課程名稱︰普通物理學甲上
課程性質︰必帶
課程教師︰朱士維助理教授
開課學院：理學院
開課系所︰材料系
考試日期（年月日）︰九十八年十一月十六日
考試時限（分鐘）：一百六十分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.during our entire lifetime, interactions with various people are inevitable.
it is vital to show mutual respect in these interactions. one of the key
components is successful interaction/communication is to know others' names.
so, please write down the names of our TA in this course.
2.(error propagation)the width and length of a rectangle are measured to be
20+-0.2 and 30+-0.4cm. assuming these two measurements are uncorrelated, what
is the measured area including error? <b>if you repeated this area measurement
for 50 times and get an average value, what is the expected uncertainty if
this measured average value.
3.michael jordan, the greatest basketball player of all time, is famous of
performing slam dunks from the free throw line d=40225m, the height if the
basket H=3.05m, and the ball height is also h=2.5m in Jordan's raised hand.
please determine <a> the minimal velocity at the free throw line required for
Jordan to perform slam dunk.(the jump-off angle is 30 degrees><b> without
lnowing the jump-off angle, what is the minimal initial velocity required.
4.with the same initial velocity, which ball will first arrive the end of the
line?<----------- -------------- vs ------------------------>
\--------/
5. how much work is done by the force F<x,y>=2xyi+x^2j(in N) along the curve
y=x^2+2x from point <0,0> to <1,3)(in meters)? i and j are unit vectors in
the x and y directions,respectively.
6.we have stated in class that a conservative force is one that can be derived
from a potential function V<r> by F(r)=-(gradient)V(r). please explain the
reason of this definition by deriving mechenical energy conservation from the
above equation.
7. please explaimn the principle of gyrocompass. what is the application of it?
be sure to express the relationship between the principle and applications.
8. in climbing rock terminology, the fall factor us defined as 2H/L , where L
is the rope length and H is the height above last summer. this indicates
that a climber's long fall far from the belayer is safer than a short fall
close to the belayer. can you explain the reason?
9.<a> how large is the centrifugal acceleration in a typical centrifuge?
assuming the radius of centrifuge is 10cm, and the maximal speed is
3000rev/s.<b> assume a super-fly that is capable of staying on the edge
of the centifuge when it is rotating at 3000rev/s. if the fly moves \
toward the center if centrifuge,k what is the direction of coriolis force
felt by the fly?
10. does friction force related to the sizre of contact area? give at least one
example of your statement.
11. tbe cluster decomposition postulate states:"the interaction between remote
systems is not affected by the fine details of the interaction between the
constituents within each system." please derive Newton's third law, and
more importantly, the conservation of momentum from this postulate.
12. assuming gravitational force is the only active force and knowing that the
radius of earth is 6000000 m, what is the horizontal launch speed reqiored
for a baseball to orbit around the whole earth?<there are at least two ways
>with this launch speed, what is the orbiting period of this baseball?<i.e
how long will it come back to your hand?
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