Physics Unit26: Special Theory of Relativity - 题库网 (tiku.one)

?作业考试练习?通用国际物理?Physics Unit26: Special Theory of Relativity

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习题练习：Physics Unit26: Special Theory of Relativity

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答题人: 匿名未登录开始时间: 23年05月01日 10:24 切换到: 整卷模式

1#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You are riding in a spaceship that has no windows, ran;i w 5u3,ynbyt5jl 8odios, or other means for you to observe or measure what is outside. You wish to determine if the ship is stoppeb58yyljw5, io3;n u tnd or moving at constant velocity. What should you do?

A. You can determine if the ship is moving by determining the apparent velocity of light.

B. You can determine if the ship is moving by checking your precision time piece. If it's running slow, the ship is moving.

C. You can determine if the ship is moving either by determining the apparent velocity of light or by checking your precision time piece. If it's running slow, the ship is moving.

D. You should give up because you have taken on an impossible task.

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2#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The Michelson-Morley experiment was designed to meay2qyp:93o l9 sl,n bakibbx+7sure

A. the relativistic mass of the electron.

B. the relativistic energy of the electron.

C. the velocity of the Earth relative to the ether.

D. the acceleration of gravity on the Earth's surface.

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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Michelson and Morley concluded from the results of their experiment txave8orff /(h)600 hrs,ysyzj -7 ezthat

A. the experiment was a failure since there was no detectable shift in the interference pattern.

B. the experiment was successful in not detecting a shift in the interference pattern.

C. the experiment was a failure since they detected a shift in the interference pattern.

D. the experiment was successful in detecting a shift in the interference pattern.

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4#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You can build an interferometer yourself 29j5ahmgnvt) yi 4o.j if you use the following components:

A. a light source, a detector screen, a partially silvered mirror, a flat mirror, and a glass plate.

B. a light source, a detector screen, two partially silvered mirrors, and a glass plate.

C. a light source, a detector screen, two partially silvered mirrors, a flat mirror, and a glass plate.

D. a light source, a detector screen, a partially silvered mirror, two flat mirrors, and a glass plate.

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5#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the relativity principi7;l:dd z 4oavle.

该题自我估分: (必填) (满分:1.0分)

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6#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the three unprovable assumptions of Galilsozrs8q38l 5kean-Newtonian relativity.

该题自我估分: (必填) (满分:1.0分)

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The theory of special relae9fmyz0u h; *btivity

A. is based on a complex mathematical analysis.

B. has not been verified by experiment.

C. does not agree with Newtonian mechanics.

D. does not agree with electromagnetic theory.

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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

One of Einstein's postulates in formulating the special theory of relativityaci4 fygc+* 5y was that the laws of physics are the samg*+ a45iy ycfce in reference frames that

A. accelerate.

B. move at constant velocity with respect to an inertial frame.

C. oscillate.

D. are stationary, but not in moving frames.

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9#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the first postulate of s0aiv5+kt aar1dlsa43pecial relativity.

该题自我估分: (必填) (满分:1.0分)

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10#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the second postulate of special r4.ye4pkan) 9vrs sp5sv i6-qt elativity.

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11#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If you were to measure your pulse rate while in a spaceship moving away frop(a d(jdvin w.r :+uu4m the Sun at a speed closevd.+(duripa (j w: n4u to the speed of light, you would find that it was

A. much faster than normal.

B. much slower than normal.

C. the same as it was here on Earth.

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12#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Relative to a stationary observer, a moving 4u(lq*pn(ncb0mkfi8 clock

A. always runs slower than normal.

B. always runs faster than normal.

C. keeps its normal time.

D. can do any of the above. It depends on the relative velocity between the observer and the clock.

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13#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The gamma factor is defi*z ,ippq8 sjdt )x-4snned as $\gamma = 1 / \sqrt{1- (v/c)^2}$, therefore gamma ($\gamma$)

A. can be zero.

B. can be any number less than or equal to one.

C. can be any number greater than or equal to one.

D. cannot equal one.

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14#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Suppose one twin takes a ridefz8 pja w3avfjc3/7p/ in a space ship traveling at a very high speed to a distant star and back again, while the other twin remains on Earth. The twin that remained on Earth predicts that thap3 3 zpfcj7v/f aw/8je astronaut twin is

A. younger.

B. the same age.

C. older.

D. cannot be determined from the given information

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15#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Relative to a stationary observer, a movi2.xk qmgu .m:ung object

A. appears shorter than normal.

B. appears longer than normal.

C. keeps its same length time.

D. can do any of the above. It depends on the relative velocity between the observer and the object.

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16#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object moves in a direction parallel to its length with a velocity thrq )p 2jn6; *aen2cmlvc3xe(h b61jefat approaches the velocity of ll* 62pr1beh)mxafj2 ce; jnecq63n(vight. The width of this object, as measured by a stationary observer,

A. approaches infinity.

B. approaches zero.

C. increases slightly.

D. does not change.

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17#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object moves in a di(wi/pjg*j)dl)bzz7(ie v.ez rection parallel to its length with a velocity that approaches the velocity of light.wg) j((ipvle.dz zjbe*) /z i7 The length of this object, as measured by a stationary observer,

A. approaches infinity.

B. approaches zero.

C. increases slightly.

D. does not change.

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18#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

As the speed of a particle approaches the speed of light,bf p5 zlv9o*o95 zi4bc the mass of the particlz*4 c5oipb 99bz5flov e

A. increases.

B. decreases.

C. remains the same.

D. approaches zero.

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19#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

As the speed of a particle approac1/1tio1nv/kje qz ik* hes the speed of light, the momentum of the particl1z1*/o /vtn eqk iki1je

A. increases.

B. decreases.

C. remains the same.

D. approaches zero.

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20#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spear is thrown by you at a very high speed2m,c d)gj- 9v1lghjt g. As it passes, you measure its length at one-half its normal length. From this measurement, you conclude that the moving s-gltj cmv ,gd12g) jh9pear's mass must be

A. one-half its rest mass.

B. twice its rest mass.

C. four times its rest mass.

D. none of the given answers

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21#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What happens to the kinetic energy of a speedy prot :d+f2.6-fkx,rl02bytd jo stxb wm4fon when its relativistic mass doubl:d , drw-2xs6xb fjt. km t20flyb4o+fes?

A. It doubles.

B. It more than doubles.

C. It less than doubles.

D. It must increase, but it is impossible to say by how much.

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22#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What happens to the total relativistic energy o2s+ q;c,dnqo ki ky:x.f a speedy proton when its relativy xn2q+,isdokkc;: q .istic mass doubles?

A. It doubles.

B. It more than doubles.

C. It less than doubles.

D. It must increase, but it is impossible to say by how much.

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23#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider a particle of mas *,dn+*6f, wt xly,ncp ji*wzzs $m$ and rest mass $m_0$. Which of the following is the correct expression for the kinetic energy of such a particle?

A. $\frac{1}{2} m_0 v^2$

B. $\frac{1}{2} m v^2$

C. $m c^2 - m_0 c^2$

D. $\frac{1}{2}(mc^2 - m_0 c^2)$

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24#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider two spaceships, each traveling at 0.50c in a straight line. Sh9o*zk yuj 0x6pip A is moving directly away from the Sun and ship B is approaching the Sun. The science officers on each ship measure the velocity of liguzp 0*jx6 kyo9ht coming from the Sun. What do they measure for this velocity?

A. Ship A measures it as less than c, and ship B measures it as greater than c.

B. Ship B measures it as less than c, and ship A measures it as greater than c.

C. On both ships it is measured to be less than c.

D. On both ships it is measured to be exactly c.

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25#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Which of the followingw 3p j-gqs3-uz depends on the observer's frame of reference?

A. the mass of the proton

B. the length of a meter stick

C. the half-life of a muon

D. all of the given answers

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26#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

As the velocity of your spaceship increases, you would obshwg-my (qd m9r5f 9ez-erve

A. that your precision clock runs slower than normal.

B. that the length of your spaceship has decreased.

C. that your mass has increased.

D. all of the given answers

E. none of the given answers

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27#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boat can travel 4.0 m/s in still water. Wvjs e1bac1 fl4g ;9gt-ith what speed, relative to the shore, does it move in a river th- j4;ftga1v1bc sl 9egat is flowing at 1.0 m/s if the boat is heading upstream?

A. 3.0 m/s

B. 4.1 m/s

C. 4.8 m/s

D. 5.0 m/s

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28#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boat can travel 4.0 m/s in still /dfjh47 ,)s;. an3lbhozg qm8b)kj d ewater. With what speed, relative to the shore/o;ngmd)4bz7j,q8s fjelhk. )h3 d b a, does it move in a river that is flowing at 1.0 m/s if the boat is heading downstream?

A. 3.0 m/s

B. 4.1 m/s

C. 4.8 m/s

D. 5.0 m/s

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29#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boat can travel 4.0 m/s in still water. With wha /yh(/yvip;k2 be5eojt speed, relative to the shore, does it move in a river that is flowing at 1.0 m/s if the boai y e/2( pe/bj;kyvho5t is heading straight across the river?

A. 3.0 m/s

B. 4.1 m/s

C. 4.8 m/s

D. 5.0 m/s

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30#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How fast should a moving clock travel if it is to be observed by a stationauvv 05/dyuucyecr*(gx;tv(ghv; 4 j/ry observer as running at one-halfcvr (; d05e//;uyuvj*yugtc x(v 4gvh its normal rate?

A. $0.50 \; c$

B. $0.65 \; c$

C. $0.78 \; c$

D. $0.87 \; c$

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31#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship takes a nonstop journey to a plan*rk ; h0l61xd7egc (2 wa+3mxaerfpgz et and returns in 10 hours according to a clock on the spa(wrx7 ahg z p* x6ga03+;melkr ce2fd1ceship. If the speed of the spaceship is 0.80c, how much time has elapsed on the Earth?

A. $3.2 \; h$

B. $7.0 \; h$

C. $15 \; h$

D. $17 \; h$

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32#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A set of twins, Andrea and Courtney, are initially 10 ys;d.d e98f, rg(g+4oclyudx qears old. While Courtney remains on Earth, Andrea rides on a space ship which travels away from Earth at a speed of 0.6c for five years (as measured by Courtney), then turns around and comesxcys (o+ qgg9;drd48d e.l ,fu back at 0.6c. When Andrea returns, Courtney is 20 years old. How old is Andrea upon her return?

A. $10 \; years$

B. $12 \; years$

C. $18 \; years$

D. $20 \; years$

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33#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

One 20-year-old twin brother takes a space trip with a speedw j6gcfyy-zp,4a jb,(z+yp7 a. se5qk of 0.80c for 30 years according to a clockefakw(p-ag4 j,7qzsc+jyp 5y yz 6 b,. on the spaceship. Upon returning to the Earth, what is his own age and the age of the Earth-based twin brother?

A. 20; 30

B. 30; 50

C. 50; 70

D. 70; 90

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34#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A meter stick is moving toward you with am wjgh tg7k/6* speed of 0.80c. What is its length?

A. zero

B. $0.40 \; m$

C. $0.60 \; m$

D. $1.0 \; m$

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35#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How fast would a rocket ship have to ma0gvqz3utg7 yr5;n du.5nd 3 xove to contract to half of its proper length (as observed by a stationary ob;0a 35gy uv7dq dxn5tzrug. 3nject)?

A. $0.50 \; c$

B. $0.65 \; c$

C. $0.78 \; c$

D. $0.87 \; c$

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36#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The length of a spaceship i, o .iy .m*x+r0jeuebqs 10 m when it is at rest. If the spaceship travels by you with a speed oqume0 . iry +.eojx*b,f 0.70c, what length does it appear to you?

A. $5.5 \; m$

B. $7.1 \; m$

C. $12 \; m$

D. $18 \; m$

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37#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The closest star to our cjn tka m(gwf2 e nvfj50,m-71solar system is Alpha Centauri, which is 4.30 light years away. A span2 e1kfcn 7tj0a mm,- vfwgj5(ceship with a constant speed of 0.800c relative to the Earth travels toward the star. What distance does the space ship travel according to a passenger on the ship?

A. $2.58 \; ly$

B. $3.52 \; ly$

C. $4.12 \; ly$

D. $4.30 \; ly$

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38#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The closest star to our solar systezsy58 3unx ww:av)r/u m is Alpha Centauri, which is 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the Earth travels toward the star. How much time would elapse on a clock on board th uwzxsr)53vua:8/w n ye spaceship?

A. $3.23 \; y$

B. $4.40 \; y$

C. $5.15 \; y$

D. $5.38 \; y$

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39#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The closest star to our solar system is Alpha Centav4d,.5yli 6re7 bq etsuri, which is 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the Earth travele6y l,b.d v7rs eiq45ts toward the star. How much time would elapse on a clock on the Earth?

A. $3.23 \; y$

B. $4.40 \; y$

C. $5.15 \; y$

D. $5.38 \; y$

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40#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An electron is traveling at 0.85c. What is its mass? (The rest mas/w,vxm2mw3 *tg o:. yiqr w9jxs is $9.11 \times 10^{-31} \; kg$.)

A. $1.4 \times 10^{-29} \; kg$

B. $7.2 \times 10^{-30} \; kg$

C. $1.7 \times 10^{-30} \; kg$

D. $2.4 \times 10^{-30} \; kg$

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41#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the speed of a proton if its mass is twice 8tb4jobahb mg;bz)w+ dol*) 6its rest mass?

A. $0.50 \; c$

B. $0.68 \; c$

C. $0.73 \; c$

D. $0.87 \; c$

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42#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If the velocity of your spaceship goes from 0.3 c to 0.6 c, then yoslnd 8mwb4r,,qcd v9/ur mass will increasvqw,rsd9m4 c,ld b8/ne by

A. 19%.

B. 38%.

C. 100%.

D. 200%.

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43#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the momentum in 1+5rkd/1 z ok9fr 6y(opqhgqj $kg \cdot m/s$ of a proton when it is moving with a speed of 0.60c?

A. $1.2 \times 10^{-19} \; kg \cdot m/s$

B. $1.5 \times 10^{-19} \; kg \cdot m/s$

C. $3.0 \times 10^{-19} \; kg \cdot m/s$

D. $3.8 \times 10^{-19} \; kg \cdot m/s$

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44#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

During a reaction, anqr-,1x 0ttaw -q io+en element loses $4.8 \times 10^{-28} \; kg$ of mass. How much energy (in Joules) is released?

A. $4.3 \times 10^{-11} \; J$

B. $1.4 \times 10^{-19} \; J$

C. $1.6 \times 10^{-36} \; J$

D. $5.3 \times 10^{-45} \; J$

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45#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

During a reaction, $1.7 \times 10^{-4} \; J$ of energy is released. What change of mass would cause this?

A. $5.1 \times 10^{-4} \; kg$

B. $1.5 \times 10^{-13} \; kg$

C. $4.8 \times 10^{-18} \; kg$

D. $1.9 \times 10^{-21} \; kg$

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46#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How much energy would be released if 2.0 kg of material was lost durin ,wk g,-bgena(g a reactionewnk(a-g,g ,b ?

A. $1.8 \times 10^{17} \; J$

B. $1.5 \times 10^{16} \; J$

C. $6.0 \times 10^{8} \; J$

D. $4.7 \times 10^{-8} \; J$

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47#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The amount of energy equivalento l6) nk*vk2 eh ffc zuz/*2v*.ctae8o to two kilogram of mass at rest is

A. $18 \times 10^{16} \; J$.

B. $3.0 \times 10^{8} \; J$.

C. $9.0 \times 10^{16} \; J$.

D. none of the given answers

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48#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The atomic bomb that was dropped on Nagasaki in4 tzy- rxl./va ux;pr3 1945 killed 140,000 people, helping to end World War II on the next day. It released energy equivalent to that of 20,000 tons of TNT e/t x.x-4a y3rr;uplvz xplosive. How much mass was converted to energy when this took place? (1000 tons of TNT = $4.3 \times 10^{12} \; J$) Incidentally, modern H-bombs have energy yields 1000 times as much!

A. $1 \; g$

B. $10 \; g$

C. $100 \; g$

D. $1 \; kg$

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49#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The kinetic energy of a proton is 80% of its total ener: 72 htumnjm (3ux0o3oz v3xgvgy. What is the speed of th 37 jmxuov2z:xvng0hmu 3t3( oe proton?

A. $0.02 \; c$

B. $0.87 \; c$

C. $0.98 \; c$

D. $1.0 \; c$

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50#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The kinetic energy of a proton is 80% of its total energy. Whzo2 do of to2h8* yh,h.v9sf;c r+ksr4at is the momentum ;vh+,dok oz228.r9 tcfo hfoy 4shrs *in $kg \cdot m/s$ of the proton?

A. $5.0 \times 10^{-19} \; kg \cdot m/s$

B. $2.5 \times 10^{-19} \; kg \cdot m/s$

C. $5.0 \times 10^{-18} \; kg \cdot m/s$

D. $2.5 \times 10^{-18} \; kg \cdot m/s$

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51#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What energy is released (inl-*h u3npkl-b MeV) during a reaction in which $1.67 \times 10^{-25} \; kg$ of material is converted to energy?

A. $5.0 \times 10^{-14} \; MeV$

B. $4.1 \times 10^{-7} \; MeV$

C. $3.1 \times 10^{-4} \; MeV$

D. $9.4 \times 10^{4} \; MeV$

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52#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How much mass is lost during a reactqa9,fr6zj (d cypz 0dsp;i/k -ion in which $1.7 \times 10^{8} \; MeV$ of energy is released?

A. $1.8 \times 10^{-8} \; kg$

B. $5.7 \times 10^{-9} \; kg$

C. $1.9 \times 10^{-17} \; kg$

D. $3.0 \times 10^{-22} \; kg$

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53#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the total energy of an electron moving with a speed of 0.9+2mtw26fupq r5c?

A. $2.6 \times 10^{-13} \; J$

B. $8.2 \times 10^{-14} \; J$

C. $1.1 \times 10^{-13} \; J$

D. $1.2 \times 10^{-14} \; J$

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54#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How many joules of energy are required to accelerate cig0 .,(z p+z.y4lvvgga sz:ione kilogram of mass from rest to a velocity of 0.866 c .gzgl.ai(zi,pvgv4 s0yc+: z ?

A. $1.8 \times 10^{17} \; J$

B. $9.0 \times 10^{16} \; J$

C. $3.0 \times 10^{3} \; J$

D. none of the given answers

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55#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

In a nuclear plant, w9t a(67l fay(h f6toabc.bg 5$1017 J$ of energy is available from mass conversion. How much mass was lost?

A. $0.1 \; kg$

B. $1 \; kg$

C. $10 \; kg$

D. $100 \; kg$

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56#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An electron is accelerated through 1ggd*;, ydw f2(tqya* n00 kV. By what factor has its mass increased with respew,gt(y2d g;y*f* an dqct to its rest mass?

A. 1.20

B. 1.55

C. 4.25

D. 8.00

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57#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You are in a rocket traveling away from the Sun at 1jx cky7ood twf(o2. )0.95c. You measure the speed of light f) (otd oycw2 fkx71o.jrom the Sun to be

A. 0.05c.

B. 0.95c.

C. 1.0c.

D. cannot be determined without knowing the frequency of the light

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58#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two spaceships are traveling thr,pe+m tr7wpji q3,u:mough space at 0.60 c relative to the Earth. If the ship +7pt wuj ,,mepm:3riqs are headed directly toward each other, what is their approach velocity, as measured by a person on either craft?

A. $1.2 \; c$

B. $c$

C. $0.60 \; c$

D. none of the given answers

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59#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A fast spaceship is traveling with a speed of 0.80c. How fast would light tza xlag q,+p2/1st0vyravel from the headlights of the ship rtys, /+plq0agaz1x2 velative to a stationary observer?

A. $0.20 \; c$

B. $0.80 \; c$

C. $1.0 \; c$

D. $1.8 \; c$

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60#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship moves away from the Earth wivp 5lys; 9voa/th a speed of 0.80c. The spaceship then fires a missile with a speed of 0.50c relative to the spaceship. What is the velocity of the missile measured by observers on the Earth if yl9v a/svo;p5the missile is fired away from the Earth?

A. $0.30 \; c$

B. $0.50 \; c$

C. $0.93 \; c$

D. $1.3 \; c$

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61#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship moves away fohkv+ pdxw7 2:qea lf 6hr*8i,rom the Earth with a speed of 0.80c. The spaceship then fires a missile with a speed of 0.50c relative to the spaceship. What is the velocity of the missile measured l ahi rv+,6:wh8dpx2*qkeof7by observers on the Earth if the missile is fired toward the Earth?

A. $0.30 \; c$

B. $0.50 \; c$

C. $0.93 \; c$

D. $1.3 \; c$

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总分:61分及格:36.6分时间:不限时

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