Physics Unit26: Special Theory of Relativity - 51fly国际课程 (51fly.win)

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?作业考试练习?国际高中通用物理?Physics Unit26: Special Theory of Relativity

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习题练习：Physics Unit26: Special Theory of Relativity

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作者: physics 总分: 61分得分: _____________

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 wiac2xka))m6 lm ndows, radios, or other means for you to observe or measure what is outside. You wish to determine if the ship is stopped or moving at con a)ma6kc)2x lmstant 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 measure yw8qx 1jb+by, e *zrci(/we;c*ls5ra

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 ti 5-vvq n,,unfdh+3q xhe results 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 interferometer yourself if you) bursfn78z6o.kv ; h4ix aceng3 81 skwic2v. 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 prinsd rqz, p)aw+)1zb7hiciple.

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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 of57by+s wv ;pbu 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 relativig.fjb-/oza/hjnrsei- 3euw(x 2w+ 7 n ty

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 ineioll3y* s. p9tgx3op,wqy .pows+9 5 formulating the special theory of relativity was that the laws of pe o3wsp3*tsy.,po9igo+x5l9 pq wy.lhysics are 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 postula vt ei6pj)47zate of special 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 relativitykt(*se + +ss:koby ev6y3k 37usg 3aed.

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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 yg (n;am3at49 r3fbbwdour pulse rate while in a spaceship moving away from the Sun at a speed close to fnb(9 w3g 4 a;dtb3armthe 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 mo/fjxe zfe m))(7n,,rs m: dflzving 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 dhva2r lzisw o+(t77 0zefined 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 travelinyh8d;jp2rlnj 7o,bt; g at a very high speed to a distant star and back again, while the other ;87 pthbod;,y2 rjjn ltwin 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 observer, a m8ek3go 6vya p vjw4nv-)a9g 7voving 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 uvmmigsdm) 1 fqgj1 + 5-ugw)*. *qpala velocity that approaches the velocity of lv *mwul1spjmim 5gu+a- 1dfg) *.qg)qight. 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 direction parallel to its length with a velocityimbg )(uf gtm /s(7sd5 that approaches the velocity of light. The length of this 5mb7st(/ms )gd ufig(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, tfegiqn)5l -(7ythg 5spq9 c ,yhe mass of the particl)gtqh5pcn7fq ,s(59iyg ly e-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 parcgc 20;jqe09 s f *xr+am6mqxmticle approaches the speed of light, the momentum of the particlegxcc60sj;faq2* rm +0 mqem x9

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 hig lw;fa:ke;e2w h speed. As it passes, you measure its length at one-half its normal length. From this measurement, you conclude that the moving spea;e: wkwa l2f;er'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 proton when its1n5e;5a mu/ bam-dec8 mn k, zild4y5i relativistic mass doublesaucimlbme5 k/ 5e5 4;d8zym1a d-nin,?

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 relat8uanv-vtc)6 .g wn1 shi/*iavivistic energy of a speedy proton when its relativistic mass doubleh )itw1.v/cva * gnsuav6 -n8is?

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 mar; s6hhj - 1l6)vwugryss $m$ 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 is 7 dr9v.an5ieap6n l/ smoving directly away from the Sun and ship B is approaching the Sun. The science offiaair 7nn .l p/965vdsecers 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 frame a69q, coi)pz:lm(uch 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 yk01rg mp)9(7e/ycitsc y h v z16mmqs5our spaceship increases, you 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, relative to tw+3/iwfv jd277dhqq bhe shore, does it move in a river that is flowing at 1.0 m/s if the boat is heading upstre73vw dwq q+2ibjdf7h /am?

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. jnqk 9.4wz r 6amm-hb1With what speed, relative to the shore, does it move in a river that is flowing at 1.0 m/bq -6 .kjmwnm z194rhas 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 what spe)d2b6 t4 x akn5zcfsb.ed, relative to the shore, does it move in a river that is flowing at 1.0 m/s if the boat is heading sd) 2tx6za. 5 fncbk4bstraight 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 dpg;yum2) 8 fpbe observed by a stationary observer as running a8pp2ymdu; )fgt one-half 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 planet and returns r++ls nnb(egztfxi(hq8f 6 4-in 10 hours according to a clock on the spaceship. If the speed of the spaceship is 0.80c, how much4 qgl+6 (sfebnx iz-htn+fr8( 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 io uv v61mnecqv57af 6og)-ie;nitially 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 iuv7;o)gf6 vove1cq-n i5m ea6 s 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 oih v2p/u:(ihbrother takes a space trip with a speed of 0.80c for 30 years according to a clock on the spaceship. Upon returning to the Earth, what is his own age a:v/i uphh o2(ind 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 speed of 0.80c. What is its lengto9ks+e0ufkk -5 fzr0 gh?

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 contun2. y7fx z8haract to half of its proper length (78y.x zah fn2uas observed 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. If t dib.qr-yg3vy 5f*)cy.2 pmof he spaceship travels by you with a speed of 0.70c, what3.b-dy2fvcyq5gfy*r p)i m o. 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 solar system is Alpha Centauri, which is 4.30 light5p uaf5dv7px:/jod.;lgl3ush en 8 k( years away. A space g( 7f ho5vp:ulnd.;dxa5lu3pj /k8esship 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 s amxqb k-i;6bw1 ni-i:olar system 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 i61;mb-a: iw- qki xnbthe 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 lip e4ae//efsj 8ght years away. A spaceship with a constant speed of 0.800c relative to the Earth travels toward the star. fap/8e s/ 4eejHow 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 0.85cxtqm qg9706vx(:fxsk n3sa)-np ns *y. What 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 p lc2otu3y 6a*a proton if its mass is twice 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 yg bxc1 coh66i,l(a al.our mass will increase bylcl oig(a6c h1x,a6 .b

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 momentumv+t.x fl4-ge/i g8:fdbaw g yr0e2c x3 in $kg \cdot m/s$ 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, annae f)gve-11wg j-2 re 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 1 mf u-q i;jd2p9by:xvlost during a reactio ;pj-1yv b :2qifxum9dn?

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 two kilogram of ma ,.*lh6(xahx0ejz+yp/uc )d jgz(ksdss 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 l +tkfy/c ek18in 1945 killed 140,000 people, helping to end World War II on the next day. I+kel8k1 t/ cfyt released energy equivalent to that of 20,000 tons of TNT explosive. 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 energy. What is tn6efzf(- nt 4ehe speed of the4 te -f6ezn(fn 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. What is the mom psz- ee4gvf),v*zw g(entum i-zg4,(w)f* pezg esvv n $kg \cdot m/s$ 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 e1pzd; h4n7x3*cbybp (in 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 reaction in whic xvn8565ay7iwg baf8 -0 mxuz 4*duvgch $1.7 \times 10^{8} \; MeV$ 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 avt5 0sdk.k29 asahyy )n electron 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 mascf2bjbk zk;91 s from rest to a velocity of 0.8j;k1kb2 9fc bz66 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, nyq, :+w)oqt+fb7n0r fef ,lll+i1b q$1017 J$ 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. 2b,i3 h he,aio4w m/kh ;y5 khw8inwl5 By what factor has its mass increased with respect to its rest hiwlhak m,,yo iwk e 5 bh/;i5842hnw3mass?

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 0.95c. You measure the sfgn)8b)m r9 rgks,ni1peed of light from the Sun toggfk 9 ribmn,) srn8)1 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 at 04wt1pf,vjoq* k6nh8dck 6gr ) .60 c relative to the Earth. If the ships are headed directly toward each other, what is their approach velocity, as nv*6tfwh rjpkkq16g4 ,8)ocdmeasured 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 fata5yljk 0md5x9pr8 e9st would light travel from the headlights of the ship relkl9 5 dmte9a50x8r jypative 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 with a speed of 0.80c. Trjyr: 8 +7nr7 muqpr,e7kh qw1he spaceship then fires a missile with a speed of 0.50c relativ7q+rj7u wr h71rekm, q yrnp8:e to the spaceship. What is the velocity 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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61#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A spaceship moves away from kr5 )cjnxk;8x,ky;m3oy e k9d)yh *mythe Earth with a speed of 0.80c. The spaceship then fires a missile with a ;k,e5ky k98)y)jnyh3ro*kydx cx ;m mspeed of 0.50c relative to the spaceship. What is the velocity of 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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