課程名稱︰普通物理甲
課程性質︰化工系定必修
課程教師︰趙治宇
開課學院：理學院
開課系所︰物理系
考試時間︰11/23 10:20~13:10
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.A graph of acceleration a versus t time for a particle as it moves along an x axis is shown in Fig.1.At t=0 the coordinate of the particle is 4.0m and the velocity v is 2.0m/s.(a)What is the velocity of the particle at t=2.0s? (b)Write an expression for v(t) in meters per second that is valid for the interval 2.0s < = t < = 4.0s.(4%,4%)
2.In Fig.2 asled moves in the negative x direction at constant speed Vs while a ball of ice is shot from the sled with a velocity Vo=Vox+Voy(向量) relative to the sled.When the ball lands,its horizontal displacement ΔXbg relative to the ground (from its launch position to its landing position) is measured.Fig.2 gives ΔXbg as a function of Vs.Assume the ball lands at approximately its launch height.What are the values of (a)Vox and (b)Voy? The ball's displacement ΔXbs relative to the sled and also be
measured.Assume that the sled's velocity is not changed when the ball is shot.What is ΔXbs when Vs is (c)5.0 m/s?(3%,3%,2%)
3.As shown In Fig.3 ,a man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless,frictionless pulley and backdown to the man's hand.The combined mass of man and chair is 95.0kg.What is the magnitude of the force on the ceiling from the pulley system (a) id he is to rise with a constant velocity.(b)If he is to rise with an upward acceleration of 1.30m/s^2.(c)If the rope on the right extends to the ground and is pulled by a co-worker pull for the man to rise with an
upward acceleration of 1.3m/s^2?(2%,3%,3%)
4.As shown in Fig.4,a 1.34kg ball is connected by means of two massless strings,each of length L=1.70m,to a vertical,rotating rod.The strings are tied to the rod with separation d=1.70m and are taut.The tension in the upper string is 35N.What are (a)the tension in lower string,(b)the magnitude of the net force F(net) acting on the ball,and(c)the speed of the ball?(3%,2%,3%)
5.A 2.0kg lunchbox is sent sliding over a frictionless surface,in the positive direction of an x axis along the surface.Beginning at time t=0,a steady wind pushes on the lunchbox in the negative direction of the x asxis.Fig.5 shows the position of the lunchbox as a function of time t as the wind pushes on the lunchbox.From the graph,estimate the kinetic energy of the lunchbox at (a)t=1.0s and (b)t=5.0s (c)How much work does the force from the wind do on the lunchbox from t=1.0s to t=5.0s?(3%,2%,3%)
6.In fig.6,ablock slides along a path that is without friction until the block reaches the section of length L=0.75m,which begins at height h=2.0m on a ramp of angle Θ=30度.In that section, the coefficient of kinetic friction is 0.40.The block passes through point A with a speed of 8.0m/s.If the block can reach point B(where the friction ends),what is its speed there,and if it cannot,what is its greatest height above A?(8%)
7.In Fig.7,block 1(mass 2.0kg) is moving rightward at 10m/s and block2(mass 5.0kg) is moving rightward at 3.0m/s.The surface is frictionless,and a spring with a spring constant of 1120N/m is fixed to block2.When the blocks collide,the compression of spring is maximum at the instant the blocks have the same velocity.Find the maximum compression.(6%)
8.A uniform spherical shell of mass M=4.5kg and radius R=8.5cm and rotate about a vertical axis on frictionless bearings,shown in Fig.8.A massless cord passes around the equator of the shell,over a pulley of rotational inertia I=3.0*10^(-3) kg*m^2 and radius r=5.0cm,and is attached to a small object of mass m=06.kg.There is no friction on the pulley's axle;the cord does not slip on the pulley.What is the speed of the object when it has fallen 82cm after being released from rest?(8%)
9.Describe the working principle of a calorimeter which can measure the heat change down to 10^(-12) joule.(8%)
10.Derive the moment inertia of (a)a hollow sphere and (b) a solid sphere.(5%,5%)
11.Derive (a)the rocket equation and (b)the formula for finding the final velocity of an accelerating rocket whose fuels are uniformly decreased with time.(5%,5%)
12.(a)What is the principle of time-of-flight mass spectrometer?(6%)
(b)Why a superconductor has no resistence at low temperature?(4%)
註 All figures comes from Fundamentals of Physics (Halliday 7th)
Fig.1 P35--82
Fig.2 P82--75
Fig.3 P111--50
Fig.4 P135--51
Fig.5 P163--55
Fig.6 P194--61
Fig.7 P234--53
Fig.8 P269--67
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◆ From: 140.112.241.133
※ 編輯: purelegant 來自: 140.112.241.133 (11/28 21:17)