ' $ ' ủ W 6 / # % / 0 "" "# :5 # $. > ' 07$1 . 6 # $. $*0!* 0$ ' 6 # &0 1 ' 06 (1 # 0$ ' . ! : K1 ' (1 # 0 F 0$ ' 6 # ()* # $. # 2 $*0$ ' 6 # !@+ # W = + = + 2 1 2 ủ t W W W mv mgz :<72 6 # $$ - 9 ! A. $ $+ $1 ( ) ( ) = MN t t A W M W N = + 2 2 1 1 2 2 MN N M A mv mv A.7 ( ) ( ) ( ) ( ) = t t ủ ủ W M W N W N W M ( ) ( ) ( ) ( ) + = + t ủ t ủ W M W M W N W N = M N W W :@1 # 6 # $ ' (1 # -.-. # -)* $+ ' $ # $4 # $ ' -. # 2) # $+ = + = ủ t W W W haống soỏ + = 2 1 2 hay mv mgz haống soỏ + $*0$ ' 6 # A = 0 ủ W ; = = 500 t A W mgz J = + = 500 A ủ t W W W J A = = = 2 1 1 200 2 ủ B W mv mgz J = = 2 300 t W mgz J = + = 500 B ủ t W W W J A = = = 2 1 500 2 ủ D W mv mgz J = 0 t W = + = 500 D ủ t W W W J ' . 2 # 6 !*0$ ' 6 # $ ' (1 # -.-. # -)* ! !K # + , 1 ' (1 # 0 F 0$ ' 6 # ()* # $. # 2 $* 0$ ' 6 # ! @+ # W = + = + 2 1 2 ủ t W W W mv mgz !) # & ' $*0$ ' 6 # $ ' (1 # -. -. # -)* ! @1 # 6 # $ ' (1 # -.-. # -)* $+ ' $ # $4 # $ ' -. # 2) # $+ $* 0 $ ' 6 # 2 ( # 2)* # & ' ! = + = ủ t W W W haống soỏ + = 2 1 2 hay mv mgz haống soỏ !< # J ' : (1 # 0 ' + 00G(1 # 0 $ ' . 0H 6 )* # $2 # ! : # 6 # -+ .(1 # 0 $) # $ ( # + 0 $) # $ ' 6 )* # $2 # ! Vaọt Lyự 10 cụ baỷn t W $ ' 6 # C L< # J ' 7) $$ ' $ ' 1-)* ( > ' + > J ' -$. ( >1C :)*) # $. ' ( # + , $* 0$ ' 6 # $ # $4 # $ ' 2) # $( 1 ) .C :< , 6 $1) $+ $*0-. -)* * # 9 ! : $N- ' 2* :-.J -+ $ ' (1 # + P6 $. (1 3) JQ>1C6+ 7.C :R$ 7- ' 2* ! $ $ # 3N A t W ' + ủ W 0 6 )* # $2 # ! A O ' 6 # -+ t W $) # $( # + = 0 ủ W 6 )* # $2 # ! 5+ $. 7) $$ ' 6 # >1 -* ) # 4. >1 + ()* # $ 6 # 1 $ &0 $1 ) $ = 1v gh / #% / - ' :- ' 2* ( ) = + = 2 2 1 1 2 2 W mv k l haống soỏ $ 1 - ' ) # % : $. ! :@1(1 3) JQ6+ $. 7) $$ ' $ ' >1>+ ! :"1 # 72& ' ' ! : ' .2 # ( ' $. # > J ' ( ! = = 50 A W mgh m = = 2 1 18 2 B B W mv m > A B W W 5 # $*0 ' ! !*0$ ' 6 # $ # $ 4 # $ ' 2) # $( 1 ! @6 # $+ ' $ # $4 # $ ' 2) # $( 1 &* ' 7) # & 4 # $ ' 2. 3.( 1 + -.J -+ $ ' (1 # $ ' 6 # /$*0()* # $ + &0 1 ' (1 # 0 6 0( 1 $ ' 6 # 2 1 # ( # 2)* # & ' ! ( ) = + = 2 2 1 1 2 2 W mv k l haống soỏ + ,-% - :5 $1) $+ $*0$ ' 6 # $ ' (1 # -.-. # -)* /$ # $4 # 2) # $( 1 ! :I $ $-.8@/! 23 45 6 !" # $! =2 # > ) $6 (1 # 0/ 0/$*0! 5 # 4 # ( ' ' $ $4 # & # 9$. 2J! # $% & ! ' & # ! 85 ' & # 1 # 71 & # 9. 8@ <I $ ' $ $& # 9$ ' $ $& . # $-! ! -+ ' 4 # ! U Vaät Lyù 10 cô baûn  !  *  ! <. # (1 # $ '   .6 <. # (1 # $ ' . # $7 1 # 4 :( # + , F6  $1)  $+   (1 # 0C :( # + , F6  $1)  $$ '    0-. # -)*  /  0(   1  C K # 2 # & ' ..  $*0C 2   "1 #   6 #   0 #   $.    '  $ '  (1 # >17  -0 # &  0   ()* # $0  6*  1 # 2.  3.$.  (1 # $)    2   ?    F  $.   >1    2)* #  >1(  > ' !)*  N  2.  3.7. $.(1 # 4  2.  3. ' ($/-1  &. ' -!+  6 # 1  $$ ' 6 # >(J 5! :  $N , (. # $F9+  $(  &  C :E  $( # 02)* # $ '  # * ' 6 # -+  (  G>2.  3.& # N  HF6 # -+  $1  G> 2.  3.(J5H! :P  94 # KI$*0! :+  6 # 1  $$ ' 6 # ! 2   "1 # 6 # $.  >1  2)* # >-* >16 # 1  $(  )  (1 # $.! !+  6 # 1  $$ ' 6 # -)*  $> $ # (  !. ' J7)  $$ ' $ ' >1 >+  ! &!) # $-6 # 1  $$ ' 6 # -)*  $ >$ # (  $+ ' &0  7!+  2) # $ $ ' -&+  $ ' >1>+    $4 #  26 # C :  $N(. # $> ' F9+  $(  &  ! :8. # 72& '  ' /$  $N$.  2 #  ) # 2  6  . # 9! :< , 3  $( # 6 # $12 # 9 :E  $( # $*0$ ' 6 # * ' - #    (  /6  - #   $1  ! :P  94 # KI$*0!           7  !       ' 8 :  - ' 2*  $. ' $ '  6!         9  )    %  " :<76  (  +  $.   6)*  0  $$)2  ()* # $! :<7(. # $F9+  $(  ! :<7(. # $F9+  $(  &  ! !5+  &. ' J7)  $$ ' >>  # 2  $12 # 9$.   '   94 #  ()* # $KI$*0! &! .   7)  $  $ ' >>  # >1$12 # 9/>1 '   9 4 # ()* # $KI$*0!   8 '  :02)* # $ '  # * ' 6 # -+  2.  3.& # N   1 1 1 1ñ thd tñh W W W W= + + :0 2)* #  $ '  # > J5 2 2 2 2ñ thd tñh W W W W= + + :P  94 # KI$*0! 1 1 1 2 2 2ñ thd tñh ñ thd tñh W W W W W W + + = + + :5+  $ ' (1 # -0 #  0           0   94,>1(1 '  1 2thd thd W W= 1 1 2 2ñ tñh ñ tñh W W W W+ = + ( ) 2 2 1 1 0 0 2 2 k l mv⇔ + ∆ = + 0,25 / k v l m s m = ∆ =   8 '  . # 1  $ # 0 # (   2 1 0 0 1 2 W mv mgz= + 2 2 1 2 W mv mgz= + :$*0()* # $& ' ..   2 2 0 0 1 1 2 2 mv mgz mv mgz+ = + 2 0 1 0 2 mv mgz⇔ − = 2 8,85 /v gz m s⇒ = =  2 0 1 ' 2 mv mgz A− = "   .A F s= 2 0 1 ' . 2 mv mgz F s⇔ − = 2 0 ' 15,9 2 mv mgz F N s − ⇒ = = −     +    ,-%  -   :  $N6    . # $&  &  2    9$  $&   # 9$.  2 # -.8@/  D  Vaät Lyù 10 cô baûn  IX94YP//?    %  << Z # <Q #  )*5<[  @<    ?[  \P # Q<[  :<\RZ  K= # 8<Q # %<[] ' <[   @<  !" # $!        %  & ' ()* # $$  $1 # 4$*& ' 6  $   # .$  ! %  & ' ()* # $$  $1 # 4$*& ' 6    (1 # . # $9) ' $  >+       8 ' +  $()* # $7) # >  $) , $  $ ' -0  /2. ' />+  #  $% &  ! ' & # ! 85P ' $ # 9$  $9) ' 72$J>+   ' 6 # ( # ! !  -+   ' 4 # ! != ' ( # 2*  9 !  *  ! <. # (1 # $ '   .6 <. # (1 # $ ' . # $7 1 # 4 :O ' 2*  9?N( , &  6  $   # .$   C : # 7.. # 6 # (  ()* # $$   # .)  $  $9$ ' (1 # >1)  2 #  >1& # - ' -  )  9-& # C :  ) , $  $9(.  $.  2) # $  +   #  7.N  >+  /N  $  2. ' F4  . '  6 # -0  >.  >0C :  $N(. # $& ' 1+  6  2) # $   F2) # $( ' 9-.8@! :<)*  4,I( ' 3  $ # $  $4) # (.  (  ! :  $N2  / :( , &  6 # $  1   # * '  ' -0  / 2. ' />+  $  3N  $  $ ' (.  ! A  >+  $.  ) , +  $  (0 # $& #    .C A  -0  $.  ) , +  $  (0 # $& #    .C A  2. ' $.  ) , +  $  (0 # $ & #   .C : ' 2*  9 # 3N  /&1 ' 7853  $  # $- ' 2*  (  ! :) # >  $) , $  $ '   ()* # $  ' +  $-$*7* '   .C         /         :- ' 2*  $. ' $ ' 85 :5+  ) , $  $9$.  2) # $( '  :K)-4) # (.  ! :- ' 2*  / A8) , $  $/9$.  2) # $   6  2) # $  $+ ' (  > ' > $  $/9  ! :  - '  2*    $  $  $ . '   (.  /   ' .2 # ( ' +   >  J ' (  ! !   # .$   !) ,  (  ( , &  6  $   # .$  ! :  $9) ' ()* # $$   # . )  $  $ # -& # 2  9 ) ' ; :  $9) ' $ ' (1 #  >1)  ; :  $9) ' $ ' (1 #  $  +   # (1 # $ '  6 # $  $.! !I) # $)*  $9) ' ! K1 # 2*  2) # $)*  $9 ) '  9 #  1 # $ 6  . >. '  $  $) , $  $9) ' @ >. '  $  $  $  $  9 ) ' . ' +  2) # $( '  # * 2) # $    /  >  >. '   $  $ ) , $  $9) ' 2*  +  2) # $    # *2) # $( ' ! !  $ ' -0  /2. ' />+  ! I) # $  )*    $  ) ,   $  $ 9  ) '  $    2. '    #  *2) # $)*  $) , $  $ 9) ' $  >+  F  * 2) # $)*  $) , $  $9 ) ' $  -0  !  Vaät Lyù 10 cô baûn  A # 7.$  >+  >1$.  +  4 # /  ' +  $-C A # 7.$  2. ' >1$.  +  4 #  -/ ' +  $3  $( # C A # 7.$  -0  $.  +  4 # / ' +  $3  $( # C :863  $ # $- ' 2*  (  ! :5 # 2) # $)*  $) , $  $9* '  '   .2*    C. '   C # 7.C :  &    (1 # . # $9$   >+  -(*  6  .) , 0(    >+ ' E5 !  7N , +   ' ) , 1 #  4$*& ' $ '   ! :1 # 4  (1 # . # $9$  >+  $.&  (  +  C :5+  7.$  >+    97  2   &+   :E  $ #   >  (  /1&  .>    # >+  2  )* ' ! :2  2)* # $  $$. '  A # 7.-.)*  $./1  /71/& '  2 # >1$.  >1>+  0 # $4  >1 >+  N # *)*  $-    C :- ' 2*  2  2)* # $  $$. '  $ ' 85 :I) # $)*  $) , $  $9 $    2. '    #   *  2) # $ )*  $) , $  $9) ' $    >+   F      *  2) # $ )*  $) , $  $9$   -0  !            -  0               !   :- ' 2*    >  $   :I*  9&1 ' 7) ,   $.      :  $96$ # 6  .   &+    $4 # 2  &+   1 # 2) # $(  > '     $1  -   :8 ' +  $2  2)* # $  $ #  )* # ! !    (1 #  . # $9 ) ' $  >+  !  1 #   4  $*  & '   $ '    ! :  >+  ()* # $$   # .)  $  $   #   -  2N ' /  $.   >+  $ )*  $  -    . 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B   -+    &    (1 '   - #    -.(.   # (1 # ()* # $ ) , >1 (1 '  . #  2  J  -+  (0 '  # ! !K # 2 # 1:2*`": -:1 !K0 # 6  (  !+   #  !K # 2 # 1:2*`": -:1  Vaọt Lyự 10 cụ baỷn &( C : -+ 2 (1 ' ' + $ >+ (. # $ - # ' + $F 97 )*) 6 .& ' I! I! I! 5G$ H 9GH ) (. - -> 2 # 6 J) , 9 7 6 ' + $>+ C :"J $. ' 4,( # &0 & ' ) $ .C :K. $+ 2 & ' ) $4. & $ . # $.:2*6 "-:1 + -6 2 & ' ) $$ ' ( # 2 # 1! :K2 # 9 & ' )7-. J -+ (0 ' # $ ' 1 # 2)* # >+ ( # / 97 + ' 2 # # $6* ' + $! :K ' ()* # $ 1 # $ $-) # $ J J ) , 5 6 9 , & ' 4, $ &0 (1 # ! :< , $.& 4 # $ ' (1 # a y x = :"1 J # pV haống soỏ= $. ' 6 4)* 4 # haống soỏ p V = : $. # # - # $. # (1 # 1 - # $ & ' 4, 97 /- # $. & ' 4, ' + $!) & ' > J ' $ $ . , 6N , (1 # & ' 4,7) # 9 # 1 # $$ ' 96 . ' + $5! $) F(. # $ - # ' + $F 97 &( $ ' >+ G5S$ ; 9 7 9SH :<7(. # $ - # 6 .& ' :J) , 97 6 ' + $! : @ J . # 3N ; ()-& ' ) $ 1 2 1 1 2 2 2 1 V p p V p V V p = = 1 pV haống soỏ hay p V = : 2 - ( 8 ( * 9 '# ! B ! ! 0 )% :D > ) $. . # $ ( ' - ' 2* ! G(1 # 2 1 # $9N&.2H :I 6 # $N 9 b Q5 1 2 1 1 2 2 2 1 V p p V p V V p = = =: 1 p hay pV haống soỏ V -. J -+ (0 ' # $ ' 1 # 2)* # >+ ( # / 9 7 + ' 2 # # $6* ' + $! !K)* (0 ' # 9 b Q 5 # 3N K)* 2 ()* 9N&.2 K)* (0 ' # * ' - ) 6* # (1 # $.* ()* (0 ' # * ' 4)* ! + ,-% - : .2 J -+ (0 ' # C< , ' + $( # 2 # 1:2*":-:1 N. (1 # . # $ 9) ' :5 . # $F2 # & 6 . # 9/$ ' & # & 9N.!

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