課程名稱︰普通物理學甲上
課程性質︰必帶
課程教師︰蔡政達
開課學院：化學系必帶、地質系選修
開課系所︰
考試日期（年月日）︰99.01.14
考試時限（分鐘）：125mins
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.Kepler's laws
Let the Sun be the origin of the reference frame
(a)Show that the angular momentum of the Earth is conserve
(hint:Gravitation is central force)
(b)By the result of (a),please derive Kepler's 2nd law
(c)Derive Kepler's 3rd law (assume that the orbit is circle)
(d)In fact, Einstein's General Relativity is more accurate than Newton's
theory. Can we abandon Newton's theory? Write down your answer.
2.Three sinusoidal waves of the same frequency travel along a string in
the positive direction of an x axis. Their amplitudes are A,2A/3,and A/4,
and their phase constants are 0, π/2,π,respectively. Then
(a)Calculate the amplitude of the resultant wave.
(b)Calculate the phase constant of the resultant wave.
(c)Plot the wave form of the resultant wave at t=0, and discuss its behavior
as t increase.
3.Fig A shows a cycle undergone by 1.00 mol of an idea monatomic gas.The
temperture are T1=300K,T2=600K,and T3=455K.
For 1→2, what are
(a)heat Q
(b)the change in internal energe ΔEint
(c)the work done W
(d)the change in entropy ΔS
For 2→3, what are
(e)heat Q
(f)the change in internal energe ΔEint
(g)the work done W
(h)the change in entropy ΔS
For 3→1, what are
(i)heat Q
(j)the change in internal energy ΔEint
(k)the work done W
(l)the change in erntopy ΔS
For the full cycle, what are
(m)heat Q
(n)the change in internal energy ΔEint
(o)the work done W
(p)the change in entropy ΔS
The initial pressure at point 1 is 1.00 atm(=1.013*10^5Pa)
What are the
(q)volume at point 2
(r)pressure at volume 2
(s)volume at point 3
(t)pressure at point 3
P
│ └ 請用凹向上曲線連起來
│
│2
│ │└
│ │ └
│ │ └
│ │ └
│ │ └
│ │ └
│1└────── 3
│
└──────────── V
4.
In the overhead view of Fig B, a long uniform rod of mass 1kg is free to
rotate in a horizontal plane about a vertical axis through its center.
A spring with force constant k=2000 N/m is connected horizontally between
one end of the rod and a fixed wall. When the rod is in equilibrium, it is
parallel to the wall
(a)What is the torque exerted by spring on the rod?(Assume a small angleθ
of rotation from the horizontal axis. Express your answer with total rod
length L, force constant k, and the horizon angle θ )
(b)What is the period of the small oscillation when the rod is rotated and
release?(the rotational inertia for a rod its center is I=mL^2 /12)
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§ k
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§ Rotation axis
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