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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1#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

You are riding in a spaceship that cf5vsi0 e 9; gc) d.0;gildi+ t1rrkxqhas no windows, radios, or other means for you to observe org;c 00tde 1gs irk dq9rl) 5xi.f+vci; measure what is outside. You wish to determine if the ship 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 wasgthik7(-k4z 4bxjxb. cr 1 b;y designed to 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 results of cmc2v+ gznrs):x ap-)j2hm +ftheir 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 use the follow lp-mzxk53oh.ing 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 prinuopyy85rgk/*q f6je8 6ds mu5ciple.

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 ass9 zlgh80bm )zhxdh-.:zt+nw7.p e umiumptions of Galilean-Newtonian relativity.

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The theory of specialzcsniek/ a) r/yw*- 8nujn/d8 relativity

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 relativityqdaj,qn-- x7f- d14lp6wm kt l was that the laws of physics are the same in refer qpqj llx-6dtw-1 f4mank,-7dence 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 specialxj, ny9u5 94n okodo1d 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 relanb1bz6 u ocjr8(+p+ pztivity.

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 o:sxt:u ux9*r*: 8x6ycdyl twrate while in a spaceship moving away from the Sun at *: xxxuy8sl yuo9t:t6: wr*dca speed close 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 stationa peb6;ajkv35mry 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 deo wen8. v0 iy:zid54iifined 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 traveljjy1axh 6 ;ti 2e6k,vt0vrvi*dg db s .,c5pi;ing 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 the astronayvr*c,i 25;t pd0e.is6ivgaj1kt6bj,xvd h; ut 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 obsemf;:6, tldxruw pg 0o9/ i:r pkm+gic1rver, 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 dir/zj-5l km4qlo ection parallel to its length with a velocity that approaches the velocity of light. The width of this object, aslm jozq /-kl54 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 with8/+x w v (biq oz9binataf)t 7)nw7li0 a velocity that approaches the velocity of light. The length of this 7olxzi wntb(f +/b)9w a8 nv)iit q70aobject, 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, the ma96x m /hpzib-bss of the particlep-x6/ibh z9mb

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-2hs9iva8 cglyzm)eci p 9c9 d(:.ms o the speed of light, the momentum of the particlciv:o2.e9phslc- m9 9mz 8d iag yc()se

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. As it p bb6)djxoxbsrgwgo9 lf w9b* 8q626k2asses, you measure its length at one-half its normal length. From this measurement, you conclude that the moving splj6r 6 *9gbsdxwfowq)2 bkg82 6 bxb9oear'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 kinejcj/r moow/um6,pv.+:pxr ) d tic energy of a speedy proton when its relativistic mass u /+ wxomrmp)d .vcj/o pj,r:6doubles?

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 of a speedy li 0)ok3rs4srd *2rrqproton when its relativistic mass doubles?sr 0ros 4)3r2 rdq*ilk

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 mass: joxf,x (pvco;dw5.+fc ju;a $m$ 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 stra +bnl.trbkq ;29(1icazl 0pbxight line. Ship A is moving directly away from the Sun and ship B is approaching the Sun. The science oc0tzpnxibbkqa2lr 91+;l. b( fficers 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 ofcw/02ijgr)x pvod 45 d 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 obserbtrl0 ihj +6k.aal d: 4ro(i 3o-w:tgpve

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 speedw/wlb zn 4f(.) srz(ju, relative to the shore, does it mon)(bzz.lrfww 4sj/(u ve in a river that 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 water. With what speed, relative-zgs.fa;ndpu 88zax5q7fp 7 d to the shore, does it move in a river8aqpx8p7guzzd-.7f; fa s dn 5 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 4.07:l vy ii7e wv,9q1k4im*xnnr m/s in still water. With what speed, 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 9k1yi 7 iqn4,wi7e*vl :xrmvn 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 travz0k-iwk .od e)el if it is to be observed by a stationary observer -.eikw)0zok d as running at 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 in 10 hours acctwlbj41o-x4nz o4 d)mording to a clock on the spaceship. If the speed of the spaceship is 0.80c, how much time has ela4 box-zd44o l)w1 mjntpsed 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 years old. While Courtney uos)mr fc4-5z remains on Earth, Andrea rides on a space ship which travels away from Earth at a speed of 0.6c for five f c5)ur4zms-o 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 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 takesyzm3 :j25 iqhr 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 and the age of theizhrj:m3y5 q2 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 8d +e7r 8e8xp wogxrp0of 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 shiplx96o,epyk:xny z+re v bf6:+ have to move to contract to half of its proper length (as observed by a stationax nke6 y ,r olxp:f6++v9eybz:ry 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 the spaceshippln tui9y rp bi-k g8+p-o s9il6:p(7a travels by you with a speed of 0.70c, whattl p+a kilrbips- 9 8pu6ginp(97y :-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/ue ceo5/z;b m, which is 4.30 light years away. A spaceship with/obuze;ec m5/ 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 system isf,un 43a7y ma4t n *z9gs9egex 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 timea3fy 7anxt4ug egzm99,4*sen 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 isuthy .9l:q18z w9a tih 4.30 light years away. A spaceship with a constant speed of 1hyal. iqhtt9 uw 9:z80.800c 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. What is its mass? (The rest mas,apg/9 6uonmcs 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 mass6crt+8 zsfc, c 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 m rci; uj0mq1)dgg au3o5:-gsdg a1l;.3 c to 0.6 c, then your mass will increas g0g)r; ad;-m :1dags cm3iqoljgu 15ue 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 +m)dssm: w3q1p d qpre-.3gya$kg \cdot m/s$ 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 element loses9fn o w4bm)j+q $4.8 \times 10^{-28} \; kg$ 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 bewzxb 4(h qlxo1v56rpa4yst(qn 31f7p released if 2.0 kg of material was lost during a reaction?44w p6osn af5b1zpxlqy7q1(r x3 v h(t

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 mass at r-ypwt(/rg +jyqp*76 x pfa( jz kg4;9ccw+hkeest 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 140,000 people 3m/fl(c (gmhe, 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 /(cme(lgf hm 3took 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 pg*s 3svxk.p6a l3mj wi /2rx;proton is 80% of its total energy. What is the speed of the s lxspa2gkx. *wp33riv6/ mj ;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 )3m: 9z kq;sy( dckdmpa proton is 80% of its total energy. What is the momentumm; d9 c 3)zkyq:k(pdms 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 relea (v/c/oz.ii32ef lguvsed (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 reactionvp goyck ev1h +4/-p1t 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 m* 2hbh t oy)9(5hddcszpa48 tkoving 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 accek qfmnz;-3t/o2 e4l:qrq6d+m z ow0iw lerate one kilogram of mass from rest to a veloci4z0t/wo: iwq mn3 -efzrdm;+6ql2koq ty 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, d*-/tta 6dljz$1017 J$ 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 1000t.q y5: a +atihldu(i kV. By what factor has its mass increased with tq.+la dh50ya :ui(tirespect 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 0.95c. You measure thl6g 58gwa2 -k4tjhvb; ecr0x ve speed of light fr;c v4b5law x06tk 2g-ejv8hgrom 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 at 0.60 c relative to themj,wz;h catm )9u)d)x Earth. If the ships are headed directly toward each other, what is their approach w ) 9)z) ;muaxdctjhm,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 trav rble8h 2k6n)feling with a speed of 0.80c. How fast would light travel from the headli)nbe k6l 8rh2fghts of the ship relative 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 m6k 6*pix8gey5d zpp)f1nkr; 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 the missile is fired away frfg* m y1 ;p)dip5k8prk6nzx6eom 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 epc6 -.:l1mr, 2.noa xxfnseofrom the Earth with a speed of 0.80c. The spaceship then fi ms.1xp,n26-xlfcra ne:e. oores 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 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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