Exam 27: Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

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As measured from the Earth,a spacecraft is moving at speed 0.80c toward a second spacecraft moving at speed 0.60c back toward the first spacecraft.What is the speed of the first spacecraft as viewed from the second spacecraft?

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An object moves by an observer at 0.600c.The total energy of the object will be what factor times that of the rest energy?

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Through what potential difference would an electron initially at rest need to be accelerated to have its total energy be triple its rest energy? (me = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,and qe = 1.6 × 10−19 C)

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A muon formed high in the Earth's atmosphere travels at a speed 0.990c for a distance of 6.40 km before it decays.What is the muon's lifetime as measured in its reference frame?

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An Earth observer sees a spaceship at an altitude of 980 m moving downward toward the Earth at a speed of 0.600c.What is the spaceship's altitude as measured by an observer in the spaceship?

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A space probe has a 24.7-m length when measured at rest.What length does an observer at rest measure when the probe is going by at a speed of 0.860c?

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An unknown particle in an accelerator moving at a speed of 2.00 × 108 m/s has a measured total energy of 1.22 × 10−9 J.What is its mass? (c = 3.00 × 108 m/s)

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A rocket ship is 74.0 m in length when measured before leaving the launching pad.What would its velocity be if a ground observer measured its length as 60.0 m while it is in flight? (c = 3.00 × 108 m/s)

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Doubling the momentum of a particle:

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What is the relativistic kinetic energy of an electron moving at a speed of 2.00 × 108 m/s? (electron mass is 9.11 × 10−31 kg and c = 3.00 × 108 m/s)

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Our best measurements from Earth indicate that the star system Alpha Centauri is 4.2 light-years away.Suppose some of our astronauts traveled there at a speed v = 0.90c.What would the astronauts measure as the distance to Alpha Centauri?

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What is proper time?

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