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# (-第二版)-习题解答-张三慧-清华大学出版社

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( )

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1 ( 1) 1 ( 1) 2 ( 19) 3 ( 42) 4

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1 11( 118) 1920 021 / a ( [ ]

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s2 = v2 2 0 2a = 18 2 275 = 217 m s

• Page 9 and 10:

t 1 = 184 s, t 1 = 122 s t u = v 1

• Page 11 and 12:

a = du dt = 8j t = 1s , r 1 = 2i -

• Page 13 and 14:

y = x tan - cos 2 = ( 1 + tan 2

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= - 422 m 422m 115 610 4 r/ min

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16 121 a = a 2 n + a 2 t = 025 2 +

• Page 19 and 20:

05s 15m a = 12m/ s 2 , t 0 = 05s

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30 127 A v A = 1000km/ h ( ) ,

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2 21F M ( 21) F , k

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( 2) T 1 T 2 ( 1) , a1 a2 a3,

• Page 27 and 28:

( 2) T = 11T = 11Mg / 2, 2T a =

• Page 29 and 30:

( 2) 27 T = mA gsin - kA m Ag cos

• Page 31 and 32:

k= k1+ k 2 ( 1) , F , x

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( 1) 213 , , x : N sin + f cos = m

• Page 35 and 36:

M= 4 2 R 3 = GT 2 G Mm R 2 = m 4 2

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T m in= 3 G = 3 = 6910 3 66710 - 11

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, , , , G Mm r 2 + m 2 =

• Page 41 and 42:

a n 2/ g = 4 2 2 r 2/ g = 4 2 5104

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v = 2a l = 2( a - kg ) l = = 29 m

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, 50m, 0062kg/ m 3 , 40m

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= 2 00520 = 141 N ¡¤s 33 m = 014k

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, 424 10 4 N , 90 36

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p 2= 53310 - 2 1 k gm / s p 3 ,

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312v 0 , , 45 , 45 ,

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316, , , ? v f u , vf-

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v= 210m / s, dm 1 dM = 75kg/ s, = -

• Page 59 and 60:

BO = m2 m1 A O = / 16 1 - / 16 AO

• Page 61 and 62:

, r 2 = r 1v1 v 2 mr 1v1 = mr 2v

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, , m , mr 0v0 = mrv v = v 0 3

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4 41 ( 41) ( ) M= 1 200k g, m=

• Page 67 and 68:

A g= - mg sinRd = mg R( cos - 1)

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, F A = - F s dt = - qv 2 2 4

• Page 71 and 72:

A A B = B F ¡¤dr B = F ¡¤( dr

• Page 73 and 74:

E p 1= 1 2 k ( y + y 0) 2 - 1 2 ky

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= 1 05 [ 89( 0882 - 055 2 ) - 20598

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B , B A , x m V A B , mv

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v 10 , v1 v 2 m 1= m2 , v1 0= v

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, M M+ m E k m M , V= mv m+ M v m

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415423 ( 1 ) ( ) E s

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( 1) 100km ( 2)

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= 1610 2 4 J ( 10 18 J) 10 6 427

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3 , 200 , ? T M 3

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E a vE k E av= M N E k m+ M N E

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5 51 125 , v = 25m/ sR = 10m

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v = a = 5154 2 Rcos = 86400 6370

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J B B = 2mH d 2 cos 2 2 , d = J A

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J 1 J 2 , a , J 1= 1 2 m 1

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512 59 R 1 R2, M 1 M 2 , ,

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= 1 2 mr 2 2 = 1 2 J 2 515 ,

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v = 2m 1g h - kh 2 m 1 + m/ 2 = 200

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m = 80g v = 200m/ s , d = 3L/ 4 (

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? 70kg, 310 5 kgm 2 ( 3) 30 ,

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= 41810 10 s = 1300 a 525 033MR 2 ,

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M = 515527 dL dt = 17910 2 2 N ¡

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6 61 S , l , x , S x x = x

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65 S , 2sS 3s S S , x 1 = x 2,

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, 6268 c30 = 910 9 m ( 2) , , l

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63610 ( 1) S t 2 = t 1 + t 12 =

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095c ( 2) ( 5s ) 1, 2, ,

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t t x = vdt = 0 0 F t/ m 0 [ 1 +

• Page 127 and 128:

B = F ev F ec = 1210 - 11 1610 - 19

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( 4) 3910 26 ( 62010 14 ) = 62910

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= m 0c 2 1 - 1 125 2 = 167m 0c 2 62

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2 1 11 , 66510 3 Pa ?

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km / 10 2 Pa / ( kg/ m 3 ) 20 5. 51

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? ( 1) p 1 = CVm 1 V m 1 p 1V m1

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750mmH g , 590mmH g 290g/ mol p

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p p 0 ( 2) 0 , ln 1- ( 116) dp p =

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1g E m, O 2 = 2 RT = 5 2 831300 =

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f ( v) = a v/ v 0( 0 v v0) f ( v) =

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N N 2 = = 4 ( 10 vp) 2 3 e - ( 10

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CO 2 H 2 ?CO 2 H 2 ( , 96% CO 2 )

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vr ms , a m = 3RT M am v rm s, pr

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RT ln 0 N A = 4 3 a 3 ( - ( 2)

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= RT c = , a = V m, c 3 8a 9V m ,

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u = 2 v 222 3810 - = kT 2 d 2

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226 60km/ h, , 500m/ s 110 - ??

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x 2 = x 1 gla s s ai r = 1 072 =

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( 3) VT 32 32 31 ( 3) 321mol V 1

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300K, ? Q = C p , m T = m M 2QM T

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= 3831429ln 40 20 A= = 74110 3 J =

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p = p 0 1 - Mg h Cp , mT 0 / ( -

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E 1 + p 1V1 = E 2 + p 2V2 E + p V

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= Cp , m CV , m = T 1 - T 0 T 2 - T

• Page 175 and 176:

p B( 004 - V B) = 4210 2 B , p B

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d a Q 2 = CV , m ( T d - T a ) = 1

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1 2 : = 1 + ( 1 - 1) 2

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? 310 326 ( 2) ,

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, ) 12 34 Q 1 = RT 1ln V 1 V 2 Q

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4 4. 11mol ( ) 4. 1 a b c 4141

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= m c1ln T 2 T 1 + + c2ln T 3 + L

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( 2) 1kg , 0, 50 , 100 ( ) ,

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= T 2 T 1 Cp , mdT T + T 3 T 2 CV ,

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S T = Q Rln T 1= V2 V1 = p 1V 1 ln

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( p 1 + p 2) 2 > 4p 1p 2, S > 0

• Page 197 and 198:

T dS = CV , mdT + = CV , mdT + a dV

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3 1 11 a , q,

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2 3 e , d 1 3 e , ( 1010 - 15 m

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E r = E rcos i + E rsin j = 2p r c

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, , E = d = 4 0r 2 qd 4 0r 2

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= e = 0E e = 88510- 12 120 1. 610

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19120 d > D / 2 , qint = DS , E =

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= 34610 11 V/ m 124, , : = b , b=

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= 92e = 4 3 r 3 0 E = - 1 9 921.

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e = - E x , a a 2 + E x , 2a a 2 =

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( 3) q0 x = r y , x F = dF = dy

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2 21 , 2cm, 20cm, 10cm,

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= 1010 12 V / m 24 : v a

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, ( 2) ? ( 1) q 1 q2 1 = 2 = 1

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U 12 = R 2 R 1 E dr = R 2 R 1 dr 2

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( 1) r , dr x d= 2 r dr 4 0 r

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32 314 32 x = q 4 0 1 R 2 + x -

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q1 q2 x , x x y x , , x

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x 2 dy - 2x ydx - dy - y 2 d - x

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321 36 , , 1 = 1210 - 4 C/ m

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323 ( 1) , ? ( 2) , m 0 E

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e m e R ?R ?( R , 10 - 18 m ) ,

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, E p= - Gm m A u r 2 mi n = 66710

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W = - mee 4 1 2( 4 0) 2 h 2 2 ( 3)

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1 = , 1 4 0 q1 R 1 - q1 R 2 + Q +

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4542 , , , 13 10 - 5 C/ m 2 ?

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f = f S = 2 / ( 2 0) , f , en

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410 q h q , 2h q - q , A =

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10 6 V 414 R, q 46 ,

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R 1: D = 0 r > R 1: D = Q 4 r 2 E =

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U m ax = E ma xr 0 ln R 2 2 2 R1r 0

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= 8. 8510 - 1 2 5010 - 6 0. 60010 -

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C = 7. 0810 - 10 F ( B ) , 57( b)

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, 12 F U , 2 F U/ 4, 12 F 3U/ 4

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, C2 = C1( U 1 - U 2) U 2 C1U 1

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W C = 1 2 Q 2 C = 1 2 Q 2 ln ( R 2/

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dWC = 1 2 U 2 dC dA E = dWC + F dx

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C = 3 0S y 0ln4 ( 2) , 1 = P 1= -

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6 61 240m 8mA , ? N 1

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66 , ( 61) 5m , AB ,

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, , I 1 = 3 4 A , I 2 = 2 3 A 636

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U 0 , = Q t / ( R C) e- RC R

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7 71 0. 5g, 2510 - 8 C 6010

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R = mv eB = 9. 110 - 31 8. 410 7 1.

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73710 ( 1) l m = qBB l 2E ( 2) 1

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75712 I B ( 2) = U A A qa = 1. 010

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v = E H B = qvB = qE H U H dB = 0.

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N I l 1l 2= N I S = m , B ,

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7. 210. 92810 - 2 3 J/ T , R, e

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E = - vB 7. 24S x , , , v 0

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z a , E = 2 0a k = F = E e =

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B = 0I 3 4 a / ( 2 3 ) ( cos30 - c

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= 2B ¡¤dS = 2 r 1 + r 2 r 1 0I 2

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0. 05m r 0. 07m, B = 10 - 3 / r T 0

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86( b ) , P , r d, dB 1= dB2=

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, 0, ( b) , B ¡¤dr

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( R 1 R2, h, ) , N , I , ? 810813

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, J , d 812816 J J

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B= 0 q 2 R r ( r < R) , dr dB

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B l= Br= 0j 2 , B0 816 B

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F = 0I 2 2 ln a + r r L = 5. 0

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T d , dF m = dF T r = T / ( BI ) (

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821 , , Rq R q : = 2 ( 1 -

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F m = ev 1B2 = ev 1 = e 2 v 2 4 0c

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9 9. 1 , N , mB : , Wm

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9. 3, , r = 0. 5310 - 1 0 m, v= 2.

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210 - 6 W b: ( 1) ( ) ; ( 2) ; ( 3)

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, 9. 3( b ) , , ? H c

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10 10. 1I = 5A ab, l= 20cm, d =

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= - 410 - 7 110 3 0. 2 2 = - 4. 410

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q = dt = 1 REdt = - = R = N BS R

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B = 2m e v er F m = e( v + v) B

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( 1) L = 0N 2 S/ l = 0N 2 R 2 /

• Page 343 and 344:

L 1 L 2, L , : ( 1) , ( 2) ,

• Page 345 and 346:

Vm = W / w m = 3. 610 6 2410 - 7 =

• Page 347 and 348:

A E = EI dt = - = - 0I 2 ln D 2 D

• Page 349 and 350:

11 11. 1 , : ,

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E = easin 1. 19 610- = 4 0c 2 r = 0

• Page 353 and 354:

( 1) a = E e = 3. 910- 1. 3 610 - 1

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, ( 1) E B 114 S= E B/ 0 S

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= 1 2 8. 8510- 12 30 2 0. 5= 210 -

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4 1 11, ; x = 0. 05cos 8

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1313 ( 1) x = A cos, x : x a = A,

• Page 363 and 364:

( 2) x = 0. 12m , arccos( 1/ 2

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( 3) E p= 1 2 k A 2 = 1 1 2 4 2 kA

• Page 367 and 368:

T = 2m/ k = 2m( k1 + k2) / ( k 1k2)

• Page 369 and 370:

( 2) E = E k + E p = 1 2 m + m v 2

• Page 371 and 372:

( 3) ? ( 1) 110 , F = Gm M r 2 E r

• Page 373 and 374:

1 2 L 2 mr 2 0 1- 2x r 0 m2 r 0GM

• Page 375 and 376:

T = 2 ml 2 mg = 2 0. 20 20. 59. 8 =

• Page 377 and 378:

125H Cl 1310 - E p ( r) = - r e

• Page 379 and 380:

128 1 14 , K , , , L L

• Page 381 and 382:

d= 1800r / min= 30 H z 4 ,

• Page 383 and 384:

( 2) x = 115135 = 12. 5ms 2 2 A

• Page 385 and 386:

LC2 T 1 = 2LC1 = 2 10160010 - 6 = 0

• Page 387 and 388:

2 21 740km/ h, 300km? 8

• Page 389 and 390:

2125 ( 1) 21 , = 04m, u = 008m

• Page 391 and 392:

= 7. 810 3 k g/ m 3 ) u= Y/ Y =

• Page 393 and 394:

( 1) I = 1 2 ( 2 ) 2 A 2 u = 1 800

• Page 395 and 396:

? ( 2) ? ( 3) t = 2. 010 - 3 s , x

• Page 397 and 398:

12km L = 10lg I I 0 = 10lg = 10lg

• Page 399 and 400:

a = u/ R = 331/ ( 17710 3 ) = 0187

• Page 401 and 402:

27230 , C 2. 31, y 1 = Asin (

• Page 403 and 404:

y = y 1 + y 2 = A sin( t - kx ) +

• Page 405 and 406:

t = Q 1A u 1 + AQ2 u 2 t , dt = 0,

• Page 407 and 408:

34 015mm, 10m 1 10 36

• Page 409 and 410:

3338 ( 1) 33 , d sin - d sin, d

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= 2 2hsin + = ( 2k+ 1) , k= 1

• Page 413 and 414:

= L/ c= 1/ = 1/ ( 1310 9 ) = 7710

• Page 415 and 416:

( 1) 38 , , G 1G 2 h = l = l

• Page 417 and 418:

e = k + 1 2 2 = k + 1 - 9 2 55010

• Page 419 and 420:

M 1 M2 , ( G1 M1 ) , , M 1 , M

• Page 421 and 422:

4 41 , a = 010mm, 50cm , = 5

• Page 423 and 424:

sin 1= 1. 22 / D 1, = 2 1 = 2a

• Page 425 and 426:

425) 300m, 300m 4cm ,

• Page 427 and 428:

x = 2f / a = 25010 - 2 48010 - 9

• Page 429 and 430:

= 43. 2 4204000 , ? k k r= ( k+ 1)

• Page 431 and 432:

426 420 , = 45 , X 0095nm 013

• Page 433 and 434:

I 1 = I 2 ( ) 45 , ( a) ( b

• Page 435 and 436:

53P 1 P 2 ( 51) I 0 P 1, P 2 ,

• Page 437 and 438:

, ? , ? ? , 0, 12 = arct an 2 ,

• Page 439 and 440:

55 511 56 , P 1, P 2 C , P

• Page 441 and 442:

( 155) , 58 , ,

• Page 443 and 444:

5 1 11 - 5, , ? M = T

• Page 445 and 446:

= 456710 - 8 3 4 ( 6410 6 ) 2 = 2.

• Page 447 and 448:

M = T 4 ( : M/ T 4 , ) M = M 0

• Page 449 and 450: 12 0, E = hc/ = hc/ ( 1. 2 0) = h
• Page 451 and 452: 119 020nm ? E e = ( pc) 2 +
• Page 453 and 454: 2 r = , = 1, 2, 3, = h/ ( mev)
• Page 455 and 456: = 2dsin , p =
• Page 457 and 458: 2 21 10 - 5 m, 10 - 14 g
• Page 459 and 460: ( 233) , = 2 a sin a x x = 0 x =
• Page 461 and 462: x = 2a / x, y = 2a / y, z = 2a /
• Page 463 and 464: 3 31 m in = c = ma x ch E - E 1
• Page 465 and 466: 1 = R 4 - 1 2 , = 3, 4, 5, R ,
• Page 467 and 468: G Mm R 2 mvR = R = = mv 2 R h h
• Page 469 and 470: = ( 1 - 411. 3/ 411. 7)310 8 = 2. 9
• Page 471 and 472: E k = E 1 - E p 1 = - 13. 6 - ( -
• Page 473 and 474: 15/ 4 = 3/ 4 + 2 - 2 3 2 cos 1, 1
• Page 475 and 476: , ? ? 2 z B, h = 2 z B = 2 zB
• Page 477 and 478: ? d = 2dsin = m , = ch/ E L K m= 1
• Page 479 and 480: R = f = 1. 22 f = 1. 2251510 - 9 3
• Page 481 and 482: 4 41 193g/ cm 3 , ? , h 2
• Page 483 and 484: T = 0. 3E F = 2 k 1 9 0. 351610- =
• Page 485 and 486: , ( 2) m a x= ch E = 3108 66310
• Page 487 and 488: 5 51 6MeV ( 1 97 Au ) , ? ( 14 N
• Page 489 and 490: 430MeV A 1 / 3 ? ? , ,
• Page 491 and 492: 58 ? ? ©¦ dN ©¦= N 0e - t / d
• Page 493 and 494: V = A 0 e - A 1 t = 30010 3 30 A 1
• Page 495 and 496: , 60 Co 6 0 Co 59 Co 59 Co+ n
• Page 497 and 498: E t h = E 1 + E 2 = 4. 37 + 2. 3 =