課程名稱︰普通物理學甲上
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）︰96/01/19
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 :
Final Exam
1.Fig.1 shows a stream of water flowing through a hole at depth h=10cm in a
tank holding water to height H=40cm. (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?
(10%)
2.At the instant the displacement of a 2.00kg object relative to the origin is
d =(2.00m)i+(4.00m)j-(3.00m)k, its velocity is v=-(6.00m/s)i+(3.00m/s)j+
(3.00m/s)k and it is subject to a force F=(6.00N)i-(8.00N)j+(4.00N)k. Find
(a) the acceleration of the object, (b) the angular momentum of the object
about the origin, (c) the torque about the origin acting on the object, and
(d) the angle between the velocity of the object and the force acting on the
object. (12%)
3.A girl is sitting near the open window of a train that is moving at a
velocity pf 10.00m/s to the east. The girl's uncle stands near the tracks
watches the train the train move away. The locomotive whistle emits sound at
frequency 5.00Hz. 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 10.00m/s. (c) What frequency does the uncle now hear? (d) What frequency
does the girl now hear? (12%)
4.A 10g particle undergoes SHM with an amplitude of a 2.0mm, a maximum
acceleration 8.0×10^3m/s^2, and an unknown phase constant. 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 magtitude of the
force acting on the particle when the particle is at (d) its maximum
displacement and (e) half its mamximum displacement? (12%)
5.What are (a) the speed and (b) the period of a 200kg satellite in an
approximately circular orbit 640km above the surface of Earth? Suppose the
satellite loses mechanical energy at the average rate of 1.4×10^5J 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
1500th revolution. (f) What is the magtitude of the retarding force on the
satellite? Is angular momemtum around Earth's center conserved for (g) the
satellite and (h) the satellite-Earth system (assuming that system is
isolated, Earth radius R=6370km)? (15%)
6.A sinusodial transverse wave of wavelength 20cm travels along a string in
the positive diretion 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 wave equation
to be in the form of y(x,t)=Ym sin(kx±ωt+θ). (a)At t=0, is neaetive sine
function? What are (b) Ym, (c) k, (d)ω, (e)θ, (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? (15%)
7.Figure 3 shows a cycle undergoes by 1.00mol 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%)
Fig.1在普物課本第七版p.382 Fig.14-48
Fig.2:p.438 Fig.16-34
Fig.3:p.533 Fig.19-25
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