Exam 26: Relativity

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A spaceship of triangular shape,having a length three times its width,is capable of relativistic speeds.How fast would it have to move so that to a stationary observer its length would equal its width?

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Two spaceships are approaching one another,one with speed v​1 and the other with speed v​2.Neither speed is 0.Their speed of approach,according to Newtonian mechanics,is ​v​1 + ​v​2.Special relativity tells us that the speed of approach

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If the mass of a proton is 1.67 × 10−27 kg,what is the rest energy of the proton? (c = 3.00 × 108 m/s and 1 eV = 1.6 × 10−19 J)

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A proton with mass 1.67 × 10−27 kg moves in an accelerator with speed of 0.690c.What is its kinetic energy? (c = 3.00 × 108 m/s)

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As the speed of an object increases,its relativistic momentum:

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An Earth observer sees a spaceship at an altitude of 920 m moving downward toward the Earth at a speed of 0.690c.What is the spaceship's altitude as measured by an observer in the spaceship?

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A spaceship,which has length 35 m and width 16 m when at rest,is moving in a direction along its length at a speed where its length contraction results in a 28-m length measured by a stationary observer.What would the measured width be in this case?

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A particle of mass m is moving at speed ​v​ = ​c​/2.What is its momentum?

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A muon formed high in Earth's atmosphere travels at a speed 0.960c for a distance (as we see it)of 4500 m before it decays.How far does the muon travel as measured in its frame?

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The short lifetime of muons created in the upper atmosphere of the Earth would not allow them to reach the surface of the Earth unless their lifetime increased by time dilation.From the reference system of the muons,the muons can reach the surface of the Earth because

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An electron of mass 9.11 × 10−31 kg moves with a speed of 0.630c.What is its total energy? (c = 3.00 × 108 m/s)

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A meter stick moving in a direction parallel to its length appears to be only 43.6 cm long to an observer.What is the meter stick's speed relative to the observer? (c = 3.00 × 108 m/s)

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Suppose an object whose mass is m is moving with a speed of 0.8c.Which is the correct expression for its kinetic energy?

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Including relativistic effects,doubling the speed of a object:

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The period of a pendulum is 1.5 s in a stationary inertial frame of reference.What is its period when measured by an observer moving at a speed of 0.75 c with respect to the inertial frame of reference?

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What is the change in relativistic momentum of an electron that accelerates from 0.900c to 0.930c?​

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Our best measurements from Earth indicate that the star system Alpha Centauri is 4.2 lightyears away.Suppose some of our astronauts traveled there at a speed v = 0.80c.What would the astronauts measure as the distance to Alpha Centauri?

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What is the relativistic kinetic energy of an electron moving at a speed of 2.30 × 108 m/s? (electron mass is 9.11 × 10−31 kg and c = 3.00 × 108 m/s)

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Which of the following statements is correct?​

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I am stationary in a reference system but if my reference system is not an inertial reference system,then,relative to me,a system that is an inertial reference system must

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