() (n = 4 3 )?( )
( H) ( n) 0 H H,.
, L. f(f < L 4 ),.?
L L L L. + fl;. fl; 4 4
M f, = fm r
(4) = E 3 - E h
L L, 3 ; L L = P E S, ;, ;, ;,.
5 f. 4 u + v = f, u = 4v; 4v + v = f, v = 5 4 f..()80 ;(). 5 x = 5 L. e = m v r. r r = e -0 mv = (4.80 ) 9.0 (.0 ) -8 8-8 = 0.5 0 ( ), 5 ; f = mv r, ; f = e e, ; = m V r r r, 4
R = I = I - I A B r I I A R = I - I B A I A A r A A. - 0.4 = 0.05 0.4 = 0.03( ).. f = ee = e V 80 d = 4.8 0-0 300 =.440-0 ( ) f = ee E = V,. d
N = 4 W 300 4050 = 4050( / ) = = 54( ). 60 75.. V < V, n = C V, n > n ; n = sini sinr, r > r.
= C 8 300 0 = n 4 5 0 3 4-5 = 4.50 ( ) = 4500( ). r > r n = C V sini. n = sinr = = V - IR V V I = V(- ) 0 (- 0.95) = = 0( ) R 0.6 N = VI = 0 0 = 00( ) I = V- R, ; = V,,, ()T - mg = ma. T = M(g + a) = 000 (9.8 + 0.4) = 0400( ). ()E = TS T ( = at ) 04000.4 5 00 = 80 = 7500( ).
6 ()E = = = d 3000.0
v =, u + v = 90 ; u u = 30, v = 60. u + v = f, f = uv u + v = 0. mgh + mv = mv + A A = m(gh + V - V ) = 0(000 3000 + 000-3000 ) = 0 7 0 0 =
F = (m + m )a B f = m a C C mc f = mb+ mc F = 60 = 0 6 - V :I = R =. : ', ε I = - ε' R + r ε' = V - Ir - (V - Ir) I = R + r I = - V R =.
I = 0mg = 0. Hl ' v = 0 ε 8 H = 400 l /, v = 0 9mgR,, H l 8
V () R R V V,. V I () R R 3 R I I 3,. I 3
() 5 ;() 4. ()R = R R 3 R + R = 4 ; 3 () I I 3 V V = R R = 5. 3 3 = R R = 3 4. : 6.()3 ;()3. V R () : =, ; R = R R 3 3 R R + R,. R,. () :,. V,. 3 3 3
W = y - x c - y P. mag - T = maa T - mbg = mba a = m - m m + m g = A B 3 g A B = 653 /. h = V g = ah = g 3 h = 50.
mgh = mv h = V g = 3 h = 50. E = hc = hc 6.630 3 0 = - E 3.030 3 = 6.560. 7 0 5 = 6.560 l '' = p + h p h l = 4, m m = l '' l ' = = 4.% l'' 4
m = D T 0 0 LS(p + h), () P T m'= D T 0 0 0 l's(p - h), () P T m m = m - m' 0 (p + h) - '(p - h) l l = m l(p + h) 084-370 = = 4.%. 084 l'',,. m, 0.04, m 4,. l'' l' l''-' l l'' l', ;, 4. l'' l' l,. (m = D T 0 0 P T pv) m m - m' m - m',, ; m m m' 0.04,,. 4 mv = mgh, V = gh = 9.80.4 / =.8 /. mv + mg r = mgh( mv = mv + mgr) V = g(h - r) = 9.8(0.4-0.5) / =.4 / 0
mg + N = m V r N = m( V - g) = 0.045(.4 r 0.5-9.8) = 0.5. v A = f - u = 0 -,v A = 0 ; 0 A v = f - u = 0 -,v B = 30 ;. 5 B B A' B' AB =. v (3) u > v B A u, B ( ) A ( ), B A
v B, u > v B A u, v u > v B u B A A B,. l t, V = sin t, -8 l ε = 0 Hl sin t( ). () i = = 0 Hl -8 l sin t( ). R R (3), I = 0 Hl -8 l m,ab CD R = 0 H l -9 l ( ) R M =0 H l -9 l m ( ). R B A
Ph - fs S = = 50. f
' ' (p - p )L S = (p - p )L S ' (p - p )L p = L + p ' (750-745) 0 = + 755 745 + 0-755 = 760 ' ' (L + P - P ) OQ + OQ = f, OQ OQ = f OQ - f = 4.
OB + BQ + OQ = 3 4 f T - mg = m V L.,., V = gl = 80 /
5. T = mg+ m V, 3 ; L
3 L, L 4 L, ε 3 m
F.
-8-8 () ε m = 0 HLv = 0 HLL ( ) -8 3-8 3 4 ε' m = 0 H Lv = 0 HL L ( ) 3 ε' m =. ε m 3 ε' = L v 3 = L 4 L m 3 =. ε L v L L m
' ε m
F - mg = m v r, F = mg + m v r = 80 = 0. ( F = P + m v, ); r
(3) = P - P 0 γ P t 0
. M m, C, K.
,.,,, 5, 0. ( ) 0, 00. :
() K, K,R R V / V ; / / (),R R V : V ;
B = 0.. ab, m = 0., 4 (3)( ) ( He ),( ) ( ) () V V =, () V V / / =, (3)I =.
() V V = IR IR = R R = 4 =. ()R R, R, = R R + / R, 3 3 R = R R R + R = 4 4 / 4 + 4 = ( ), V V = IR IR = R = / 3 l R = / / 3 E (3)I = R + R + r = 4. = ( ). + + 0. V (), V = R R = 4 =,. () u + v = f, u v = AB A B : AB =. v A B ( f - 5 ) = ( ), AB = 45 = 0. 45 v 5 35. 5 I = I + I = I (+ r g 00 = 0.00 (+ R.0 ) g s g ) = 0.( ); V = I (r g g + R ) = 0. 00( 00+ 9900) = 0( ).
(0.75) l = V - V = 4 0.8-4, 4 l = ( -) ( ). 3.40.75 0.8 V = S t h = gt, t = h g, V = S.6 = = 4( / ) h 0.8 g 0 v = M + m m V =.0 4 = 804( / ). 0.0 () = mv = (m + M)V = (0.0804 -.04 ) V = S / t,. t = h,. v g, 3.. 0.
F = B i = B R = (B ) l l l v R R. F = (B ) l v = mgsin30,v = v m, R v = mgsin30 R 0. 0 0.5 0. m = =.5( / ) (B l) (0. ) () = i = = (Blv ) m (0..5) = =.5( ). R R 0. (), i i R,, R 7. [, = i = = (B l V ) m R R, 5. ]
()i = i' () i = i' i > r i = i' i > i' ( 3) ( 4) i < r i > r 0 0 7 6. ( n) ( B) : B+ n Li +[ ] 0 [ ] 5 5 0 3
(B O, OB = l,bc R = (
( = )
() + u v = f u = + 5 = 7 50 u = 50 7 ()v = 6-50 7 = 4.5( ) (3) 4.5 + u = 0.3
()mgl = mv I V = V = gl m V = / mv - mgr(- cos ) / V = gl - gr( - cos ) 3 / I P - mgcos = mv / 4 R 3 4 [ - R(- cos )] P = mg[cos + ] ( = 60,R = / l R )
/ (3) V 3, 3. / V,, 30006000 ()R V A = 000. 3000 + 6000 3000 ()R V B = 500 = 8 + 8 000 (R 3 + r) < > = 7.5 + 7.5 500 (R 3 + r) < > = 4 + 4 (R + R 3 + r) 000 3 R = 500 sim - cos a 0 = g cos + sin
sin - cos a 0 = g 3 cos + sin
. 6
. 38 U Rn,,. 9 86. : u + v = f (
4 4 (3)0.4 5.0 0 ( 5.00 ). () : AB ABO A B O, A B = BO / / B O ; () / / / / O O OF A B F A B = OF / / / / O / ; () / / / B F BO B O = OF, / / B F u v = f (3) v - f u + v = (4) f v = f - u = u - f fu,
, v = E / S. B evb = m v / R () evb = m v / (3) R R = m E (4) ebb' R = m E (5) ebb' -7 5 63.66 0.000 R = = 0.33, -9.600 0.400.50-7 5 65.660.000 R = = 0.34, -9.600 0.400.50
R = l x R R x. l :,D,R,AD R = R R 3 AD R + R, R = R + R,R, R. AD R AD U AD = = R + R + R, G AD R. 3 G G AD 3 R x = l l R,.l, l AD, DC. a = F m, a = F m v = a t = F m v = v + a t = v + F m t, () t. ()
(), v = F m t v = v + F m t,. t = vm m Fm - m, t, m m
0 d, : R 0000 3 R 00
( ) 6 3 7 5 30 Al P α
Od = 3OaO ' c = 3O' b
( 5) 0 mv 5 7 4 30 ( ) ( n) Al + HeP + n 6 0 3 5 0 4 0 40 0 = = 300 T T C D V B pcvc = = 40 = 0 p 4 B
6 056. 0 = 35. 0 ( a) 9 60. 0 34 8 hc λ = 6. 63 0 300. 0 9 3000 0 34 8 hc 663. 0 300. 0 = 0 5000 0 λ 0 hc hc mv = + eu ( e) λ λ 0
3 3 ε = Blv sin 90 = Bl ωl = Bl ω 4 4 3 4 ε = Blv sin 90 = Blωl = Bl ω = 0. 008 ( b) 4 4 ε 0. 03 I = = = 0. 08 ( d) 4R 0. 040 U = I R = ed ε 0. 0040. 8 0. 005 U I R cf = ε = 0. 0 0. 8 0. 005 = ε I R IR + ε I R ε + ε = ( ) I( R) = 0. 06 0. 8 0. 0 = 0
( m + m) v = ks0 v = k m s 0 m T = π ( a) k 3 t = T T T T = ntn = 3 ( b) x t = ( c) υ x = n π s n = 0 3 ( e ) 4
3( F + F ) 4( F F )
En = 3. 6. n
TA V' V T V A = A B B 300 = 4. 80. 40 400 υ ke m = ( a) r r ke mυ = ( b) r 9 9 9. 0 0 ( 60. 0 ) = 0 058. 0
3. 6 E 3 = = 5. 3 λ = c ( f) υ 34 8 hc 663. 0 300. 0 λ = = 9 E E. 09 60. 0 3 l 0. 0 v = ω = 300 / = 5 / ( a) e 5. i = = = 30 ( c) R 0. 050
M ab l = fab sinθ = ( ) Bl l ω sin ωt ( g) R
mv0 = mv + MV ( b) m M v = m + M v ( c) 0 v = v d 3 0 ( ) E = mv0 mv ( e) = E 0 69 48 = E0 ( f ) 69 E = E 0 ( g) 3 4 E = E = E 0 3 3 n En = E0 h 3 ( ) 0 6 E 0 = 3 n E 0
n 6 = 0 ( i) 3 3 n = = 4. 0. 073
m M vρ 4 m M vρ ρ v, V : ρ m v M m vρ 3 m β α ( 4) A ( β α ) A β α B C
3 T T + = T
ρ B
θ = qb m t ( ) v = gl 6 ( ) v = gl 3
( ) ( ) ( ) 4
ε R P = ( R + r) ( )
qvb = m v r ( a) mv r = qb ( b) AO = r ( c) mv AO = qb vt a = r ( d) qb = m t ( e ) a = θ ( f) qb θ = m t m h = ρs ( e) 3 40 0 h = = 0. = 0 3 4 0 0
m l = ( j) ρ S m ( p H g ) ( ) ( ) S g m m p S S g b m 0 + 0ρ + = 0 + + ρ ρ ρ ρ ρ ρs p 0S H0 = b( + ) mg 5 4 0 0 H 0 = 0 + 05 3 =. 40 0 9. 8
T N m v sinθ cosθ = ( a) l sinθ N mg m v cosθ = sinθ l sinθ glsin θ,v,n. v =,N = 0. v cosθ b gl v = 3 b c 6 ( ) ( ) v = gl v < vb ( a) ( b) 6 N T = m v + mgcosθ l gl 6 3 = m + mg l 3 3 = + mg 6 3 () v =, v > v b. gl T m v sinα = ( d) lsinα
v = 3 gl ( d) ( d) ( e) α
ω ω ω = ω 7 4 0 7 4 Li + HHe + B + Li+ He 3 5 3
OA = OB
l" a l a l a l' b l ' b l" b 4 ( ) Hen [ 3 3] 0
F m v p = t t p p F = F = a t t ( )
U U N = ( c) N N U R = ( d) N I0 R = 880 ml tg θ = ( c) Mh
W = mv + mgh ( a) H h = H sin θ ( b) W = mv B cos θ + mg( ) H sin θ π θ = 4 ( d) W = mvb + mg( 4 ) H pal a p' a l' a = T T' ( a) p' a l' a p" a l" a = T' T" ( b) p bl b p' b l' b = T T' ( c) p' b l' b p" b l" b = T' T" ( d) T T' l" a l b l' b = l" T T' b l l' l" a l al' a l' b T l bt' = l" l l' l' T l T' b b b a a a a ( g)
l ( ) 0 9 T 0 u l u << T t = ( a) u d = at ( b) f evc a = = ( c) m md mu d V = c el V = π c V0 sin ( d) 3 V c V0 = sin π 3 9 V 0 = = 05 3 /
38 34 34 34 ( 4) 9 U 90 Th 90 Th 9 Pa
( 5) E E = F q D. F k q q kq = q r r kq q ; q r
( 3) T = π lsin a / g[ 3] ( 7) ρsv 3 [ ] 0 5 [ ]
P f = ( a) v 0 fs = mv 0 ( b) 3 mv 0 s = ( c) P 3 5000 0 s = = 67 5000
h p0l = p( l + x) ( b) h p0l = p ( l ) ( c) h ρgh l p lh x = + 0 4 ( d) h p0l + ρgh l v = = 400 0. 005 / 6 v = = 00 / 0. 005 mgtga q = ( c) E
cosφ qe = sinφ mg φ tg = qe mg eu0 a a = ( a) md A d = at d t = ( b) a T t ( c) ν t ( d)
eu0 ν = ( e) 8md eu 0 8md
35 90 36 U + Sr + Xe + 0 n 9 38 54 0 0,,
5 p M m g S = + ( )
0 n gr ( 3) ( ) 0 3 q ( 8) k ( 3 ) ( R l + ) l ( 9) mv0 mv ( 3 ) ( M + m) g ( 3) 5 p = + p 0 p0 S
I = ε ( b) R FR v = B l m + mm+ M v = v 0 m + mm W = mv mv 0 ( d)
UAU B ε = U U' A A ( a)
S C = / C0 a 4 kd = ( ) π S C = ε / C0 b 4πkd = ε ( )
3 () ( Li), α, 7.
A. m m. m + m B.. mm C. m + m. B. m R g 0 0. (R + h) 3 4 C. m R g 0 ω 0. 0 0 (6),, ε R. K, I 0 =. R,,
A.(+ l l )mg. l B.(+ )(m + m 0)g. l l C. mg. l l D. (m + m 0)g. l
ke ()9r ( ). ( ). 8r () 7 3 4 Li + H He ( ).. 78 0 ( ). v (6) r e (3 π ).
R = (0 ), R = (0 ). ().0 5.0 P = ( ) R =.0. () R + r P = ( ) R. (3) R + r r > 0 0. (5) > 0 + 0. (6) v = gs h. () mv'= MV. () mv + MV = ' mv. (3) A, OA = s, s = v h g. (5) s = M + m M s. (6)
= arcsin n = arcsin.4 < 30. y = v sin t gt. 0 x = v sin 0. () g
x = v sin,x = v sin,x = v sin 0 0 0 0 0. () g g g dsin + d sin sin 0 =, d + d = dsin + d sin 0 arcsin( ). (4) d + d
(), m,. g (g ), 3 A. 3 mg. B. 3 mg. C. 4 mg. D. mg. 3 m A. m + m F. m B. m + m F. C.F. D. m m F.
A.U / U =. B. U / U =. C.U / U =. D. U / U = A.q q q. B.q p. C.p p q. D. pq.
0 3 A. B + ( α ) N + H. 5 7 7 B. Al+ nmg + ( ). 3 0 9 4 C. Be + HeC + ( ). 4 6 4 4 7 D. N + HeO + ( ). 7 8 7
() 3R 0 / 3 (3 ). d (5) (r + ) (3) n MV = Mgh. () h = g (mv mv 0 M ). (3)
x = V (M + m)g S (p S Mg). (4) 0 mv n+ mv n = qu. () n L = v T = vn. () n n ν () mv n mv = (n )qu, (n )qu v n = + v. (3) m L = (n )qu n + v. (4) ν m E = NqU + mv k. (5)
3 (3), (p) ( H) α, ( ).,?
A.v = v = v = 3 v. 3 0 B. v = 0,v = v = v. 3 0 C.v = 0,v = v = v. 3 0 D. v = v = 0,v = v. 3 0
(3) v = 0(n + ) /.n = 0,, 4 v = 0(n + 3 ) /.n = 0,, 4 (7) mg(3 ).
πd (3) R( ). 4L F = B vl () R B vl mgsinθ mgcosθ R = 0 () mg(sinθ cos θ)r v =. (3) B L v f R / = v () R f v = v () R / R
+ v = u f, mv 0., fs = mv 0 + qex 0 () qex 0 + mv0 s = (3) f
(B) F = m v r, / (D) (B) (C), / (C) F = G Mm, r / 4 3 08 (8) Th( ) α β, Pb( ), 90 8
(3)(7 ) abcd, l, ab R,. B,. ab PQ ( ), v ad bc. PQ l, ap 3??
(3), A B p V T p V T, V = V. p, B B B A B T, V V., pv T pv T A A A = p V T A B B B = p V T B A () () B V + V = V + V (3) A B A B, p = T( p 3 T + A pb 3 T ) A B A A A = 300(.8 3 400 +. 3 300 ) 0 5 = 3. 0 5, r = 3 R R 3 3 R + = 3 R 9 R () r = R + r = 9 R (3) I = = 9B l v (4) r R I = 3 I (5) ap ap = 6B l v R, P a. ap
0 a = =.0 / s a s = s at, t = a = 0.5 =.0
(A) v g (C) v g (B) v g 0 0 (D) v g ( ) 0 0 (A) F m t (B) F m t (C) F m t (D) F m t (A) 3 3 (C) 3 (D) (B) 3 3
(A) l (B) l 8 4 (C) 3 l (D) l 8
(A)mgh (B)mgh (C) mg(s + h ) (D) mgs + mghctg sin
(D) i = arctg,
v 0 (3 ) 4gsin
I = =.0 R + R
v u = y, y u + v = f u + 4u = f u = 5 4 f = 5 8 = 0 4 a = F a = F m m F v = v m t v = F m t 0 F s = v t m t s = F m t 0 v 3F( r) 0 m l Fs = mv mv Fs = (m)v 0 0
v 3F( l r) 0 m
m a m (A) v v (C) v b a a v b (B) v a v v v v a v b (D) v a v a v v v v a b b b a b b b
4 4 7 7 4 30 ( A) N + He O + X ( B) Al+ He P + X 7 8 3 4 35 90 36 ( C) H + H He + X ( D) U+ X Sr + Xe + 0 n 3 9 38 ( A) 3 3 ( B) 3 6 ( C) 300 ( D) 300 600 5 54 0
(B), F = F (C), F = F (D), F = F AB AB AB
9 L, 00, O L 3..
0 (8 ) ( B) ( ), 7 ( Li)..8, 3 5.
m gh 4 r 3 π mg mg GT E cosθ
mv = qu m v = qvb r r = B mu q U U 30 = U 3 = 00,U = 30. U P = R = 0 = 50. 4 4 35. : He. m v E He k 7, m v E Li k E = m v, E = m v k 4 E k = m m E 7 3 m k k 3 m HeLi m m = 4 7 E = 4 k.8 =.03. 7
(p p 0)(SA S B) m A + m B = = g m = A S l+s l A B = S l B T T p = p p p 3 0 mbg S B = T T 3 3
3 l. a, b (A) (B) (C) (D)4
t t (A) sin 0 (B)0 sin (C): 3 (D) 3:
38 34 UTh + 9 34 90 9 4 90 ThPa + 4 34 9 Be + HeC + 6
0 He( ), e( ), n( ) 4-0 5. 3 mgsin mgsincos (3 ) 3
u + v = f = 4 m = v u =.5 I = R R(F - mg) v = B l p S = (p + F 0l0 0 )( l0 l + x)s S
:V = M - m M + m v, 0 B fl = Mv MV 0 A f l = mv 0 f l = mv l = M + m l 4M f = (M + m)v l 0 (M + m)v
(A)nvS t (B)nv t (C) I t (D) I t q sq
., a + Be n + 6 C
0. L (4 ).9( ),4( ).65( ),( ) 4
a = F m gsin I I = 600 00
MV + mv = E + MV + mv 0 0 0 MV + mv = 0 v = 0 ME0 m(m + m), V = me0 0 M(M + m) V0 V A V V = l l B 0 p V T B 0 5 p =.450 B 0 = p' V B T p,, A (p - p ) l = (p - p ) l A 0 B 0 5 p A =.30 p V T A 0 0 B = p ' V A T A B ; pb ; pa 3 ;
(A)3 (B) 3 (C) 9 (D)9
(A) 5 4 λ,0 (B) λ, A (C) λ,a (D) 5 4 λ, A
(A)k Q Q (B)k Q Q k + k (C)0 (D)k Q r R r R r
U U = n n, I I = n n
T = t 60. l (C) l T T =, g, g
3,, T = 300K. 4
. Ts (3 ) 4T - m g B.T = t ( ) 9.5 4. 4g[ µ (L l) + µ l] (3 ) A B
p V T = p V T 0 0 0 p V = p V 0 0 T T p = p, V = 3 4 V, V = V + 4 V = 5 4 V. : 0 0 0 0 0 T = 5 3 T = 5 300 = 500K 3
ε + i = R = Bv R = Bv ε l l R f = ib = B v l l R B l v = (M m)g R v = (M m)gr B l m = Md l0 + l
(M M )d m = l l m = Md l
(F f)s = MV f(s 0 0 b) = mv F f s f s b = MV 0 mv 0 F f = MV f mv v = µ g(s b) = 0. 0 ( ) V = s s b v = 0 = 4 / 0 F = f + MV = mg + MV = 0. 50 0 + 00 4 µ s s 0 0 0 = 500 h = gt t = h g =.5 = 0.5 0 a = F = 500 00 = 5 / M s = Vt + at = 4 0.5 + 5 (0.5) =.65,,s =.6.
s a = s b a = 0 = 4 / 0
h = gt t = h / g =.5/ 0 = 0.5 a = F M = 500 = 5 / 00 s = Vt + at = 4 0.5+ 5 (0.5) =.65,,s =.6.
(A)3 (B) 3 (C) 9 (D)9
(A)IBS (B) IBS 3 (C) IBS (D), 3 λ P,., P 4 7 (A) O λ, 4 7 (B) O λ, A 4
(A)k Q Q (B)k Q Q k + k (C)0 (D)k Q r R r R r
U U = n n, I I = n n
T= t 60. (C) l T T= l g, g,
3,, T = 300K. 4 ε
B.T = t ( ) 9.5 p V T = p V T 0 0 0
p V = p V 0 0 T T p = p, V = 3 4 V, V = V + 4 V = 5 4 V. : 0 0 0 0 0 T = 5 3 T = 5 300 = 500K 3 ε i= + ε R = Bv l R = Bv l R f =ib l = B vl R B l v =(M m)g R v= (M m)gr Bl () I = R + r + R 0 R0 5R0 5R0 P = I R 0 = ( ) R = = R + r + R 0 0 (R 0 + 90 +0) R 0 + 00R 0 +0000 5R 0 = (R 00) + 400R = 5 00 0 0 [ R R ] + 400 0 0
R 0 00 R 0 = 0, R 0 = 00, P P = 5 400 = 6 ε P = I (R + r) = (R + r) (R0 + R + r) R 0 = 400,P 5 P = ( 90 + 0) ( 400 + 90 + 0) (F f)s = MV f(s 0 0 b) = mv F f s 0 f s 0 b = MV mv F f = f MV mv v = µ g(s b) = 0. 0 ( ) V = s s b v = 0 = 4 / 0 F = f + MV = mg + MV = 0. 50 0 + 00 4 µ s s 0 0 0 = 500
h = gt t = h g =.5 = 0.5 0 a = F = 500 00 = 5 / M s = Vt + at = 4 0.5+ 5 (0.5) =.65,,s =.6.
s a = s b a = 0 = 4 / 0 h = gt t = h / g =.5/ 0 = 0.5
(A)p + Mgcos 0 S (C)p + Mgcos 0 S p (B) + Mg 0 cos Scos (D)p + Mg 0 S (A)T = T (B)T = T (C)T = 4T (D)T = 4 T
ε T 3. m 30 ( 50 ) πs (3)n = sini sinr ( n = EF OG OE ) GH u = 30,v = 60. + v = u f L - LL - L = 0,
a = v s =.4.4 = 0.7 /, = macos = 0.7 = 0.6. 3 qvb = m v R, R = mv qb,
r = MN = R + R = R = mv. qb
4 4. Na 6 8
C.( m M )kx; D.( m M + m )kx.
A.5 B.5 C. 35. D.3.5. A. ; sin D.. sin
T t ; C. t = T, t (t + t) ; D. t = T, t (t + t).
U U U. a 3 4
. T - ma ( ) arctg mg (3 ) mg T - ma
5. lg (5 ) 0.70 / (, 0.7 / ) v u = h h u + v = f
+ I = r F = F = B d v r (0.) (0.) 5.0 = 0.5 - = 3.0 L Q = I r v T + T = p 0 T p 0 0 T T T = H H 0 + 0 p p = H 0 H T + T = H 0 T0 H H T 0 = T H - H T T = H H, T = H H T 0 0 0, T = T, HH T = T = T H (H - H ) 0 0
H T + T = H 0 T 0 H T 0 0 = H T HH T = T H 0(H - H ) [M + (n -)m]vn- nmv n- = (M + nm)v n M - (n +)m v = M + nm v n n- n < M m = 48 4 n > M 34 - = m 4 [ M + 3m + ( n - ) m' ] v ' nm' v' = ( M + 3m + nm' ) v M + 3m - ( n + ) m' v = M m nm v n' + 3 + ' n n n ' n '
M + 3m n < = 9 m M + 3m n - = 8 m 8n < 9
30 30 0 (A) P Si+ e 5 4 3 4 (B) H+ HH+ n 0 4 4 0 (C) C N + e 6 7-38 34 4 (D) U Th+ He 9 90
> > > >
v 0.,, 3 v.
0. m (m + m ) g k ( ) m m + m + g k k s = at, t = s = a s. gsin - gcos
l l =, S =, c cos c cos. = d cosr, nd = c cosr, nd l =, cosr cos ncos l = d. - sin θ n mv = m v 0 0 3 + Mv, fs = Mv, f(l + s) = mv - m(v 0 3 ),, fl = mv - mv, 0 0 v = v 3 + 4 m 0 M. H 0 (L0 - L) h =, () L
H = 0 L H x x. (4) 0 mg = q (vb) + E, q m = g (vb) + E, q m = 9.80 (0 0.5) + 4.0 =.96 /. tg = vb 0 0.5 =, = arctg0.75. E 4.0
q m = g (vb) + E, q m =.96 /, tg = vb E 00.5 = = 0.75, 4.0 = arctg0.75.
(A) (B) (C) (D) 3 3
4. Th Pb. 3 90 08 8
. GM / R 3. f / (Il) 3. f / (Bl) 5..44( 3 ) 5 (M - m)v 8., M mg m v
4.A..98.5,99.8 B K 3.C,D d = li DU P = P =.5P = 5 3 gh = 5 ρ 4 gh. 0 0 ()E - E = mgr - mg r = p mg r, 0 p () mg r = mv + m( v ) = m 5 A 4 v, v = 4 5 g r. A A A
(3)mgrcos- mg r (+ sin ) = 0, - +5 sin = = 3 5 5, ( ) = arcsin 3 5. mv = mg(h + d) + qu 0, v = g(h + d) + qu 0 m. mg(h + d) K = 0, U = U 0 +. q -3 mg(h + d) 0.0 0 (3)U = U + 0 (0.05+ 0.05) 0 = 000 + - C U 0.0 5 0 000 0 0 5 =.00. :K = mg(h + d) + qu - qu > mg(h +d) - qu > mg(h +d) - q U = mg(h + d) - C 0 m 0 U 0 0, -5-3 6 mg(h + d) - C U = 0-0 0 > 0, 0 0
7 4 30 (A) Al+ HeP + x 3 5 4 4 7 (B) N+ HeO + x 7 (C) H + n + x 3 4 (D) H + xhe+ n 0 8 0 (A)F = mgcos (B)F = mgctg (C)F = mgsin (D)F = mg sin
8. mv qb, mv qb ( 3, 5.) mv 9. 0 ( ), (3 ) qs. (m - m ) v 0 + (m + 5m )g = 0 (5 ) R v = 4 u u + v = f u = 3 4 f u + v = f u = 5 4 f u - u = 5 4 f - 3 4 f = f = 8
P = P + H + HS 4 S 0 d = l - l + H mv = mgl - qel T - mg= m v l T = mg(3 - cos ) + sin v 0 = 6gx0 E + P (m)v = mgx0 E, O,, p
E + (3m)v = 3mgx + (3m)v p 0 E = E p P l = v g = x 0 mv 0 = eu 0 d = euc md t 0 u = d c U = 0 0 l v y = eu c md t 0 y - d b = v y v0
y = bd + d l =.5 t = u u C m T 0 t x = T s = t + T0 x = s = T t + T0 x 3 = s = T