大学物理双语练习题
《物理双语教学试题》Fundamentals of Physics - 大一 第2学期 Test 5 电学计算题
Fundamentals of Physics-Test 5EXAMINEE NAME:Solve 8 of the following 10 problems.1． A particle moves so that its position as function of time in SI units isk t j t i r ++=24. Write expressions for (1) its velocity and (2) its acceleration asfunctions of time.2． The potential energy of a diatomic molecule (a two-atomic system like 2H ) is given by 612rB r A U -=, where r being the separation of the two atoms of the molecule and A and B being positive constants, This potential energy is associated with the force that binds the two atoms together. Find the equilibrium separation, that is, the distance between the atoms at which the force on each atom is zero.3． The figure shows a uniform disk, whose mass is M andwhose radius is R, mounted on a fixed horizontal axle (therotational inertia about the axis can be regarded as2/2MR ). A block, whose mass is m, hangs from amassless cord that is wrapped around the rim of the disk.Find (1) the acceleration of the falling block (assuming thatit does fall); (2) the angular acceleration of the disk; and (3)the tension in the cord. The cord does not slip, and there is no friction at the axle.4． A transverse sinusoidal wave of wavelength 20 cm is moving along a string, towardincreasing x. The transverse displacement of thestring particle at x=0 as a function of time isshown in the Figure. Find (1) the amplitude, (2)period of wave, (3) the velocity of propagation ofthe wave? (4) Write the equation for the wave with all the constants evaluated.5． Pressure p , volume V , and T for a certain material are related byV BT AT p /)(2-=, where A and B are constants. Find an expression for the work done by the material if the temperature changes from 1T to 2T while thepressure remains constant.6． For the hypothetical speed distribution for N gasparticles shown in the Figure. [2)(v C v P = for 0)(;00=≤<v P v v for 0v v >]. Find (1) anexpression for C in terms of N and 0v , (2) theaverage speed of the particles.7． 4 electrons are equally spaced and fixed around a circle of radius R. Relative to V=0 at infinity, what are the electric potential and electric field at the center of the circle due to these electrons?8． Charge is distributed uniformly through the volume of an infinitely long cylinder of radius R. Show that at a distance r from the cylinder axis (for r<R), )2/(0ερr E =, where ρ is the volume charge density.9． Two long wires a distance d apart carry equalanti-parallel current i, as in the Figure. (1) Show that themagnitude of the magnetic field at point P, which isequidistant from the wires, is given by)4(2220d R id B +=πμ. (2) In what direction does B point? 10. A rectangular loop of wire with length a, width band resistance R is placed near an infinitely longwire carrying current i, as shown in Figure. Thedistance from the long wire to the center of theloop is r. Find (1) the magnitude of the magneticflux through the loop and (2) the current in the loop as it moves away from the long wire with speed v .。
西尔斯大学物理双语版答案
1. S: 2kv dtdva -==2kv dxdvv dt dx dx dv -==k d x v dvxx vv -=⎰⎰)(ln00x x k v v--= )(00x x k e v v --= (answer)2. S: j t i t dt rd v )3cos 15()3sin 15(+-== jt i t dtv d a )3sin 45()3cos 45(-+-==()()j t i t j t i t v r)3cos 15()3sin 15()3sin 5()3cos 5(+-⋅+=⋅j j t t i i t t⋅⋅+⋅⋅-=)3c o s 3s i n 75()3sin 3cos 75( 0= (proved c)3. S: dtdv v m k m f a =-==dt mkv dv t t v v -=⎰⎰0)(0t mkv t v -=0)(ln t m ke v t v -=0)( (answer) D: t m k e v dtdxv -==0dt e v dx t m k tt x -⎰⎰=00)(0kmv x e kmv ekmv t x t m k t t mk 0max 00),1()(=-=-=--4. S: )()32(j y d i dx j i x r d f dw+⋅+=⋅=dy xdx dw w fi32+==⎰⎰dy xdx 323342⎰⎰--+== -6 J (answer)5. S: 23230.60.4)0.30.4(t t t t t dtddt d +-=+-==θω, t t t dtddt d 60.6)30.60.4(2+-=+-==ωα 0.40300.60.4)0(2=⨯+⨯-=ω (answer of a)0.28)0.4(30.40.60.4)0.4(2=⨯+⨯-=ω rad/s (answer of a ) 60.266)0.2(=⨯+-=α rad/s 2 (answer of b )t t 60.6)(+-=α is time varying not a constant (answer of c) 6. S: ω20031222ML L v m L mv +⋅= MLmv ML L mv 4343020==ω (answer a))c o s 1(2)31(21m a x 22θω-=LMg ML ]1631[cos 2221maxgLM v m -=-θ (answer b) 7. G: m =1.0g, M =0.50kg, L =0.60m, I rod =0.0602m kg ⋅,s rod /5.4=ωR:I sys , v 0S: I sys =I rod +(M+m)L2=0.060+(0.50+0.0010)×0.602= 0.24 2m kg ⋅(answer)the system ’s angular momentum about rotating axis is conservative in the collision.sysI L mv ω=0s m mL I v sys/108.160.00010.024.05.430⨯=⨯⨯==ω (answer )D: The bullet momentum 0v m p=(before impact), its angular momentumabout rotating axis can be expressed as L mv 0(a scalar) 8. S:γ==00.800x xt v c -∆==0811800.600 3.0010t t γ∆=∆=⨯⨯ 9. S: 202202)(mc E cp E E γγ==+=222c p m c m c m c =10. S: 0i n t =-=∆n e t n e t W Q E n e t n e t W Q = 1(3010)(4.0 1.0)2=-- J 30= (answer)11. S: from nRT PV =and K T A 300= we can get:KT K T C B 100300== (answer of a)Change of internal energy between A and B:0)(23int =-=∆A B T T k n E (answer of b)The net work of the cycle:))(100300()13(2121m N AC BC W ⋅-⋅-=⋅=J 200= (answer of c) From the first law : W E Q +∆=int we can derive:the net heat of the whole cycle is J W Q 200== (answer)12. S: 131)(320===⎰⎰∞F v Av dv Av dv v p F33FvA =(answer of a ) F F v a v g v Av dv vAv v F4341420===⎰13. G: T 1=T 2=T , m 1, p 1, v rms,1, m 2, p 2=2p 1, v avg,2 = 2v rms,1 R: m 1 / m 2 S: v avg,2 =1.602m kTv rms,1 = 1.731m kTv avg,2 = 2v rms,167.4)60.173.12(221=⨯=m m (answer) 14. S: dE int =dQ – dWd Q = dE int + dW = n C v dT+pdV VdVnR T dT nC dV T p T dT nC T dQ dS v v +=+==if i f v VV v T T V V nR T T nC V dVnR T dT nC ds S f i filnln +=+==∆⎰⎰⎰ 15. S: dA E q θεcos 0⎰=212100)0.60100(1085.8⨯-⨯⨯=- C 61054.3-⨯= 16. S: 2041)(r Qr E πε=(R < r <∞) dr rQ dr r E udV dU 2022208421πεπε=⋅== RQ r dr Q udV U R0220288πεπε===⎰⎰∞(answer) RQ r dr Q U r r Rεπεεπε02202*88==⎰∞(answer ) 18. S: in the shell of r – r + drdr r R r dV r dq 204)/1()(πρρ-==)34(31)/(4)(4303200r Rr dr R r r dq r q r-=-==⎰⎰πρπρfrom the shell theorems , within the spherical symmetry distribution )34(12)(41)(20020r Rr Rr r q r E -==ερπε (answer of b)R r r R Rdr dE 320)64(12*00=⇒=-=ερ 00200*max 9])32(3324[12)(ερερRR R R R r E E =-⨯== 19. S: j yV i x V V gradV y x E∂∂-∂∂-=-∇=-=),( )0.20.2(y x x VE x +-=∂∂-= x yV E y 0.2-=∂∂-= )/(480.2)0.20.2()0.2,0.2(m V j i j x i y x E--=-+-=20. S: Q in = - q , Q out = q (answer ) 1010241241)0(R qq V q πεπε==104)0(R qV in πε-=204)0(R q V o u t πε=)0()0()0()0(out in q V V V V ++= )11(4210R R q +=πε21. S: from the planar symmetry and superposition principle, Emust in normal direction of the plates and 1σ,2σ,3σ,4σ must be const. Fromcharge conservationA Q S =+)(21σσ ⇒ SQ A=+21σσ (1) B Q S =+)(43σσ ⇒ SQ B=+43σσ (2) Apply Gauss ’ law in the closed surface shown in Fig. 032=+σσ (3)within the metal, 0=p Ewhich leads to002222432104030201=-++⇒=-++σσσσεσεσεσεσFrom(1), (2), (3), (4) yield:⎪⎪⎩⎪⎪⎨⎧-=-=+==S Q Q SQ Q B AB A 223241σσσσ (answer of a) (6 points) 004030201122222εεσεσεσεσS Q Q E BA p -=--+= (1 point) 004030201222222εεσεσεσεσS Q Q E BA p +=+++=(1 point) (answer of b) d S Q Q d E d E V BA p AB 012ε-==⋅= (2 points) (answer of c)27.33()(32)18w F x dx x dx J ==+=⎰⎰；at x=3m212W mV =， 6/V m s =。
05-06(2)《大学物理(A)I》期末考试试卷(双语)(滕小瑛)
3. Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are y1m and y2m. The smallest possible amplitude of the resultant wave is: A) y1m + y2m and occurs when they are 180° out of phase B) ⎜y1m – y2m⎜ and occurs when they are 180° out of phase C) y1m + y2m and occurs when they are in phase D) ⎜y1m – y2m⎜ and occurs when they are in phase []
8. A standing wave pattern is established in a string as shown. The wavelength of one of the component traveling waves is: _______ _________.
9.. In theYoung’s double-slit system, if one of slits is covered up by a media layer （媒质膜） (n=1.40) and the other is covered up by a media layer (n=1.70), (they have same thickness). After the two media layers are inserted, the original central bright fringe will be replaced by the 7-order bright fringes (屏幕上原中央极大所在点变为第七级明纹), if the wavelength of incident light is 450nm, The thickness of both two layers is__________________________。
《物理双语教学试题》Fundamentals of Physics - 大一 第2学期 Test 4 力学 热学 电学 计算
Fundamentals of Physics-Test 4EXAMINEE NAME:Solve 8 of the following 10 problems.1．The position of an electron is given by k j t i t r 0.20.40.32+-= (where t is inseconds and the coefficients have the proper units for r to be in meters). Find theexpressions for (1) its velocity )(t v , and (2) its acceleration )(t a .2．Several planets possess nearly circular surrounding rings.Consider a homogeneous ring of mass M and radius R. (1)What gravitational attraction does it exert on a particle ofmass m located a distance x from the center of the ringalong its axis? (2) Suppose the particle falls from rest asa result of the attraction of the ring of matter. Find an expression for the speed with which it passes through the center of the ring.3．Two blocks of mass 1m and 2m (21m m <) are connected by a massless cord thatis wrapped around a uniform disk of mass M and radius R,whose rotational inertia about the axis is 2/2MR I =. Thedisk can rotate without friction about a fixed horizontal axisthrough its center; the cord cannot slip on the disk. Thesystem is released from rest. Find (1) the magnitude of theacceleration of the blocks, (2) the tension 1T in the cord at the left, and (3) thetension 2T in the cord at the right.4．A sinusoid transverse wave is travelingalong a string toward decreasing x. Thefigure shows a plot of the displacement asa function of position at time t=0. Thestring tension is N 6.3, and its lineardensity is m g /25. Find (1) theamplitude, (2) the wavelength, (3) thewave speed, and the period of the wave. (4) Write an equation describing the traveling wave.5．Show that the ideal gas equation nRT pV =can be written in the following alternative form M RT p /ρ=, whereρ is the mass density of the gas and M the molar mass.6．One mole of an ideal mono-atomic gas is takenthrough the cycle in the Fig. (1) How much workis done by the gas in going from state a to state calong path abc? What are the changes in internalenergy and entropy in going from b to c? Expressall answers in terms of the pressure 0p , volume 0V , and temperature 0T of statea.7．4 electrons are equally spaced and fixed around a circle of radius R. Relative to V=0 at infinity, what are the electric potential and electric field at the center of the circle due to these electrons?8．A non-conducting rod of length Lhas charge -q uniformly distributedalong its length. (1) What is the linear charge density of the rod? (b) What is the electric field at point P, a distancea from the end of the rod?9．A particle of charge magnitude q and mass m moving perpendicular to a uniformmagnetic field B at speed v . The particle will move in a circle. Find (1) theradius of the circular path, (2) the period of the motion.10. A coil C of N turns is placed around a longsolenoid S of radius and n turns per unit length, asin the Fig. Show that the mutual inductance for thecoil-solenoid combination is given bynN R M 20πμ=.。
英文版物理题
英文版物理题以下就是小编给大家盘点的英文版物理题，仅供大家参考。
以下是一些英文版物理题：1.A50kg block is resting on a frictionless horizontal surface.A force of100N is applied to the block in the horizontal direction.What is the acceleration of the block?2.An object is thrown vertically upwards with an initial velocity of20m/s.忽略空气阻力，计算该物体达到最高点所需的时间和高度。
3.A ball is thrown horizontally with a velocity of10m/s from a height of5m.Calculate the horizontal distance the ball travels before hitting the ground.4.A10kg mass is attached to a spring with a spring constant of50N/m.The mass is displaced 0.2m from its equilibrium position and released. Calculate the maximum speed of the mass as it oscillates back and forth.5.A current of5A flows through a resistor witha resistance of10Ω.Calculate the potential difference across the resistor.These are just a few examples of英文版物理题.The specific questions and topics will depend on the level of physics and the course curriculum.。
中南大学双语物理月日试卷
中南大学双语物理月日试卷09Question One. Fill in the blanks (24 marks total, 4 marks each)1. The surface charge density of a conductor of arbitrary shape in vacuum is (,,)x y z σ. Then the electric field near the conductor ’s surface has magnitude and its direction is .2. The electric potential at points in an xy plane is given by 22210V x y =--+. Find the magnitude and direction of the electric field at point (1, 2). E = ___, and the direction is __ .3. An alternating voltage of the form 0sin V V t ω=is applied across an air-filled parallel-plate capacitor of areaA and separation d . Find (a) the electric flux E Φthrough a surface between the two plates of the capacitor with area A and parallel to the plates, and (b) the displacement current d i in the capacitor. E Φ= ___, d i =____.4. A conducting rod MN of length L located on the horizontal plane rotates about point O , adistance L /3from end N, at a constant angular speed ω .A uniform magnetic field B pointsupward vertically (Fig.1-1). The magnitude of the motional emf in the rod is . Which endof the rod has higher potential? . 5. In vacuum, the energy density of an electromagnetic wave at a point is . The ratio of E to B is .6. The energy required for the quantum jump of the electron in ground state to the energy level with n =4 in hydrogen atom is . The number of spectra lines that this excited electron can emit is .Question Two. Multiple-choice questions (30 marks total, 3marks each)1. Figure 2-1 shows the electric field lines of concentric conducting solid sphere and conductingspherical shell. Then the spherical shell is (a) positively charged ；(b) electrically neutral;(c) negatively charged; (d) not enough information.2. An infinitely long straight charged plastic rod with uniform linear charge density λ is placed invaccum, and then electric field energy density at a point, a distance r from the rod, is given by (a) 22202r λεπ; (b) 22204r λεπ;(c) 22206r λεπ; (d) 22208rλεπ. 3. An electron with charge e moves in a circle of radius r at a constant speed v , and then its magnetic dipolemoment is given by (a) 232er vπ；(b) 12evr ; (c) 22er v π; (d) 2212ev r . 4. A particle of charge q and mass m moves at a radius r in a uniform magnetic field B , and then the particle ’skinetic energy is given by (a) 2222q B r m ；(b) 222mq B r ;(c) 222mB r q; (d) 222mq r B . 5. The diameter of a circular loop is equal to the side of a square. If the two loops carry the same current, the ratio of magnetic field magnitude B C at the center of the circular loop to the magnetic field magnitude B S at the center of the square /C S B B is (a)0.8；(b)1.00; (c) 1.22; (d) 1.11.6. Within which kind of material do magnetic domains exist?(a) Diamagnetic material ；(b) Paramagnetic material; (c) Ferromagnetic material; (d) None of above.7. A plane electromagnetic wave travels along positive x -axis , and then its wave function can be expressed as (a) sin(),sin()m m E E kx t B B kx t ωω=+=-；(b) sin(),sin()m m E E kx t B B kx t ωω=-=-; (c) sin(),sin()m m E E kx t B B kx t ωω=+=+;(d) sin(),sin()m m E E kx t B B kx t ωω=-=+.8. A beam of light with wavelength λ travels along the +x -axis. If the uncertainty in wavelength is represented by Fig. 1-1Fig.2-1λ, then using Heisenberg ’s uncertainty principle 2x x p ≥ (here /2h π=), the uncertainty inphoton ’s position ?x can be expressed as (a) 22x πλλ?≥?；(b) 24x πλλ≥?; (c) 24x λπλ?≥?; (d)22x λπλ?≥?. 9. For a given value of n =2, the possible values of the magnitude of orbital angular momentumfor an electron confined to an atom are (a) 0,; (b) 0,; (c) 0,; (d) .10. There are different types of artificial electron traps. Which one is not an electron trap below?(a) nano-crystallites ；(b) quantum dots; (c) quantum corrals;(d)quantum numbers.Question Three. Calculation problems (40 marks total, 10 marks each)1. A solid nonconducting sphere of radius R has anonuniform charge distribution of volume charge density 20/kr e r ρρ-=, where ρ0 and k ar e constant and r is the distance from the center ofthe sphere. (a) Calculate the total charge of the sphere. (b) Determine the distribution of electricfield inside and outside the charged sphere.2. A charge q is uniformly distributed along a nonconducting rod of length 2l (Fig. 3-1). Assumingthat V =0 at infinity, find (a) the electric potential at point P , a distance d from the midpoint of therod along the perpendicular bisector of the rod, and (b) the work done by the electric field inbringing a point charge q 0 from infinity to point P .（Hint:ln(x C =+）3. A straight wire ab of length L carrying current i 2 is placed near a long straight wire cd carryingcurrent i 1 in the same plane. The straight wire ab makes an angle α with the long straig ht wire and end a is at a distance D away from it, as shown in Fig.3-2. Calculate the force acting on wire ab due to wire cd .4. A toroid with N turns has a rectangular cross-section as shown in Fig.3-3. If the toroidcarries a current i , the magnetic flux through the cross-section can be expressed as02Nih μπΦ=. (a) Find the ratio of R 2 to R 1, where R 2 and R 1 are the outer radius andthe inner radius of the toroid respectively. (b) If h =0.01 m and N=100, determine theself-inductance of the toroid. (c) If the current in the toroid is 0cos i i t ω=, where i 0 is aconstant, calculate the induced emf in the toroid. Question Four. Proof (6 marks)A beam of light of wavelength λ is incident on the surface of a metal and knocks outphotoelectrons which pass through a slit and then enter a uniform magnetic field, where the photoelectrons would undergo a uniform circular motion, as shown in Fig.4-1. Suppose that the maximum radius of the uniform circular motion is R . Show that the wor k function Φ of the metal is given by 222 2e hce B R m λΦ=-. Fig. 3-1 Fig. 3-2Fig. 3-3Fig. 4-1。
大学物理双语(上)试题A卷
2010─2011年 第 一 学期 《 大学物理》双语试卷( A 卷)注意：1、本试卷共 3 页； 2、考试时间: 120 分钟 3、姓名、学号必须写在指定地方 4、可以携带计算器常用常数：R =8.31J·mol -1·K -1k=1.38×10-23J·K -1c=3.00×108m/sg=9.8m/s 2 N A =6.02×1023mol -1 1atm=1.013×105PaⅠ. Filling the Blanks(每小题 2 分，共 20 分)1．一空气平行板容器，两板相距为d ，与一电池连接时两板之间相互作用力的大小为F ，在与电池保持连接的情况下，将两板距离拉开到3d ，则两板之间的相互作用力的大小是2. There is a point charge of electric quantity Q at the center of a cube, the electric flux through one surface of cube is3．如图1，一根无限长直导线通有电流I ，在P 点处被弯成了一个半径为2R 的圆，且P 点处无交叉和接触，则圆心O 处的磁感强度大小为_______________，方向为______________4. As shown in the figure 2, in the vacuum let the metal sphere with radius R be grounded, place a point charge q with a distance r (r>R) away from the center O of the sphere, the total induced charge on the surface of the metal sphere is5. 如图3所示，AOC 为一折成∠形的金属导线（AO =OC = L ），位于xoy 平面上. 磁感应强度为B 的匀强磁场垂直于xoy 平面. 当AOC 以速度v 沿x 轴正向运动时，导线上A 、C 两点间的电势差U AC = ，当以速度v 沿y 轴正向运动时A 、C两点中 点电势高.6．一空气平行板电容器，接电源充电后电容器中储存的能量为W 0，在保持电源接通的条件下，在两极间充满相对电容率为rε的各向同性均匀电介质，则该电容器中储存的能量W 为________________7． The period of a pendulum(单摆) is measured to be 3.0s in the reference frame of the pendulum. The period when measured by an observer moving at a speed of 0.95c relative to the pendulum is8．把一个静止质量为0m 的粒子，由静止加速到0.6v c =(c 为真空中的光速)需做功为 Ⅱ．Choose the Correct Answer(每小题 3 分，共 30 分)1. 关于刚体对轴的转动惯量，下列说法中正确的是 （ d ） (A) 只取决于刚体的质量，与质量的空间分布和轴的位置无关. (B) 取决于刚体的质量和质量的空间分布，与轴的位置无关. (C) 只取决于转轴的位置，与刚体的质量和质量的空间分布无关.(D) 取决于刚体的质量，质量的空间分布和轴的位置.2．When a mass point is in a circular motion then ( b ) (A) The tangential acceleration definitely change, the normal acceleration also change.(B) The tangential acceleration may not change, the normal acceleration definitely change.Figure 3(C) The tangential acceleration may not change, the normal acceleration does not change.(D) The tangential acceleration definitely change, the normal acceleration does not change.3．两容器内分别盛有氢气和氦气，若它们的温度和质量分别相等，则：( a )(A) 两种气体分子的平均平动动能相等. (B) 两种气体分子的平均动能相等. (C) 两种气体分子的平均速率相等. (D) 两种气体的内能相等.4. As shown in the Fig , an object with mass m tied by a thin thread, which isparallel to an inclined plane, is placed on a smooth inclined plane. If the inclined plane moves toward to left with acceleration, when the object departs the inclined plane, its acceleration is (d )(A) sin g θ (B) cos g θ (C) tan g θ (D)cot g θ5. 某时刻驻波波形曲线如图3所示,则a 、b 两点的相位差是（a ）(A) π (B) 2π(C) 54π (D) 06. An uniform thin rod OA is pivoted on a frictionless hinge at one end O, as shown in Fig . The rod is held at rest horizontallyand then released. When it reaches the verticalposition which one is correct of following statements ( c )(A) Angular velocity varies from small to big, angular acceleration remains unchanged(B) Both angular velocity and angular acceleration vary from small to big(C) Angular velocity varies from small to big, while angular acceleration varies from big to small(D) Angular velocity remains unchanged, angular acceleration equals zero7. 如图所示系统置于以2g的加速度上升的升降机内，A 、B 两物体质量相同均为m ，A 所在的桌面是水平的，绳子和定滑轮质量不计，若忽略滑轮轴上和桌面上的摩擦并不计入空气阻力，则绳子张力为 ( c )(A) mg (B) 14mg (C) 34mg (D) 58mg8. Which of the following statements is NOT true: ( ) (A) No two electric field lines can cross each other(B) The electric field vector is tangent to the electric field line at each point. (C) Magnetic field lines are always closed curves(D) The magnetic fields can be produced by current, so magnetic fields have sources9. 在某地发生两件事，静止位于该地的甲测得时间间隔为3s ，若相对甲以4c/5(c 表示真空中光速)的速率作匀速直线运动的乙测得时间间隔为：(A) 2.4s (B) 4s (C) 3.6s (D) 5s ( )10. A Carnot heat engine works between the high temperature source of 327o C and low temperature heat source of 27 o C. It absorbs 2000J heat in each cycle, how many work does it do on exterior ( b ) (A) 2000J (B)1000J (C) 4000J (D) 500JⅢ．1.有一质量为m1、长为l 的均匀细棒，可绕过棒端且垂直于棒的光滑水平固定轴O 在竖直平面内转动．棒静止处于竖直位置，另有一水平运动的质量为m2的小物块，从侧面垂直于棒与棒的另一端A 相撞，设碰撞时间极短，已知小物块在和，方向如右图所示. 求碰撞后细棒(已知棒绕O 点的转动惯量J=m 1l 2/3).分)Ⅳ．A rectangular loop of width a and length b islocated near a long wire carrying a current I (Fig. 8). The distance between the wire and the closest side(10分)Figure 7Ⅴ如图9所示，一段长度为 l的直导线MN ， 水平放置在载电流为I 的竖直长导线旁与竖直导线共面，并从静止由图示位置自由下落，求经过t 秒时导线两端的电势差。
物理练习题英语
物理练习题英语Physical Exercise Questions in English1. A car is traveling at a constant speed of 60 km/h. How much time will it take to cover a distance of 240 km?Solution:To find the time, we can use the formula: time = distance / speed.Substituting the given values, we have: time = 240 km / 60 km/h.Simplifying the equation, we get time = 4 hours.2. An object is dropped from a height of 100 meters. What will be its velocity after 2 seconds?Solution:The velocity of a freely falling object can be calculated using the formula: velocity = initial velocity + (acceleration × time).Since the object is dropped, the initial velocity is 0 m/s. The acceleration due to gravity is approximately 9.8 m/s².Substituting the values, we have: velocity = 0 m/s + (9.8 m/s² × 2 s).Simplifying the equation, we get velocity = 19.6 m/s.3. A bullet is fired horizontally from a gun with an initial velocity of 400 m/s. How far will it travel in 10 seconds?Solution:Since the bullet is fired horizontally, there is no vertical acceleration. Therefore, the horizontal distance can be calculated using the formula: distance = initial velocity × time.Substituting the given values, we have: distance = 400 m/s × 10 s.Simplifying the equation, we get distance = 4000 meters.4. A block of mass 2 kg is placed on a horizontal surface. There is a force of 10 N acting on the block in the positive x-direction. What is the acceleration of the block?Solution:The force acting on an object can be related to its mass and acceleration using Newton's second law: force = mass × acceleration.Given that the force is 10 N and the mass is 2 kg, we can rearrange the equation to find the acceleration: acceleration = force / mass.Substituting the values, we have: acceleration = 10 N / 2 kg.Simplifying the equation, we get acceleration = 5 m/s².5. A spring has a spring constant of 100 N/m. How much work is done in stretching the spring by 0.05 meters?Solution:The work done in stretching a spring can be calculated using the formula: work = (1/2) × spring constant × (change in length)².Given that the spring constant is 100 N/m and the change in length is0.05 meters, we have: work = (1/2) × 100 N/m × (0.05 m)².Simplifying the equation, we get work = 0.125 Joules.6. A ball is thrown vertically upwards with an initial velocity of 20 m/s. How high will it rise?Solution:The maximum height reached by a vertically thrown object can be calculated using the formula: height = (initial velocity²) / (2 × acceleration due to gravity).In this case, the initial velocity is 20 m/s and the acceleration due to gravity is 9.8 m/s².Substituting the values, we have: height = (20 m/s)² / (2 × 9.8 m/s²).Simplifying the equation, we get height = 20.41 meters.These are some physical exercise questions in English along with their solutions. Practice these problems to enhance your understanding of physics concepts and problem-solving skills.。
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
Chapter 1 Particle KinematicsI) Choose one correct answer among following choices1. An object is moving along the x-axis with position as a function of time given byx=x(t). Point O is at x=0. The object is definitely moving toward O when2. An object starts from rest at x=0 when t=0. The object moves in the x direction with positive velocity after t=0. The instantaneous velocity and average velocity are related byA. v vB. v vC. v vdx x can be larger than, smaller than, or equal to3. An object is moving in the x direction with velocityA. Negative.B. Zero.C. Positive.D. Not determined from the information given. 4. An object is moving on the xy-plane with position as a function of time given by r = 2 2 a t i + b t j (a and b are constant). Which is correct?A. The object is moving along a straight line with constant speed.B. The object is moving along a straight line with variable speed.C. The object is moving along a curved path with constant speed.D. The object is moving along a curved path with variable speed.5. An object is thrown into the air with an initial velocity v 0 (4.9i 9.8 j)m/s.Ignore theair resistance (空气阻力 ). At the highest point the magnitude of the velocityis ( )(A) 0 (B) 4.9m/s (C) 9.8m/s (D) (4.9)2 (9.8) 2 m/s6. Two bodies are falling with negligible air resistance, side by side, above a horizontalplane. If one of the bodies is given an additional horizontal acceleration during its descent, it A. dx 0 dt B. dx 0 dt C. d(x 2) dt D. d(x 2) dtD.v x (t), and x is nonzero x dtconstant. With v x 0 when t=0, then for t>0 the quantity v x dv x v xdt isA.strikes the plane at the same time as the other body.B.strikes the plane earlier than the other body.C.has the vertical component of its velocity altered.D.has the vertical component of its acceleration altered.7. A toy racing car moves with constant speed around the circle shown below. When it is at point A its coordinates are x=0, y=3m and its velocity is 6m/s i . When it is atpoint B its velocity and acceleration are:22A.-6m/s j and 12m/s i , respectively.B. 6m/s j and -12m/s i , respectively.22C. 6m/s j and 12m/s i , respectively.D. 6m/s j and 2m/s i , respectively.8. A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0m/s in a vertical circle. Its acceleration at the bottom of the circle is:2 2 2 2A. 9.8m/s , upB. 9.8m/s , downC. 8.0m/s , upD. 32m/s , up9. A boat is able to move through still water at 20m/s. It makes a round trip to a town3.0 km upstream. If the river flows at 5m/s, the time required for this round trip is:B.150 sC. 200 sD. 320 sA. 120 sII)Fill in the empty space with correct answer1. A particle goes from x=-2m, y=3m, z=1m to x=3m, y=-1m, z=4m. Its displacement is : .2.The x-component of the position vector of a particle is shown in the graph in Figureas a function of time.(a)The velocity component v x at the instant 3.0 s is .(b)When is the velocity component zero ? The time is .(c)Is the particle always moving in the same direction along the x-axis? .23.The angle turned through by a wheel is given byθ ＝at+bt , where a and b are constants. Its angular velocityω ＝, and its angular accelerationβ ＝4.When a radio wave impinges on the antenna of your car, electrons in the antennamove back and forth along the antenna with a velocitycomponent v x as shown schematically in Figure . Roughly sketchthe same graph and indicate the time instants when(a)The velocity component v x is zero;(b)The acceleration componenta x is zero;(c)The acceleration has its maximum magnitude.5. A car is traveling around a banked, circular curve of radius 150 m on a test track. At the instant when t=0s, the car is moving north, and its speed is 30.0 m/s but decreasing uniformly, so that after 5.0 s its angular speed will be 3/4 that it was when t=0s. The angular speed of the car when t=0s is , the angular speed 5.0 s lateris , the magnitude of the centripetal acceleration of the car when t=0s is , the magnitude ofthe centripetal acceleration of the car when t=5.00s is , the magnitude of the angular acceleration is , the magnitude ofthe tangential acceleration is .6. A projectile is launched at speed v 0 at an angle θ (withthe horizontal) from the bottom of a hill of c onstant slope asshown in Figure. The range of the projectile up the slope is .III) Calculate Following Problems:1. An object with mass m initially at rest is acted by a force F k 1i k 2tj , where k 1and k 2 are constants. Calculate the velocity of the object as a function of time.2. You are operating a radio-controlled model car on a vacant tennis court. Your position is the origin of coordinates, and the surface of the court lies in the xy-plane. The car, which we represent as a point, has x- and y-cooridnates that vary with time2 23 3 according to x=2.0m-(0.25m/s )t , y=(1.0m/s)t+(0.025m/s )t . a. Find the car's instantaneous velocity at t=2.0s.b. Find the instantaneous acceleration at t=4.0s.23. An object moves in the xy-plane. Its acceleration has components a x =2.50t and a y =9.00-1.40t. At t=0 it is at the origin and has velocity v 0 1.00i 7.00 j .Calculate the velocity and position vectors as functions of time.24. An automobile whose speed is increasing at a rate of 0.600 m/s travels along a circular road of radius 20.0 m. When the instantaneous speed of the automobile is 4.00 m/s, find (a) the tangential acceleration component, (b) the radial acceleration component, and (c) the magnitude and direction of the total acceleration.25. Heather in her Corvette accelerates at the rate of (3.00i -2.00 j ) m/s , while Jill in2her Jaguar accelerates at (1.00i +3.00 j ) m/s . They both start from rest at the originof an xy coordinate system. After 5.00 s, (a) what is Heather ' s speed with respect to Jill, (b) how far apart are they, and (c) what is Heather ' s acceler atoti oJnill ?re lativeChapter 2 Newton 's laws of motionI) Choose one correct answer among following choices1. In the SI, the base units (基本单位 ) for length, mass, time are ( )(A) meters, grams, seconds. (B) kilometers, kilograms, seconds.(C) centimeters, kilograms, seconds. (D) meters, kilograms, seconds.2. Which one of the following has the same d imension (量纲) as time ( )3. Which of the following quantities are independent (无关 ) of the choice of inertialx (A) (D) vx(B) (C)frame(惯性系 )?(A)v (B) P (C)F (D) W4.Suppose the net force F on an object is a nonzero constant. Which of the following could also be constant?A. Position.B. Speed.C. Velocity.D. Acceleration.5.An object moves with a constant acceleration a. Which of the following expression is also constant? ( )(A) dvdt(B)dvdt(C)d(v2)dt dt6. An object moving at constant velocity in an inertial frame must:A. have a net force on it.B. eventually stop due to gravity.C. not have any force of gravity on it.D. have zero net force on it.7. A heavy ball is suspended as shown. A quick jerk on the lower string will break that string but a slow pull on the lower string will break the upper string. The first result occurs because:A. the force is too small to move the ballB. action and reaction is operatingC. the ball has inertiaD. air friction holds the ball back8. A constant force of 8.0 N is exerted for 4.0 s on a16-kg object initially at rest. The change in speed of this object will be:A. 0.5m/sB. 2m/sC. 4m/sD. 8m/s9. A wedge rests on a frictionless horizontal table top. Anobject with mass m is tied to the frictionless incline of thewedge as shown in figure. The string is parallel to theincline. If the wedge accelerates to the left, when the objectleaves the incline, the magnitude of its acceleration isA. gsinθB. gcosθC. gtanθD. gcotθ10. A crane operator lowers a 16,000-N steel ball with a downward acceleration of 23m/s . The tension force of the cable is:A. 4900NB. 11, 000NC. 16, 000ND. 21, 000N 11. A 1-Npendulum bob is held at an angle θ from the vertical by a 2-Nhorizontal force F as shown. The tension in the string supportingthe pendulum bob (in newtons) is:A. cos θB. 2/ cos θC. 5D. 1212. A car moves horizontally with a constant acceleration of 3m/s . A ball is suspended by a string from the ceiling of the car. The ball does not swing, being at rest with respect to the car. What angle does the string make with the vertical?A. 17?B. 35?C. 52?D. 73?13. A 32-N force, parallel to the incline, is required to push a certain crate at constant velocity up a frictionless incline that is 30? above the horizontal. The mass of the crate is:A. 3.3kgB. 3.8kgC. 5.7kgD. 6.5kg II) Fill in the empty space with correct answer1. A2.5 kg system has an acceleration a (4i )m s2 . There are two forces acting on the system, and One of the forces is F1 (3i 6j)N . The other force is .2. Two masses, m1 and m2, hang over an ideal pulley and the system is free to move. The magnitude of the acceleration a of the system of two masses is Themagnitude of the tension in the cord is .3. You are swinging a mass m at speed v around on astring in circle of radius r whose plane is 1.00 m abovethe ground as shown in Figure. The string makes anangle θ with the vertical direction.(a) Apply Newton' s econd law to the horizontal andvertical direction to calculate theangle θ is .(b) If the angle θ = 47.4 a°nd the radius of the circle is1.50 m, the speed of the mass is .(c) If the mass is 1.50 kg, the magnitude of the tensionin the string is(d) The string breaks unexpectedly when the mass is movingexactly eastward. The location the mass will hit the ground is .III) Calculate Following Problems:1. A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge, and a horizontal force F isapplied to the wedge. What must be the magnitude of F if the block is toremain at a constant height above the table top?2. The mass of blocks A and B in Figure are 20.0kg and 10.0kg, respectively.The blocks are initially at rest on the floor and are connected by a masslessstring passing over a massless and frictionless pulley. An upward force F isapplied to the pulley. Find the accelerations a1 of block A and a2 of block Bwhen F is(a) 124N ; (b) 294N ; (c) 424N.3. An object is drop from rest. Find the function of speed with respect to timeand the terminal speed. Assuming that the drag force2is given by D = bv .4. A small bead can slide without friction on a circular hoop that is ina vertical plane and has a radius of 0.100m. The hoop rotates at aconstant rate of 4.00rev/s about a vertical diameter.(a) Find the angleβ at which the bead is in vertical equilibrium.(b) Is it possible for the bead to “ride” at the same elevation as thecenter of the hoop?(c) What will happen if the hoop rotates at 1.00rev/s.Chapter 3 Linear momentum, Conservation of momentumI)Choose one correct answer among following choices1.An object is moving in a circle at constant speedv . The magnitude of the rate of change of momentum of the object23A.is zero.B. is proportional to v.C. is proportional to v .D. is proportional to v .2.If the net force acting on a body is constant, what can we conclude about its momentum?A. The magnitude and/or the direction of P may change.B.The magnitude of P r remains fixed, but its direction may change.C.The direction of P remains fixed, but its magnitude may change.D.P remains fixed in both magnitude and direction.3.If I is the impulse of a particular force, what is dI /dt ?A. The momentumB. The change in momentumC.The forceD. The change in the force4. A variable force acts on an object from t i 0 to t f . The impulse of the force is zero. One can conclude thatA. r 0 and P 0.B. r 0 but possibly P 0.C. possibly r 0 but P 0.D. possibly r 0 and possibly P 0.5. A system of N particles is free from any external forces. Which of the following is true for the magnitude of the total momentum of the system?A. It must be zero.B. It could be non-zero, but it must be constant.C. It could be non-zero, and it might not be constant.D.The answer depends on the nature of the internal forces in thesystem.6.The x and y coordinates of the center of mass of the three-particle system shown below are:A. 0, 0B. 1.3m, 1.7mC. 1.4m, 1.9mD. 1.9m, 2.5m7.Block A, with a mass of 4 kg, is moving with a speed of 2.0m/swhile block B, with a mass of 8 kg, is moving in the oppositedirection with a speed of 3m/s. The center of mass ofthe two block-system is moving with a velocity of:A. 1.3m/s in the same direction as A.B.1.3m/s in the same direction as B.C.2.7m/s in the same direction as A.D.1.0m/s in the same direction as B.8. A large wedge with mass of 10kg rests on a horizontal frictionless surface, as shown. A block with a mass of 5.0kg starts from rest and slides down the inclined surface of the wedge, which is rough. At one instant the vertical component of the block 's velocity is 3.0m/s and the horizontal component is 6.0m/s. At that instant the velocity of the wedge is:A. 3.0m/s to the leftB. 3.0m/s to the rightC. 6.0m/s to the rightD. 6.0m/s to the left9. A 1.0-kg ball moving at 2.0m/s perpendicular to a wall rebounds from the wall at1.5m/s. The change in the momentum of the ball is:A. zeroB. 0.5N s· away from wallC. 0.5N s· toward wallD. 3.5N s· away from wallII)Fill in the empty space with correct answer1.Two objects, A and B, collide(碰撞). A has a mass of m A 2kg , and B has a mass of m B4kg. The velocities before the collision are v A (2i 3j)m/s and v B (4i 2j)m/s. After the collision, v A (3i 2 j ) m/s. The final velocity of Bv B m/s.2. A stream of water impinges on(撞击) a stationary “dished”turbine blade, as shown in Fig.8. The speed of the water is v, bothbefore and after it strikes the curved surface of the blade, and themass of water striking the blade per unit time is constant at thevalue dm/dt . The force exerted by the water on theblade is ______________ .o3. A 320g ball with a speed v of 6.22m/s strikes a wall at angle θ of 30.0o and then rebounds with the same speed and angle. It is in contact with the wall for 10.4 ms.(a)The impulse was experienced by the wall is .(b)The average force exerted by the ball on the wall is .4.The muzzle speed of a bullet can be determined using a device calleda ballistic pendulum, shown in Figure. A bullet of mass m moving atspeed v encounters a large mass M hanging vertically as a pendulum atrest. The mass M absorbs the bullet. The hanging mass (now consisting ofM + m) then swings to some height h above the initial position of thependulum as shown. The initial speed v′ of the pendulum (with theembedded bullet) after impact is . The muzzlespeedv of the bullet is .III)Calculate Following Problems:1. A block of mass m 1=1.60kg initially moving to the right with a speed of 4.00 m/s on a frictionless horizontal track collides with a spring attached to a second block of massm2=2.10kg initially moving to the left with a speed of 2.50 m/s, as shown in Figure. The spring constant is 600 N/m.(a) At the instant block 1 is moving to the right with a speed of 3.00 m/s, as in Figure, determine the velocity of block 2.(b) Determine the distance the spring is compressed at that instant.Chapter 4 Work and EnergyI) Choose one correct answer among following choices1. The work done by gravity during the descent of a projectile:A. is positiveB. is negativeC. is zeroD. depends for its sign on the direction of the y axis2. A particle has a constant kinetic energyE k . Which of the following quantities must also be constant? ( )(A) r (B) v (C) v (D) P3. A 0.2kg block slides (滑行) across a frictionless floor with a speed of 10m /s. Thenet work done on the block is ( )(A) -20J (B) -10J (C) 0J (D) 20J4. A 0.50kg object moves in a horizontal circular track with a radius of 2.5m. An external force of 3.0N, always tangent to the track, causes the object to speed up as it goesaround. The work done by the external force as the mass makes one revolution is:A. 24 JB. 47 JC. 59 JD. 94 J2. A3.00-kg steel ball strikes a wall with a speed of 10.0m/s at an angle of 60.0 with t °he surface. It bounces offwith the same speed and angle. If the ball is in contact withthe wall for 0.200 s, what is the average force exerted onthe ball by the wall?3. A small ball with mass m is released from rest at the top of a container which inside wall is semicircle-shapedand frictionless. The container with mass M and radius horizontal surface, as shown. When the ball slides to point B at the bottom of thecontainer, find the normal force exerted by the container on the ball.R rests on a frictionless5. A man pushes an 80-N crate a distance of 5.0m upward along a frictionless slope that makes an angle of 30? with the horizontal. His force is parallel to the slope. If the 2speed of the crate decreases at a rate of 1.5m,/ sthen the work done by the man is: A. -200 J B. 61 J C. 140 J D. 200 J6.When a certain rubber band is stretched a distance x, it exerts a restoring force of 2 magnitude F = ax+bx , where a and b are constants. The work done in stretching this rubber band from x = 0 to x = L is:2 3 2 2 3A. aL2 + bLx3B. aL + 2bL2C. a + 2bLD. aL2/2 +bL3/37.An ideal spring is hung vertically from the ceiling. When a 2.0-kg mass hangs at rest from it the spring is extended 6.0cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10cm. While the spring is being extended by the force, the work done by the spring is: A. -3.6J B. -3.3J C. 3.6 J D. 3.3J8.Two objects with masses of m1 and m2 have the same kinetic energy and are both moving to the right. The same constant force F is applied to the left to both masses. If m1 = 4m2, the ratio of the stopping distance of m1 to that of m2 is:A. 1:4B. 4:1C. 1:2D. 1:19.At time t = 0 a 2-kg particle has a velocity of (4m/s) i - (3m/s) j . At t = 3s its velocity is (2m/s) i + (3m/s) j . During this time the work done on it was:A. 4 JB. -4JC. -12 JD. -40 J10. A 2-kg block starts from rest on a rough inclined plane that makes an angle of 6o0 with the horizontal. The coefficient of kinetic friction is 0.25. As the block goes 2.0m down the plane, the mechanical energy of the Earth-block system changes by: A. 0 B. -9.8J C.9.8J D. - 4.9 JII)Fill in the empty space with correct answer1. A chain(链条) is held on a frictionless table with one-fourth ofits length hanging over the edge, as shown in figure. If the chainhas a lengthL and a massm , the work required to pull the hangingpart back on the table is J.2. A 0.1kg block is dropped from a height of 2m onto a spring offorce constant k = 2N/m, as shown. The maximum distance thespring will be compressed is ____________ m . (g=10m/2s)3. A single constant force F 3i 5j N acts on a4.00-kg particle.(a) If the particle moves from the origin to the point having the vector position r 2i 3j m, the work down by this force is .(b) If its speed at the origin is 4.00 m/s, the speed of the particle at r is .(c)The change in the potential energy of the system isIII)Calculate Following Problems:1. A 3.00-kg mass starts from rest and slides a distance d down africtionless 30.0 incline°. While sliding, it comes into contact withan unstressed spring of negligible mass, as shown. The mass slidesan additional 0.200 m as it is brought momentarily to rest bycompression of the spring (k=400N/m). Find the initial separation d between the mass and thespring.2.Two masses are connected by a light string passing over a light frictionless pulley as shown. The 5.00-kg mass is released from rest.(a)Determine the speed of the 3.00-kg mass just as the 5.00-kg mass hits the ground.(b)Find the maximum height to which the 3.00-kg mass rises.Chapter 5 Angular momentum and Rigid bodyI)Choose one correct answer among following choices1. A particle moves with position given by r 3ti 4j , where r is measured in meters when t is measured in seconds. For each of the following, consider only t > 0. The magnitude of the angular momentum of this particle about the origin is A. increasing in time. B. constant in time. C. decreasing in time. D. undefined2. A solid object is rotating freely without experiencing any external torques. In this caseA. Both the angular momentum and angular velocity have constant direction.B.The direction of angular momentum is constant but the direction of the angular velocity might not be constant.C.The direction of angular velocity is constant but the direction of the angular momentum might not be constant.D.Neither the angular momentum nor the angular velocity necessarily has a constant direction.3. A 2.0-kg block travels around a 0.50-m radius circle with an angular velocity of 12 rad/s. The magnitude of its angular momentum about the center of the circle is:2 2 2 2 2A. 6.0kg m·2/sB. 12 kg m·2/sC. 48 kg/m2· sD. 72 kg m·2/s24. A 6.0-kg particle moves to the right at 4.0m/s as shown. Themagnitude of its angular momentum about the point O is:22A. zeroB. 288 kg·m /sC. 144 kg·m /sD.24kg·m2/s5.Two objects are moving in the x, y plane as shown. Themagnitude of their total angular momentum (aboutthe origin O) is:A. zeroB. 6kg m·2/sC. 12kg m·2/sD. 30kg m·2/s6. A 2.0-kg block starts from rest on the positive x axis 3.0m from the origin and2thereafter has a constant acceleration given by a 4i 3j(m/s2). At the end of 2s itsangular momentum about the origin is:2 2 2A. 0B. (-36 kg ·2/sm) kC. (+48 kg m·2/s) kD. (-96 kg ·2/sm)k7.As a 2.0-kg block travels around a 0.50-m radius circle it has an angular speed of12rad/s. The circle is parallel to the xy plane and is centered on the z axis, a distance of 0.75m from the origin. The z component of the angular momentum around the origin is:2 2 2 2A. 6.0kg m·2/sB. 9.0kg m·2/sC. 11kg m·2/sD. 14kg m·2/sII)Fill in the empty space with correct answer1. A particle located at the position vector r (2i j) m is acted by a forceF (i 3j)N. The torque about the origin should be _______________ N m.2.The velocity of a m=2kg body moving in the xy plane is given by v (i 2j) m/s.Its position vector is r (2i j)m. Its angular momentum L about the origin shouldbe _____________ kg m2s.3.Two particles each of mass m and speed v, travel inopposite directions along parallel lines separated by a distanced. The total angular momentum of the system about any originis .4. A particle is located at r = (0.5m) i + (-0.3m) j + (0.8m) k . A constant force ofmagnitude 2N acts on the particle. When the force acts in the positive x direction, the components of the torque about the origin is , and when the force acts in the negative x direction, the components of the torque about the origin is .5. A uniform beam of length l is in a vertical position with its lower end on a rough surface that prevents this end from slipping. The beam topples. At the instant before impact with the floor, the angular speed of the beam about its fixed end is .6. A disk of mass m and radius R is free to turn about a fixed, horizontal axle. Thedisk has an ideal string wrapped around its periphery from which another mass m (equal to the mass of the disk) is suspended, as indicated in Figure. Themagnitude of the acceleration of the falling mass is , the magnitude of theangular acceleration of the disk is .III)Calculate Following Problems:21.The pulley has radius 0.160m and moment of inertia 0.480kg·m . The rope does not slip on the pulley rim. Use energy methods to calculate the speed of the 4.00-kg block just before it strikes the floor.2. A block with mass m slides down a surface inclined 30 to the horizontal. The coefficient of kinetic friction is μ. A string attached to the block is wrapped around a wheel on a fixed axis. The wheel has massm and radius R with respect to the axis of rotation. The string pulls without slipping.a) What is the acceleration of the block down the plane? b)What is the tension in the string?3. A wooden block of mass M resting on a frictionless horizontal surface is attachedto a rigid rod of length l and of negligible mass. The rod is pivotedat the other end. A bullet of mass m traveling parallel to thehorizontal surface and normal to the rod with speedv hits the blockand becomes embedded in it. What is the angular momentum ofthe bullet–block system?Chapter 9 Mechanic oscillationI)Choose one correct answer among following choices1. A particle on a spring executes simple harmonic motion. If the mass of the particle and the amplitude are both doubled then the period of oscillation will change by a factor ofA. 4.B. 8.C. 2.D. 22. A particle is in simple harmonic motion with amplitude A. At time t=0 it is at x=-A/2 and is moving in the negative direction, then the initial phase is:A. 2π3/ radB. 4π3/ radC. π radD. 3 π /2 rad3. A particle is in simple harmonic motion with period T. At time t = 0 it is at the equilibrium point. Of the following times, at which time is it furthest from the equilibrium point?A. 0.5TB. 0.7TC. TD. 1.4T4. A weight suspended from an ideal spring oscillates up and down with a period T. If the amplitude of the oscillation is doubled, the period will be:A. TB. 2TC. T/2D. 4T5.The displacement of an object oscillating on a spring is given by x(t) = A cos( ω t + φ). If the initial displacement is zero and the initial velocity is in the negative x direction, then the phasec onstant φ is:A. 0B. π /2 radC. π radD. 3 π/2 rad6.An object is undergoing simple harmonic motion with period T, amplitude A and1initial phase . Its graph of x versus t is:7.An object of mass m, oscillating on the end of a spring with spring constant k, has amplitude A. Its maximum speed is:A. A k /mB. A2k/mC. A m/ kD. Am/kII)Fill in the empty space with correct answer1. The total energy of a s imple harmonic oscillato(r谐振子) with amplitude A and force constant k is _________________ .2. Find the initial phases(初相) of the simple harmonic motion as shown in figure.12III)Calculate Following Problems:1. An object oscillates with simple harmonic motion along the x axis. Its displacement from the origin varies with time according to the equation: x (4.00m)cos( t 4 ). where t is in seconds and the angles in the parentheses are in radians.(a) Determine the amplitude, frequency, and period of the motion.(b) Calculate the velocity and acceleration of the object at any time t.(c)Determine the maximum speed and maximum acceleration of the object.2. A 50.0-g mass connected to a spring with a force constant of 35.0 N/m oscillates on a horizontal, frictionless surface with amplitude of 4.00 cm.Find (a) the total energy of the system and (b) the speed of the mass when the displacement is 1.00cm.Find (c) the kinetic energy and (d) the potential energy when the displacement is 3.00cm.Chapter 10 WavesI) Choose one correct answer among following choices1. Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave. The correct relationship is:A. f = 1/TB. f = v + TC. f = vTD. f = v/T2. Water waves in the sea are observed to have a wavelength of 300m and a frequency of0.07 Hz. The speed of these waves is:A. 0.00021m/sB. 2.1m/sC. 21m/sD. 210m/s3.The transverse wave shown is traveling from left to right in a medium. The direction of the instantaneous velocity of the medium at point P is:A. upward。