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 spacgja3 **h0yd hfeship that has no windows, radios, or other means for you to observe or measure what is outside. You wish to determine if the s*da3*jy0hgfh hip is stopped 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 sc9zn2h;6n+*0wiu +z fl mfkl measure

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 resultsln1 )jsefwm67n9 n 5gu of their experiment that

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 interferometeao1,j8y0iivau3 xo2c)y)mrz r yourself 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 prig/ , igy0j+l *rm.mmv j4zk1mufd(ru1nciple.

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 assuav+w(4 0xp e lqj*r;gkmptions of Galilean-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 relativi3rlagxh( 5vynp3466kx0 m h /sg 1qmklty

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 c z 7p,sr/on(tof relativity was that the laws of physics arep snz7(c,ro/t the same 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 special relativity. ml5h /q,xpr3d

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 rez exj (0lz(a9dlativity.

该题自我估分: (必填) (满分:1.0分)

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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 be 5cj6b+,-my /zdw cvin a spaceship moving away from the Sun at a speed close to the speed of / b5vzde-,bmc6wc+yjlight, 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 ks;pal+ cn;.z observer, a moving 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 defiu;eg p7nuw;u3 ned 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 ride in a space ship traveling at a ver wms ruy3ggj2se1 m;:(y high speed to a distant star and back again, while the omgrju (yeg:;2s 3ms1w ther twin remains on Earth. The twin that remained on Earth predicts that the 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 omuhzt-9n ly0k)-dv8y9t xh .nbserver, a moving 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 parallele.6 7 hon44h)nnoch ia to its length with a velocity that approaches the velocity of light. The width of this object, as e4 o)annhoh ic4h67n. 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 direction parallel to its ler ;ac kcitt1,1ngth with a velocity that approaches the velocity of light. The length of t,at 11t;ccik rhis 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 approa0vr4g+laq9 b r:dyk s1 e-rz gqj1im23ches the speed of light, the mass of the particlegekrq l m rqzy-div: 1ra+s0g 2b4139j

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 approaches the speed of light, the momentum of the pa 6q i9ckbia6l+rticlqiabk +i6c 9l6e

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 speed kp+bt5-f)u mt74yb6 cezl s, *n w-+avm*dliq. As it passes, you measure its length at one-half its normal length. From this measurement, you conclude that the moving spear's mass mu-* d54l t +s,pm*kb-yzta efq+n)iu76 bwmlvcst 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 proton when its r:b8yif) ij,pq85w xtf elativistic mass doubles:w5,tjiyxb) fi8pq 8 f?

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 relat /-ff hbl0qx3q/ja eesg /c9s1ivistic energy of a speedy proton when its relativih-1e/lqsa0bf9s3c//q gj xfe stic 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 mal6w,c:a qmq-y(p 3x qdss $m$ 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. Ship A l(2o9h ejk/)iop *geu/y tk6+ ful/vs is moving directly away from the Sun and ship B is app uo2elov)ul/h/p* +(t fk6 i/kge9 yjsroaching the Sun. The science officers on each ship measure the velocity of light 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 following depends on the observer's f,ty7d8n2x4x xj c6ojm r ba5u3rame 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, lr pk9qg3 b(q: :s/q gfsnkw35you would observe

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. With what speed, relatit)u 4p/l atc4tve to the shore, does it move in a river that is flowing at 1.0 m/s if the boat )tt /4lcta4pu 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 water. With what +be 05bo bprz2speed, relative to the shore, does it move in a river that is flowing at 1.0 m/s if the boat is heading downstreamz0 2b5b+rb eop?

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 what speed,bdoxn2i ax108ds2v uu)n6+ gm relative to the shore, does it move in a river that is flowing at 1.0 m/s if the boat is heading straight across the rdngoxmv6 )a+uu 2x0d8n2s 1ibiver?

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 clojq+3rrr.kxo9qcn3a0/ 8 6dlqx3kyv ick travel if it is to be observed by a stationary observer as running at one-half its normal ratexqx rl0vr.k8q nj3 +3/9ryciq okd63a?

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 planet and returns i9xs5 jccn .y3brgw08e n 10 hours according to a clock on cnx 3.cyg5e sw9b j08rthe spaceship. 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 Courtn t9gd/a /rnm0ro( x5pbey, are initially 10 years 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 comes back at 0.6c. When Andrea returns, Courtney is 20 years old. How old is Andrea upo/m9xg aon/t 5db(rr0p n 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 :vbp)vv1m n. lczn6x ;takes a space trip with a speed of 0.80c for 30 years according to a clobpv1n:mvc. 6) ;znxlvck 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 a ,9yp(pmkasi*ma :cxxjq/) -hspeed 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 move to co 5 ge6 gu4 s6((fp;2gheqhyzjzntract to half of its proper length (as obsg hh (spz(6 efqzgg2;j5y6 e4uerved by a stationary object)?

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 is 10 m when it is at rest. 1i2zg d,n h0dlIf the spaceship travels by you with a speed of 0.70c, what length does it appear tnd,0l zdg12hi o 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 solar system is 5 dgjj+h/p6qib9b+ 3a w 5luzeAlpha Centauri, which is 4.30 light years away.z3aj+l d qwb 5b/+p5huie g6j9 A spaceship 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 systemd+c 6b i2w/l42lru p.c9awnai is Alpha Centauri, which is 4.30 light years away. A spaceship with a constant speed of 0.800c relative to twl cacl.u9ai 46+/2r w pb2ndihe Earth travels toward the star. How much time would elapse on a clock on board the 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 Centauri, which is 4.30 ligh bj31 w d5;spfpdgey vxb-s)l,6q2) ixt years away. A spaceship with a constant speed of 0;b1g2sp6 -sf 3l )xw5pbie, jy)dqv dx.800c relative to the Earth travels 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. Wha)nuvixq)a4jnrjd+ 5-nxm*a. t is its mass? (The rest mass 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 ftftt/g1h j,4f5f2yzewzm* 5 its 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 your mass wmt11k47yy+u8d w,z vcgh s5 zbill increase + 4u hvb7z wzdc18sy5g1ty,kmby

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 iy5r0mv5o.3wqd:)b t r qxk0v7dnti+c n $kg \cdot m/s$ 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, an elemen rszy, njt 78au2bb92jt 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 woul(5j- b /t5cunn ijim5i3da .rmbn,9wjd be released if 2.0 kg of material was lost during a reactim i ij3bru/j9 n5w c (5m.-njtinbd,5aon?

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 equivalent to twooi 9zemfb4e )uh9 ,dr* 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 in 1945 killed 140,8mxh:d(, 1,z frlodii/nvex,000 people, helping to end World War II on the next day. It released energy equivalent to that of 20,000 tons of TNT explosive. How much mass was converted to energy when this toxnx/(if ,zi ,: hemd,v 18rdlook 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 e,)ywc*eq (n punergy. What is the speed of the prot)yuc n(q* ew,pon?

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 enerv ;vd 47dmj2yp oc)mp* lj4js.gy. What is the momentum in ;sjdc mm4j4v lvp) .j27 dy*po$kg \cdot m/s$ 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 (in MeV) during a reactim7v+d76y td)9 sa1xpw xm1ekv on 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 reaction iqv0uct2j dwe8frxb-/ k*x;in:.sd9n n 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 elrw6g fec5wyu 38 uk*.iectron moving with a speed of 0.95c?

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 one kilogram of mv;8al, 6;a elvt-oao5kjvjy 0 ass from rest to a velocity 80v- ;;5joeav6,l atk lvjoya of 0.866 c?

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, ha1,cs dx, 5a7agji;e$1017 J$ 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 100 kV. By what factor has its mass inc; nng 1*ly1y:3aohxaqdj( ;pp reased witp1j*1 yxa3yph lndoaq;(;:ngh respect 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 awt+a ; bi(hyk:t 0.95c. You measure the speed of light frowyi akb+;:ht(m 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 through space asbwa66ma2b:w t 0.60 c relative to the Earth. If the ships are headed directly toward each other,bw 6wm :2a6asb 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 o*lr:1g whlq:-g eh dehxx;p./f 0.80c. How fast would light travel from the headlights of the ship relative to a stati/xh:xe l g hwrlpg.;hq-*1e d:onary 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 lcbb jq0/3 7de;sw6fqfrom 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 velo/dcs0e;fb wbjl3 7 q6qcity of the missile measured by observers on the Earth if the 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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A spaceship moves away from the Earth odcssw-a .f ;r04b4 wkwith 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 odwo ssa0.4b -cwr;4kff the missile measured by 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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