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課程名稱︰普通物理(甲)
課程性質︰共同必修
課程教師︰王建萬
開課學院：
開課系所︰生工系
考試日期（年月日）︰2008/01/18 星期五
考試時限（分鐘）：10:20~12:10 (110分鐘)
是否需發放獎勵金：是 (謝謝)
（如未明確表示，則不予發放）
試題 :
07S Final Exam
1.What are (a) the speed and (b) the period of a 300 kg satellite in an
approximately circular orbit 730 km above the surface of Earth? Suppose the
satellite loses mechanical energy at the average rate of 2.00x10^5 J per
orbital revolution. Adopting the reasonable approximation that the
satellite's orbit becomes a "circle of slowly diminishing radius," determine
the satellite's (c) attitude, (d) speed, and (e) period at the end of its
2000th revolution. (f) What is the magntitude of the retarding force on the
satellite? Is angular momentum around Earth's center conserved for (g) the
satellite and (h) the satellite-Earth system (assuming that system is
isolated, Earth radius R=6370km G=6.67x10^-11 M=5.58x10^24)? (16%)
2.In Fig.1, the fresh water behind a reservoir dam has depth D=20 m.
A horizontal pipe 5.0 cm in diameter passes through the dam at depth 8.0 m.
A plug secures the pipe opening. (a) Find the magnitude of the frictional
force between plug and pipe wall.(b) The plug is removed. What water volume
exits the pipe in 3.0 hr? (8%)
3.A sinusodal transverse wave of wavelength 30 cm travels along a string in
the positive direction of an x-axis. The displacement y of the string
particle at x=0 is given in Fig.2 as a function of time t.The scale of the
vertical axis is set by Ys=5.0 cm.The wave equation to be in the form of
y(x,t)=Ym sin(kx±ωt+ψ). (a)At t=0, is negative sine function? What are
(b) Ym, (c) k, (d)ω, (e)ψ, (f) the sign in front of ω, and (g) the speed
of the wave? (h) What is transverse velocity of the particle at x=0
when t=5.0s? (16%)
4.An oscillator consists of a block of mass 0.800 kg connected to a spring .
When set into oscillation with amplitude 40.0 cm, the oscillator repeats its
motion every 0.500 s. Find the (a) period, (b) frequency,
(c)angualr frequency, (d)spring constant, (e)maximum speed, and
(f) magnitude of the maximum force on the block from the spring. (12%)
5.A girl is sitting near the open window of a train that is moving at a
velocity of 20.00 m/s to the east. The girl's uncle stands near the tracks
and watches the train move away. The locomotive whistle emits sound at
frequency 600.0 Hz. The air is still. (a) What frequency does the uncle hear?
(b) What frequency does the girl hear? A wind begins to blow from the east
at 10.00m/s. (c) What frequency does the uncle now hear? (d) What frequency
does the girl now hear? (sound speed in still air v=343m/s) (12%)
6.When a system is taken from state i to state f along path iaf in Fin. 3,
Q=60 cal and W=30 cal. Along path ibf, Q=40 cal.(a)What is W along path ibf?
(b) If W= -13 cal for the return path fi, what is Q for this path? (c) If
Ｅint,i=12 cal, what is Ｅint,f? If Ｅint,b=24 cal,what is Q for (d) path ib
and (e) path bf ? (10%)
7.Fig.4 shows a hypothetical speed distribution for a sample of N gas particals
(note that P(v)=0 for speed V>3Vo).What are the values of (a)aVo,(b)Vavg/Vo,
(c) Vrms/Vo ? (d) What fraction of the particals has a speed between 2.0Vo
and 3.0Vo? (10%)
8.In Fig.5,where V23=3.00V1, n moles of a diatomic ideal gas are taken through
the cycle with the molecules rotating but not oscillating.What are(a) P2/P1,
(b) P3/P1,and (c) T3/T1? For path 1→2, what are (d) W/nRT1, (e) Q/nRT1,
(f) ΔＥint/nRT1,and (g)ΔS/nR? For path 2→3, what are (h) W/nRT1,(i)Q/nRT1
(j) ΔＥint/nRT1, (k)ΔS/nR? (18%)
出處: (第8版)
1.出處 p.356 習題13-67
2.出處 p.384 習題14-64 (Fig.1)
3.出處 p.438 習題16-13 (Fig.2)
4.出處 p.405 習題15- 7
5.出處 p.472 習題17-65
6.出處 p.503 習題18-49 (Fig.3)
7.出處 p.533 習題19-41 (Fig.4)
8.出處 p.556 習題20-13 (Fig.5)
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