概要信息：

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Xhè 1300011329
±e5|11Ò
¢žm2014c116F
wžm2014c1111F
1 8‡¦
(1) ^¢{	”fıφXÚëþ'X¿ÿ½”§ÝXêÚkŸþ
(2) *ÿmùÅ$ÄÆA
(3) ÿþ{ÄÅU
2 ¤ì^ä
í=;,”,w¬,äè,	1
¡,1>Ožì,>fU²,’º,iIkº
3 ¢n
3.1 ”f{Ч
Ÿþm1dü‡§ÝXê©Ok1, k2”.X,m1 l²ï ˜ålxž,XÚ$Đ
§
kx+mẍ = 0
Ù¥k = k1 + k2, m = m1 +m0, m0”kŸþ,Œ±)
x = A sin(ω0t+ ϕ0), ω0 =
√
k
m
ŒXÚıÏ
T =
2π
ω0
= 2π
√
m1 +m0
k
¢ÏLUCm1ÿуAT5	ƒA'X¿?
¦ÑkÚm0.
1
3.2 {Ä$ÄÆA
òxéžmt¦‡û,Œ±„Ý
v = Aω0 cos(ω0t+ ϕ0)
¿…Œ±uyvmax = ω0A,±9ÅU±Åð
E =
1
2
mv2 +
1
2
kx2 =
1
2
kA2 =
1
2
mv2max = const
3.3  ˜žm†„Ýÿþ

¦Þ{Z¦þ~,¢¦^í=;,Ô¬ ˜xŒ±l;IºÖÑ.ӞÜ1>
Ožì,ÿþÔ¬
¡	1žm5ÿÑ$ıÏ.
„ÝÿþK¦^U.
¡,ÿÑ
¡ü‡>
	1žmδt,2ÿѧ‚ƒmålδsҌ±Cq¦ÑÔ¬3T ˜„Ý
v =
δs
δt
4 ¢SN
(1) ÿþ”fıϿ	ıÏÚÌ'X.ÌA©O10.0, 20.0, 30.0, 40.0 cm.
(2) ïÄıÏÚfŸþƒm'X,3Ô¬þ\˜äè,éӘ‡Ì(A = 40.0 cm)ÿуA
±Ï.¿ŠT 2 − m1ã,^¦{[ܦÑkÚm0.
(3) ÿÑ3ӘÌe,ØÓ ˜„Ý,yÅUÅð.
¤kÿÁ†mˆÿng,…zgÿÐ˜‡±Ï½Ðo©ƒ˜±Ï.
5 êâL‚
5.1 ±Ï-Ì'X
L‚¥êâL«¤ÿ±ÏT (s),ӘÌeü9©OL«l†mº˜.
A (cm) 10.0 20.0 30.0 40.0
1 2.03816 2.03990 2.04029 2.04107 2.04260 2.04306 2.04373 2.04405
2 2.03867 2.03942 2.04093 2.04111 2.04239 2.04288 2.04390 2.04426
3 2.03808 2.03973 2.04093 2.04159 2.04290 2.04299 2.04387 2.04408
5.2 ±Ï-Ÿþ'X
L‚¥êâL«¤ÿ±ÏT (s),ӘÌeü9©OL«l†mº˜.
m1 (g) 455.65 506.89 558.27 610.33 662.15
1 2.04373 2.04405 2.15319 2.15361 2.25936 2.25872 2.36191 2.36240 2.45912 2.45938
2 2.04390 2.04426 2.15310 2.15373 2.25920 2.25885 2.36208 2.36284 2.45903 2.45931
3 2.04387 2.04408 2.15343 2.15380 2.25945 2.25882 2.36179 2.36265 2.45913 2.45935
2
5.3 „Ý- ˜'X
L‚¥êâL«¤ÿδt (s),ӘÌeü9©OL«l†mº˜.
¿…ÿ†m
¡m…δx1 = 1.490 − 0.490 cm = 1.000 cm, δx2 = 1.490 − 0.495 cm = 0.995 cm.
x (cm) 0.0 20.0 28.0 35.0
1 0.00805 0.00810 0.00913 0.00908 0.01103 0.01105 0.01543 0.01623
2 0.00808 0.00813 0.00917 0.00912 0.01124 0.01101 0.01602 0.01615
3 0.00808 0.00808 0.00916 0.00906 0.01115 0.01094 0.01570 0.01597
6 êâ?n9(J
6.1 ±Ï-Ì'X
Tmax = 2.04426 s, Tmin = 2.03808 s, T = 2.04169 s
Tmax − Tmin
T
≈ 0.003 < 0.01
l
Œ±Ï†ÌÃ'.
6.2 ±Ï-Ÿþ'X
T 2 − m1'XX㤫:
ÙÇd[܌
4π2
k
= 9.07 s2/kg
på
4π2
k
m0 = 0.04382 s2
?
Œ±OŽÑ”§ÝXêÚkŸþ
k = 4.353 kg/s2, m0 = 4.83 g
3
§‚Ø(½Ýd‚5[Üm‰Ñ,ك'Xêr = 0.999994,Ø(½Ý
σ4π2/k =
4π2
k
√
1/r2 − 1
n− 2
= 0.013 s2/kg
σk = σ4π2/k
k2
4π2
= k
√
1/r2 − 1
n− 2
= 6× 10−3 kg/s2

ƒ'ÚOØ,>fU²Ú1>Ožì¤ì#q43Om0Ø(½Ýž,Ä
kØ
(½Ý‘5mK:
σ4π2m0/k = m1σ4π2/k) = 0.00726 s2
σm0 =
1
4π2
√
(σk4π2/k)2 + (σ4π2m1/kk)
2 = 2× 10−3 kg
¤±
k = (4.353± 0.006) kg/s2, m0 = (5± 1) g
6.3 „Ý- ˜'X
²L?nŒ±
|x| (cm) |v| (m/s)
0.0 1.237
20.0 1.096
28.0 0.903
35.0 0.628
Šâ
E =
1
2
(m1 +m0)v
2 +
1
2
kx2
Ù¥m1 = 455.65 g, k = 4.353 kg/s2 Œ±OŽÑÅU¿…ŠÚ²þŠ
Emax = 0.364 J, Emin = 0.352 J, E = 0.358 J
Emax − Emin
E
≈ 0.03
Œ±wÑÅUÅð.
7 gK
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K,ØA2¦	å0\
¦{ZŒ.
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Cq{$Ä.
4