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Serway_CP_poll_ch26 - Our best measurements from Earth...

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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 = 0.95 c. What would the astronauts measure as the distance to Alpha Centauri? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 4.01 lightyears 2. 2.74 lightyears 3. 1.91 lightyears 4. 1.31 lightyears
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In a typical color television tube, the electrons are accelerated through a potential difference of 25,000 volts. What speed do the electrons have when they strike the screen? (q e = 1.6 x 10 -19 C, m e = 9.1 x 10 -31 kg, and c = 3 x 10 8 m/s) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. v = 0.15 c 2. v = 0.30 c 3. v = 0.45 c 4. v = 0.60 c
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Muons at speed 0.9994 c are sent round and round a circular storage ring of radius 500 m. If a muon at rest decays into other particles after T = 2.2 x 10 -6 s, how many trips around the storage ring do we expect the 0.9994 c muons to make before they decay? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 0.2 2. 2 3. 4 4. 6
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If astronauts could travel at v = 0.95 c, we on Earth would say it takes (4.2/0.95) = 4.4 years to reach Alpha Centauri, 4.2 light years away. The astronauts disagree. How much time passes on the astronauts' clocks? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 1.38 years 2. 1.91 years 3. 2.42 years 4. 3.01 years
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A muon formed high in Earth's atmosphere travels at a speed 0.99 c for a distance (as we see it) of 4.6 km before it decays. How far does the muon travel as measured in its frame? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 4554 m 2. 2596 m 3. 1298 m 4. 649 m
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The power output of the sun is 3.7 x 10 26 W. How much matter is converted into energy in the sun every second? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 4.1 x 10 9 kg/s 2. 6.3 x 10 8 kg/s 3. 7.4 x 10 7 kg/s 4. 3.7 x 10 6 kg/s
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A cube of steel has a volume of 1 cm 3 and a mass of 8 g when at rest on Earth. If this cube is now given a velocity of 0.9 c, what is its density as measured by a stationary observer? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 16 g/cm 3 2. 24 g/cm 3 3. 34 g/cm 3 4. 42 g/cm 3
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At what speed would a clock have to be moving in order to run at a rate that is one-half the rate of a clock at rest? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 0.67 c 2. 0.75 c 3. 0.87 c 4. 0.95 c
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A spaceship of mass 10 6 kg is to be accelerated to 0.6 c. How much energy does this require? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 1.13 x 10 22 J 2. 2.25 x 10 22 J 3. 3.38 x 10 22 J 4. 4.43 x 10 22 J
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A muon formed high in the Earth's atmosphere travels at a speed 0.99 c for a distance of 4.6 km before it decays. What is the muon's lifetime as measured in its reference frame?
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