課程名稱︰普通物理上 課程性質︰必修 課程教師︰王建萬 開課學院：工學院 開課系所︰工科海洋學系 考試日期（年月日）︰98//1/12 10:20~12:10 考試時限（分鐘）：110 是否需發放獎勵金：是 （如未明確表示，則不予發放） 試題 : 1. A girl is sitting near the open window of a train that is moving at a velocity of 20.00m/s to the east. The girl's uncle stands near the tracks watches the train moves away. The locomotive whistle emits sound at frequency 800.00Hz. 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 12.00m/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) (11%) 2. A 20g particle undergoes SHM with an amplitude of 3.5 mm, a maximum acceleration 1.2*10^4 m/s^2, and an unknown phase constantψ. What are (a) the period of the motion,(b) the maximum speed of the particle, and (c) the total mechanical energy of the oscillator? What is the magnitude of the force on the particle when the particle is at (d) its maximum displacement and (e) half its maximum displacement? (10%) 3.Fig. 1 shows a stream of water flowing through a hole at depth h=12 cm in tank holding water to height H=60cm. (a) at what distance x does the stream strike the floor? (b) at what depth should a second hole be made to give the same value of x? (c) at what depth should a hole be made to maximize x? (9%) 4. When a system is taken from state i to state f along path iaf in Fin. 3, Q=80 cal and W=30 cal. Along path ibf, Q=50 cal.(a)What is W along path ibf? (b) If W= -20 cal for the return path fi, what is Q for this path? (c) If Eint,i=15 cal, what is Eint,f? If Eint,b=20 cal,what is Q for (d) path ib and (e) path bf ? (12%) 5. What are (a) the speed and (b) the period of a 300 kg satellite in an approximately circular orbit 630 km above the surface of Earth? Suppose the satellite loses mechanical energy at the average rate of 1.40x10^5 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 magnitude 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, Earthradius R=6370km G=6.67x10^-11)? (16%) 6. A sinusoidal transverse wave is traveling along a string in the negative direction of an x-axis. Fig .3 shows a plot of the displacement y as a function of position x at time t=0; the scale of the y-axis is set by Ys=6.0cm. the string tension is 4.8N, and its linear density is 35 g/m. Find the (a) amplitude, (b) wavelength (c) wave speed (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string. If the wave is of the form y(x,t)=Ym sin(kx±ωt+ψ), what are (f) k, (g)ω, (h)ψ, and (i) the correct choice of sign in front of ω? (18%) 7. Figure 3 shows a cycle undergoes by 2.00mol of an ideal monatomic gas. For 1→2, what are (a) heat Q, (b) the change in internal energy ΔEint, and (c)the work done W? For 2→3, what are (d) Q, (e) ΔEint, and (f) W? For 3→1 what are (g) Q, (h) ΔEint, and (i) W? For the full cycle, what are (j) Q,(k) ΔEint,and (l) W? The initial pressure at point 1 is 1.00atm (=1.013×10^5 Pa). What are the (m) volume and (n) pressure at point 2 and the (o) volume and (p) pressure at point 3? (the gas constant R=8.31J/mol.K) (24%) 圖片就參見Halliday 的課本吧! 建萬爺~就甘心 >///< --

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