推 dumbolover:是96上吧 06/14 18:21
課程名稱︰普通物理甲
課程性質︰必修
課程教師︰黃暉理
開課學院：生農學院
開課系所︰生物機電系
考試日期（年月日）︰97/1/16
考試時限（分鐘）：110-115分左右
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
試題 :
Part I Fill in with appropriate phrases or numbers for each blank; 4% per
blank(用括號括起來的數字就是要填入的格子編號)
1.The general condition(s) for angular momentum being conserved is (1).
The moment of inertia for a solid sphere of mass M, radius R0 is (2).
2.A meter stick, suspended from one end, swing as a physical pendulum. What
is its period of oscillation?(3); What would be the length of a simple
pendulum that would have the same period?(4)
3.At room temperature, the degrees of freedom for a diatomic, including
translational and rotational, is (5). The corresponding heat capacity Cp
is (6). The reason why Cp>Cv is that (7). Thermal energy kT expressed in eV
at 300K is approximately (8).
4.A hollow sphere of inner radius Ri and outer radius Ro floats half submerged
in a liquid of density d0. The density of the material of which the sphere is
made is (9).
5.The equation of a transverse wave traveling along a very long string is
given
by y=6.0sin(0.002πx+4.0πt), where x and y are expressed in centimeters and
t is in seconds. The amplitude of the wave is (10). The wavelength is (11).
The direction of propagation of the wave is (12).
6.Given the Maxwell-Boltzmann's speed distribution law:
n(v)=Av^2*e^(-mv^2/2kT)
where A is a constant. The most propable speed is (13). The root-mean-square
speed in intergration form can be expressed as (14).
(PS:v^2代表v平方，其餘以此類推)
7. A spaceship of mass m is initially in a circular orbit around an isolated
star of mass M. The radius of the orbit is R. If the kinetic energy of the
spaceship is doubled by a short burst of its engine, the final total energy
of the spaceship is (15).
(The potential energy is taken to be zero when the spaceship is at infinite
distance from the star. G is the gravitational constant.)
8.Make use of a TS diagram to describe the four thermodynamic processes invol-
ving Carnot heat engine.(16) Explain why entropy is a state function?(17)
According to text, there is no change in internal energy, no work done and no
heat energy change in free expension. Why then there is change in entropy?(18)
Part II(計算題)
Part I Fill in with appropriate phrases or numbers for each blank; 4% per
blank(用括號括起來的數字就是要填入的格子編號)
1.The general condition(s) for angular momentum being conserved is (1).
The moment of inertia for a solid sphere of mass M, radius R0 is (2).
2.A meter stick, suspended from one end, swing as a physical pendulum. What
is its period of oscillation?(3); What would be the length of a simple
pendulum that would have the same period?(4)
3.At room temperature, the degrees of freedom for a diatomic, including
translational and rotational, is (5). The corresponding heat capacity Cp
is (6). The reason why Cp>Cv is that (7). Thermal energy kT expressed in eV
at 300K is approximately (8).
4.A hollow sphere of inner radius Ri and outer radius Ro floats half submerged
in a liquid of density d0. The density of the material of which the sphere is
made is (9).
5.The equation of a transverse wave traveling along a very long string is
given
by y=6.0sin(0.002πx+4.0πt), where x and y are expressed in centimeters and
t is in seconds. The amplitude of the wave is (10). The wavelength is (11).
The direction of propagation of the wave is (12).
6.Given the Maxwell-Boltzmann's speed distribution law:
n(v)=Av^2*e^(-mv^2/2kT)
where A is a constant. The most propable speed is (13). The root-mean-square
speed in intergration form can be expressed as (14).
(PS:v^2代表v平方，其餘以此類推)
7. A spaceship of mass m is initially in a circular orbit around an isolated
star of mass M. The radius of the orbit is R. If the kinetic energy of the
spaceship is doubled by a short burst of its engine, the final total energy
of the spaceship is (15).
(The potential energy is taken to be zero when the spaceship is at infinite
distance from the star. G is the gravitational constant.)
8.Make use of a TS diagram to describe the four thermodynamic processes invol-
ving Carnot heat engine.(16) Explain why entropy is a state function?(17)
According to text, there is no change in internal energy, no work done and no
heat energy change in free expension. Why then there is change in entropy?(18)
Part II(計算題)
9.Although California is known fot earthquakes, it has large regions dotted
with precariously balanced rocks that would be easily toppled by even a mild
earthquake. The rocks have stood this way for thousands of years, suggesting
that major earthquakes have not occured in those regions during that time. If
an earthquake were to push such a rock into sinusoidal oscillation(parallel
to the ground) with a frequency of 2.2 Hz, an oscillation amplitude of 1.0 cm
would cause the rock to topple. What would be the magnitude of the maximum
accleration of the oscillation, in terms of g? (12%)
10.In Fig (a), a 30kg child stands on thhe edge of a stationary
merry-go-round
of mass 100kg and radius 2.0m. The rotational inertia of the merry-go-round
about its rotational axis is 150 kg.m^2. The child catches a ball of mass
1.0kg thrown by a friend. Just before the ball is caught, it has a horizontal
velocity v of magnitude 12 m/s, at angle ψ=37 degrees with a line tangent to
the outer edge of the merry-go-round, as shown. What is the angular speed of
the merry-go-round just after the ball is caught? (16%)
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