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PRACTICE：Physics Unit26: Special Theory of Relativity

本Practice来源于https://webassign.org，是在线Practice的打印版，您也可以访问本平台网站(https://webassign.org/)直接在线完成(注册并登录账号后在首页左侧输入试卷号 325 即可在线作答)，，作答电子化后可随时回放，查看每题答案与详细解析，搜藏保存任意题目；教师使用本平台可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力。本试卷的直接作答链接 https://webassign.org/test325.html
Author: physics Total Marks: 61 mks Marks Awarded: _____________

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1#

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You are riding in a spaceship that has no windows, radios, or other means ffqc63uu 4kmo9*)p/vea wxt: oor you to observw4vaux)/ f:3q oot c e*mk9up6e or 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The Michelson-Morley expesfudc: sev56cs)87mv2e y9 q criment was 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Michelson and Morley concluded from the results of tvjk lpj 2vm8wuy0fb43l ;8zl7heir 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

You can build an interferometer yourself ifgztl/;yq 2b(rwlo .pycu x43. 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#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

State the relativity principle) (z1uq jafc 8fbl;z1k.

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6#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

State the three unprovable assumptions of Galilvk d/:oy:mz9uml: ; bjean-Newtonian relativity.

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7#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The theory of special rela4hw-u wuge o+ (xkl4:gtivity

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

One of Einstein's postulates in for9j:, nujvezi8- e*hd mmulating the special theory of relativity was that the laws of physics are the same in referenc9m zd8:h,inej eujv-*e 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#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

State the first postulate of special relativizo2dcb45 8mjo ty.

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10#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

State the second postulazb-gx r; bbro+ .ryu0;te of special relativity.

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11#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

If you were to measure your pula+u 6dc+eaq5r-lcek .se rate while in a spaceship moving away from the Sun at a speed close to the speed of uqaelk5dca .6 -+cre+ 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Relative to a stationajf1t6,lvym) dmps( 5zry 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The gamma factor is defined as 6enuu8w3x ;rl$\gamma = 1 / \sqrt{1- (v/c)^2}$, 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Suppose one twin takes a ride in a space ship traveling at a ver1:kgioi + 0sdj*pp:uez h**mvy high speed to a distant star and back again, while the other twin remo+zp:ki ** hgi1* upv:me sjd0ains 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Relative to a stationary observer, a movingx9jsg *hyc, (m 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An object moves in a di(pid0r2l-fg orection parallel to its length with a velocity that approaches the velocity of light. The width of this object, as mea ( op-0grdfl2isured by a stationary observer,

A. approaches infinity.

B. approaches zero.

C. increases slightly.

D. does not change.

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17#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An object moves in a direction parallel to its length with a velocity that a:rcwn)g d ,)dzpproaches the velocity of light. The length of this object, as measured by a stn :dg ,wd))rczationary observer,

A. approaches infinity.

B. approaches zero.

C. increases slightly.

D. does not change.

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18#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

As the speed of a particle approaches the speed of lighupy7 mdr,h0)t .a1atyt, the mass of the particled,hpt 0 t1.ya7ar )muy

A. increases.

B. decreases.

C. remains the same.

D. approaches zero.

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19#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

As the speed of a particle approaches the speed of light,st*qg zk 99l+o the momentum of the parti9+gq tsl*k9 ozcle

A. increases.

B. decreases.

C. remains the same.

D. approaches zero.

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20#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A spear is thrown by yo ml5yx;j(p;b.w .o*u5szn)bighq qx0u at a very high speed. As it passes, you measure its length ;pb z.w*hj u(x)gq.o; xlbqs55yni0m at one-half its normal length. From this measurement, you conclude that the moving spear'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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What happens to the kinetic ene4. n2kh ab0gdzn:ou0 argy of a speedy proton when its relativistic mass doub hn.k zuondaab:0g0 24les?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What happens to the total relativistic energy of a speedy proton when its r1a4dy7.,.m devhe yt gelativistic mas 7.4, dyyhvemd 1tage.s 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Consider a particle of mass ja*d 5eobn8 ;.gnilb6 $m$ 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Consider two spacesha. 2c/ k5lhvq,qg2r m-els2vrips, each traveling at 0.50c in a straight line. Ship A is moving directly aqs2.qlvv5r-h l,r m2/ag2ck e way from the Sun and ship B is approaching 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Which of the following15b+yox je-b1-vzu p w 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

As the velocity of your spaceship increases, you would observt4no.4z:0dss+owkh k - yevi7e

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A boat can travel 4.0 m/s in still water. With what speed, relp6(3 m8uvxs8 fz/phifw w/u/ 1bvtp9tative to the shore, does it move in a river p8w t1ft3x /9zp/v/ 6s bihpum(wfv 8uthat 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A boat can travel 4.0 m/s in still cvus+wj:5 ak0 2kbm.nwater. With what speed, relative to the shore, does it move in a river that is f u k:s.bkjnm2c0 vw5a+lowing 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A boat can travel 4.0 m/s in still water. With what speed, relaxoj zni*3l a .n1g 2xb).7 mjoo0gy6wrtive to the shore, does it move in a river that is flowing at 1.0 m/s if the bjga*7nj woo20. n)3xxr1y blm.o zg6ioat 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How fast should a moving clock travel if it is to hj4ebds5gf wp;n.+8p be observed by a stationary observer as running at one-half its norm ws8n .4;dj5 fbp+pehgal rate?

A. $0.50 \; c$

B. $0.65 \; c$

C. $0.78 \; c$

D. $0.87 \; c$

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31#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A spaceship takes a nonstop journey to a planet and returns in 10sv5*2:er he av hours according to a clock on the spaceship. If the speed of the spaceship is 0.80c, how much time has ela*rv sh:eea2 v5psed on the Earth?

A. $3.2 \; h$

B. $7.0 \; h$

C. $15 \; h$

D. $17 \; h$

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32#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A set of twins, Andrea and Courtney, are initially 10 year51pwlv gko 97vvp(/vos 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 pl( vgvk7/ow1v 5 9ovpback 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

One 20-year-old twin brother trdi2:2 za:xy gakes a space trip with a speed of 0.80c for 30 years according to a clod2:zg 2xyr a:ick 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A meter stick is moving toward you with a speedw53r0p1ajo:a nt)9 /o bn yjve 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How fast would a rocket ship have to move to contract to half;kq/3gq1s7 4t kon9wlhqrsh9u+z yd7 of its proper length (as ob gkwt;lhy4uqz97o+19 3rks / nqqdh7sserved 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The length of a spacesu2tzm 5d6: 7 s,wdvohzhip is 10 m when it is at rest. If the spaceship travels by you with a speed of 0.70c, what length does it appearv s6,mht z7ow z5u:2dd to you?

A. $5.5 \; m$

B. $7.1 \; m$

C. $12 \; m$

D. $18 \; m$

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37#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The closest star to our solar system is Alpha Centauri, which is 4.30 lighrx*rg,nyw ,m *t years away. A spaceship with a constant speed of 0.800c relative to the Earth travels toward the star. What distance does thegn,r w*,mry* x 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The closest star to our solar system )9z5 *ftnj kb g4yog:kis Alpha Centauri, which is 4.30 light years aw4kf)gn*zt 5bg:kjyo9ay. 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 the spaceship?

A. $3.23 \; y$

B. $4.40 \; y$

C. $5.15 \; y$

D. $5.38 \; y$

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39#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The closest star to our solar systfy w4j9z-tn4bem 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 yn4bf4-z9wtja 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An electron is traveling at 0.85c. What is its mass? (The rest uff* . idy4g1hmass 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the speed of a proton if its mass ito6 d;f182tegjms t8ws 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

If the velocity of your spaceship goes from 0.3 c to 0.6 c, then your mass wilt )f1nuosrc) ;s(oci;l increase by sn1 ict ou)s(cr;;)fo

A. 19%.

B. 38%.

C. 100%.

D. 200%.

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43#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the momentum im3w*l hbq40ei )ep q30vm*ili 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

During a reaction, an elequy/5,2:o6yshiup f lment 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How much energy would be released if 2.0 kg ofjn7a9 afcva6)jb9n.)j xvl/w material was lost during a reactionnaaf/j .x b7v )v969jjnaw )cl?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The amount of energy equivalent to two kilogram of mass arn+c.58 w8dknm;o k1g/dpjk chgo e -j,77faot 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The atomic bomb that was dropped on Nagasaki in 1945 k-u:ygjx6f(u i8dvy (gilled 140,000 people, helping to end World War II on the next day. It released energy equivale(xgy-:8 duiyu gf6( jvnt 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The kinetic energy of a proton is 80% of its total energy. What is the spee nv-0 hkj,*/vlmg ay-zd of thevvy*jmk h,-0/zn lga - proton?

A. $0.02 \; c$

B. $0.87 \; c$

C. $0.98 \; c$

D. $1.0 \; c$

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50#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The kinetic energy of a proton is 80% of its:9c)eu nc hq/v8z3qap total energy. What is the momentum inhn/ c:z )38uq9eqvacp $kg \cdot m/s$ 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What energy is releaseddka2wsp 25* se1pd5rc (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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How much mass is lost during a reaction bn85 yal 9c)pe(jsr- l:) zuziin 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the total enkrr s x( 5i0d4*yb6a8e xsoa0 .euzh/hergy of an 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How many joules of energy are required to accelerate one kilogram of m*euhmc2f :;fm;1u nj uass from rest to eumunuj:ch f;f2* m1; a velocity 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

In a nuclear plant, *4n:(f0orb ez4 /vwql wb mctv 2hj r6.pv2wn-$1017$ 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An electron is accelyade8 a0ci- l6erated through 100 kV. By what factor has its mass increased with re yae6ad8i-cl 0spect to its rest mass?

A. 1.20

B. 1.55

C. 4.25

D. 8.00

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57#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

You are in a rocket traveling awir 1q7dq, f+xhay from the Sun at 0.95c. You measure the speed of ligxhqd,i 7f+rq1 ht from 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Two spaceships are traveling through space at 0.6 uw+kal:d6,bw 0 c relative to the Earth. If the ships are headed directly toward each otwdu6al,:kw b+her, 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A fast spaceship is traveling with a speed of 0.80c. How fast would light trave2c09dvch q3qzl from the headlights of the ship relativecqq ch02dzv 93 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A spaceship moves away from the Earth with a speed e3 4ube1 we -rcqv46 naq9s)zjof 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 observer64zaqcsn 9-4wv) 3e eebjqu 1rs 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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A spaceship moves away from the Earth with a speed of 0.80c. ezj o4u2ek*m0zcmh 8- u51jjvThe spaceship then fires a missile with a speed of 0.50c relative to the spaces4jcoej0h-mu* 1m e2u5 v8kzjzhip. 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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Total:61 mks Pass:36.6 mks Duration:Unlimited

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