推 deepwoody :推第一題 朱老師的特色 XD 11/10 21:30
課程名稱︰普通物理學乙
課程性質︰必修
課程教師︰朱士維
開課學院：醫學院
開課系所︰醫學系
考試日期（年月日）︰2011/11/9
考試時限（分鐘）：180分鐘
是否需發放獎勵金：是，感謝:)
（如未明確表示，則不予發放）
試題 :
1.(10%)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 in successful interaction/communication is
to know others' names. So, please write down the names of our teaching
assistants in this General Physics course(in Chinese or English, be sure
you spell correctly).
2.(10%)(Order of magnitude estimation) The larger storage capacity of a
blu-ray disc compared to DVD(digital video disk) and CD(compact disk) is
achieved through smaller focal spot size. Assuming all discs have the same
active areas, which are capable of being written in, with an outer diameter
of 12cm and an inner diameter of 4cm. Please give an order of magnitude
estimation of the capacity of CD, DVD, and blu-ray disc, respectively.
(1 pit can store 1 bit of data and 8 bits composes 1 byte)
(圖示:1 pit 的個別尺寸(diameter): CD-2.11μm DVD-1.32μm Blu-ray-0.58μm)
3.(5%)There are three classes of levers, as shown in the figure. Which one is
suitable to describe our back when you bend forward to lift a weight?
(課本圖: http://i.imgur.com/RRuLg.jpg)
4.(5%)An object is held in place by friction on an inclined surface. The angle
of inclination is increased until the object starts moving. If the surface
is kept at this angle, the object
A. slows down
B. moves at uniform speed
C. speeds up
D. none of the above
Please explain explicitly the reason of your selection.
5.(5%)Consider the object on the inclined plane(angleθ);f is the frictional
force acting on it by the plane, N the normal force exerted on it due to the
plane,and W the weight of the object. If the object is stationary, which of
the following statements are true?
A. f=μN
B. f=Wsinθ
C. N=Wcosθ
D. none of the above
Please explain explicitly the reason of your selection.
6.(10%)Michael Jordan, the greatest basketball player of all time, is famous
of performing slam dunks from the free throw line. Given that the distance
of the basket to the free throw line d=4.225m, the height of the basket
H=3.05m, and assuming the ball height is also h=3.05m in Jordan's raised
hand, please determine (a)(5%)the minimal initial velocity at the free throw
line required for Jordan to perform slam dunk(Assuming he keeps his body
rigid and assuming the jump-off angle is 45 degree); (b)(5%)If he is 100-kgw
how much force should be applied by his leg to achieve this jump? What is
the direction of this force?
7.(5%)Calculate the terminal velocity of a 1-cm bug. Assume that the density
of bug is 1g/cm^3 and that the bug is spherical in shape with a diameter of
1cm. Assume further that the area of the bug subject to air friction is
πr^2. The coefficient of air friction is 0.88kg/m^3
8.(10%)The speed of F1 racing car is 360km/h. If the friction coefficient is
1.5 between the tires and track, how much angle the track should be banked
to allow the car to turn through a curve with 50-m radius? Neglecting air
drag here.
9.(10%)(a)Define yield and rupture strength. (b)Please plot a typical stress-
strain curve and identify the points of yield and rupture strength on the
curve.
10.(10%)(bonus)When two atoms form a molecule, such as O2, through chemical
bonding, the potential energy of the resultant molecular bond is called
Morse potential. Morse potential is a function of atom separation,
V(x)=Vo[1-exp(-x/δ)]^2-Vo. Knowing that the molecular force is equal to
F=-dV/dx, please find out the natural oscillation frequency when the
displacement x is small.
11.(10%)A 60-kgw person is performing fast-spin during ice-skating. He starts
from slow-spin during ice-skating. He starts from slow-spin with stretched
arms, and speeds up when he raises his arms. (a)(5%)Assuming the person can
be modeled as two cylinders. During"stretched arms" posture, the radius,
length and mass of the horizontal cylinder(the arms)are 10cm, 200cm, and 15
kg respectively. The radius and length of the vertical cylinder is 40cm and
160cm, respectively. While in the "raised arms" posture, the radius, length
and mass of the upper cylinder(the arms)are 10cm, 80cm, and 15kg,
respectively. Based on the table given below, what are the moments of
inertia of the performer with stretched arms and raised arms, respectively?
(b)(5%)The speed of slow-spin is 1rev/sec. What is the spin speed when the
performer raises his arms?(附有轉動慣量表)
12.(5%)Which kind of coin is easier to float on water?
A. 1NTD
B. 5NTD
C. 10NTD
D. 50NTD
Assuming that all coins are made of the same material. Please explain
your answer in detail.
13.(5%)We have mentioned in class that Bernoulli's equation can be derived
from Navier-Stokes equation with 4 assumptions, one of which is
"incompressible flow". Nevertheless, air is "compressible", so is it okay
to use Bernoulli's equation to explain fluid dynamics of air?
14.(5%)What is the main difference between Poiseuille's and Bernoulli's law?
15.(5%)How much is the average energy consumption of human body through
radiation per day?(assuming the emissivity of our body is 1; the value of
Boltzmann constant is 5.67 x 10^-8 W/m^2-K^4; make other necessary
assumptions by yourself)
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