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2007-2008
(, 150 , 120 )



( 40 )

, 10 ; 4 , 40 .,֧ ,֧. 4 , 2 , 0 . 1., ,,. F=kv2, f, S0, m, k ( 2 mg mg A. 4m( g S 0 f ) B. 2 2 C. 2 2 D. mg 2 2 2 2S 0 f 4S 0 f 8S 02 f 49 S 0 f )

2. v . 2v , ( ) A., B., C., D., 3.(A.V.Hill)"",, A ,B ,|,,, . v, F, v C F ,,, ( )

A. B. C. D. 4."q",,, 500Hz,, ,, ( ) A.
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B. C. D. 500Hz 5., x t , ( ) A. 4Hz B. 2cm C. t=3s , D. t=4s , 6. S x , x ,, 50Hz, 20m/s,x P,Q ,SP=2.7m,, S ( ) A. P S 7 B. Q S 7 C. P , Q D. P , Q 7.,,. A ., B , C ˧, D ˧. ( ) A. B ˧ B. C ˧ C. AC ˧ D. AD ˧ 8.,a,b , b , ( ) A.,a b B., C.,a b D.,b 9. R,,. ,, ( ) A., B., C., D. 2 gR 10., A,B L,, A , F v1 B , F W1, P1,
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Q1,, v21 , F , v1 A B,, F W2, P2, Q2, A.W1=W2,P1<P2,Q1=Q2 B.W1=W2,P1<P2,Q1>Q2 C.W1>W2,P1=P2,Q1>Q2 D.W1>W2,P1=P2,Q1=Q2 ( )



( 110 )

, 8 , 110 .,, , ա, , ҧզ. 11. (11 ) :A, , d,, ,. 50Hz,s,˨ ( d ) , () .

(1): d/cm v/ms
-1

1 5

2 10

3 20

(2) Ep d Ep= (3),
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. .

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12. ) (4 (1): A. B. C. D. () (2), mB B , H; mA A O , O L,, A , B ,,A C ˧,B ,ڧ D, B , B S. A,B ( A,B PA,PB, PAPB) ,:PA = = ;PB= ;PB= . ; . 13. (12 ), ,. ( R0=6.4103km, g=9.8m/s2,˧) : ;PA ; . () ;

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14. (14 )=30, A,B v=1m/s , m=2kg A , . f=0.6mg,AB l=4m,g 10m/s2, A B t. , t : f mg sin = mal =

1 2 at 2

t.,.,: ,.

15. (13 ). v=20m/s, m=200kg,=0.1, A PA=12Kw, B PB. ( g=10m/s2)

16. (14 ),. ,,, , g=10m/s2, .

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17. (16 ) m=2kg t, M=4kg ,t=0.3,, F=24N M 0.5s , t, Gt, t, t,g 10m/s2,: (1)t s ?? (2)t v2 ? (3)t,t l ?

18. (16 ) A,B ,B mB, ,A mA, vA B,. (1) B , A,B ; (2) mA,mB B A ,? (3) mA,mB B A ,?

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,( 4 , 40 ) 1.C 2.CD 3.B 4.D 5.BC 6.ABD 7.BCD 8.D 9.D 10.B , 11. (1)2.00;4.00;8.00 (2)kd2(k ) (3),. 12. (1)BC;D;ACD (2) m A 2 gL(1 cos ) ;

m A 2 gL(1 cos ) ; 0;

mB S 2 gH 2H

A Ħ, B ;;A,B ;A B . 13. (12 ): R0, h : G

Mm = ma ( R0 + h ) 2

(2 )

: G

Mm = mg R02

(2 )

2 2 R0 R0 a 1 = = : = 2 2 g ( R0 + h) 2.25 (1.5 R0 )

(2 )

: a = : a =

8 9 .8 = m / s 2 = 4 .4 m / s 2 2.25 2.25

(2 )

v2 R0 + h

(2 )

v =

a ( R0 + h) = 4.36 1.5 6.4 10 6 m / s = 6.5km / s

(2 )

14. (14 ):.. (2 ) :
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,: f mg sin = ma a = 1m / s v t1,: t1 = t1 s =

(2 ) (2 )

v = 1s a

(2 ) (2 )

1 2 at1 = 0.5m 2 ls = 3 .5 s v

s < l ,, t 2 = , A B t = t1 + t 2 = 4.5s 15. (13 ): A : N A mg = m : FA = f A = N A : PA = FA v , B : N B + mg = m

(2 ) (2 )

v2 R

(3 )

(1 ) (2 )

v2 R

(3 )

FB = f B = N B PB = FB v
: PB = PA 2 mgv (2 )

: PB = 4 10 3 W

(2 )

16. (14 ) m, l, F1 F2, ,

F1 = mg cos
,

(3 )

F2 mg = m

2 vm l

(3 )



1 2 mv m = mgh = mg (1 cos ) 2
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(3 )

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cos =

3F1 F2 + 2 F1

(3 )

F1=0.5N F2=2.0N,

cos = 0.5, = 60
17. (16 ) (1)t f m = Mg ,G a m ,

a m = f m / m = Mg / m = 0.3 4 10 / 2 = 6m / s 2

(1 )

, Fm ,

Fm = ( M + m)a m = (4 + 2)kg 6m / s 2 = 36 N

(1 )

F = 24 N < Fm , F M,m (1 ) (: F , 3 ) M,m v1 , v1 =

Ft 24 0.5 = m / s = 2m / s M +m 4+2

(1 ) (1 )



0 , m<M,, v1
s

Mv1 mv1 = Mv1
( M m)v1 (4 2) 2 = m / s = 1m / s M 4 1 2 mv1 2

(1 ) (1 ) (2 )

v1 =

, Mgs = 0

s=

mv12 2 22 = m = 0.33m 2Mg 2 0.3 4 10

(1 )

(2),, ,, s, 2m/s,
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,,, . ( 1 ) و v 2 , Mv1 mv1 = ( M + m)v 2 (1 ) (1 )

v2 =

M m ( 4 2) 2 v= m / s = 0.67 m / s M +m 4+2

(3),Y, ,,,, , L, 0

1 ( M + m)v12 = Mgl 2

(2 )

( M + m)v12 (4 + 2) 2 2 l= = m = 1m 2Mg 2 0.3 4 10
t 1m 18. (16 ): (1)A,B , m A v A = m A v + m B v A B A,B , : v = A

(1 )

(2 ) (2 )

1 1 1 2 m A v A = m A v 2 + m B v 2 A B 2 2 2

m A mB vA m A + mB

(1 ) v = B

2m A vA m A + mB

(1 )

(2),A I A = m A v m A v A A I A =

(2 )

2m A m B v A 2m A v A = mA m A + mB +1 mB

(1 )

m A > m B, I A min = 0 m A < m B, I A min = 2m A v A , 2m A v A (3), W A =

(1 ) (1 ) (2 ) (2 )

1 2 m A (v 2 v A ) , A 2

2 v 2 = v A, W A min = 0, m A >> m B m A << m B A

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v = 0, W A min = A

1 1 2 2 m A v A , m A = m B , m A v A (1 ) 2 2

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