Interactive LearningWare 28.10 reviews the concepts that play roles in this problem. The distance from earth to the center of our galaxy is about 30,000 ly (1 ly = 1 light year = 9.47 × 1015 m), as measured by an earth-based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 × 107 s.)

Q: A spaceship, 230 m long as seen on board, moves by the Earth at 0.936c. What is its length (in m) as…

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Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54×107 light-years from Earth.…

A: Given, Distance, d = 2.54×107 light years  Time taken, t = 70 years

Q: Spaceship A moves away from Earth at a speed of 0.800c (Fig. P26.19). Spaceship B pursues at a speed…

A: The velocity of the spaceship A related to the Earth,

Q: A particle of rest energy 140 MeV moves at a sufficiently high speed that its total relativistic…

A: The expression from relativity,

Q: Saturn is 1.43 x 1012 m from the sun. A rocket travels along a line from the sun to Saturn at a…

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Q: An electron is accelerated through some potential difference to a final kinetic energy of 2.55 MeV.…

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Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

A: Given that :v=0.94 ct=1.525 μs

Q: Electromagnetic radiation from a star is observed with an earth-based The star is moving away from…

A: The Doppler effect is the change in the observed frequency of an electromagnetic wave due to…

Q: A spaceship, moving away from Earth at a speed of 0.948c, reports back by transmitting at a…

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Q: A spaceship from another galaxy passes over the solar system directly above a radial line from the…

A: Given Information: The speed of the space ship relative to the person on the Earth (Vse) = 0.800 c…

Q: A space beacon on Planet Karma emits a pulse of light every second. Spaceman Trevor flies directly…

A: Given data: Speed of Trevor, v=0.95c

Q: A moving rod is observed to have a length of ℓ = 2.00 m and to be orientedat an angle of θ = 30.0°…

A: (a) The observed length of the moving rod is l = 2.00 m. The angle made by the rod with the…

Q: The control panel on a spaceship contains a light that blinks every 2.00 s as observed by an…

A: Given,The speed of spaceship with respect to earth, v = 0.750c

Q: 2. Teenagers Sam and Tom are playing chicken in their rockets. As FIGURE Q36.2 shows, an…

A: 2 a) speed of the laser beam relative to Sam is c ( the speed of light) Because speed of light must…

Q: If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c…

A: Speed of the capsule relative to the ship using velocity addition theorem.

Q: NASA decides to chase the International Space Station (ISS) after the alien ship, reaching…

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Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

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Q: A meter stick moving in a direction parallel to its length appears to be only 43.6 cm long to an…

A: Given: The actual length of the stick is 1 m( meterstick). The apparent length of the stick is 43.6…

Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…

A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…

Q: A spaceship, moving away from Earth at a speed of 0.934c, reports back by transmitting at a…

A: Given : v = 0.934 c fo = 109 MHz

Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from…

A: Here , distance , d = 2.54 *10^7 light years time taken ,t = 85 years let the speed of the person is…

Q: What is the momentum of a proton moving at a speed v = 0.92c. %3D 1105 MeV/c O 4410 MeV/c 3055 MeV/c…

A: Data  We have mass of the proton,m=1.67×10-27 kg speed,v=0.92c

Q: A spaceship goes past a planet at a speed of 0.80c relative to the planet. An observer on the planet…

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Q: An alien spaceship travels at v=0.999c-299482km/s (where 'c' is the speed of light equal to 299782…

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Q: In 1985 the space shuttle Challenger flew a cesium clock and compared its time with a fixed clock…

A: v = 7712 m/sc = 3×108 m/sβ = 77123×108β = 2.57×10-5

Q: The cosmic rays of highest energy are protons that have kinetic energy on the order of 1013 Mev. (a)…

A: Given: Kinetic energy of proton = 1013MeV = 1.6×10-6MJ = 1.6 J Diameter of Galaxy, d = 7.80×104ly

Q: An alien spaceship traveling 0.600c toward Earth launches a landing craft with an advance guard of…

A: Dear student, the question contains more than three sub-parts. We will answer first three sub-parts.

Q: The nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft…

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Q: Suppose a space probe moves away from the Earth at a speed 0.350c . It sends a radio wave message…

A: The speed of the space prob, v=0.350 c   The frequency of the source, fs=1.50 GHz

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Speed of the shuttle is v = 0.90c Length of the shuttle is lo = 100 m

Q: In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri,…

A: CONCEPT: Given,           The distance of alpha Centauri from the Earth is…

Q: If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years…

A: Formula to calculate the time passes on astronaut’s clock is,

Q: 1. Assuming that you are moving with a constant speed of 0.55c when you passed by a man on the…

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Q: An observer moving at a speed of 0.995c relative to a rod (Fig. P26.49) measures its length to be…

A: Consider the observer to be moving in the x-direction. The x-component of the length is contracted…

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.