If astronauts could travel at  v = 0.956c,  we on Earth would say it takes  (4.20/0.956) = 4.39  years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts' clocks?  years (b) What is the distance to Alpha Centauri as measured by the astronauts?  light-years

Q: A star is observed to move away from us at a speed of 2.9km/s.  How far is the star ? Express your…

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Q: A space probe speeding towards the nearest star moves at 0.250c and sends radio information at a…

A: Given that-Velocity of source, v=0.250 cFrequency of source, fs=1.00 GHzFrom Doppler…

Q: Suppose the speed of light were 1000 mi/h. You are traveling on a flight from Los Angeles to Boston,…

A: According to your watch, what time is it when you land in Boston. Given, speed of lightc=1000…

Q: lighthouse sweeps its beam of light around in a circle once every 7.6 s. To an observer in a…

A: Given, Time interval, ∆t=7.6s ∆t'=16s

Q: The special theory of relativity has what effect on measurements done today? (a) None whatsoever,…

A: Given: The effect of measurements on the special theory of relativity.

Q: 10. Sirius is about 9.00 ly from Earth. To reach the star by spaceship in 15.0 y (ship time), how…

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Q: potential c

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Q: A space probe speeding towards the nearest star moves at 0.250c and sends radio information at a…

A: Given that-Velocity of source, v=0.250 cFrequency of source, fs=1.00 GHzFrom Doppler…

Q: The fastest space probe currently flying (perhaps one of the Voyagers) might be able to reach a…

A: As per policy, I am bound to answer only one question. NASA launched Voyagers in 1977 to trek across…

Q: A spaceship is moving away from Earth at 0.892c when it fires a small rocket in the forward…

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Q: As measured in Earth’s frame of reference, the Earth and the Moon are 384,000 km apart. A spaceship…

A: Write the formula for the speed of the spaceship.

Q: Rigel, which is in the constellation of Orion, is 770 ly away. You plan a sight-seeing vacation for…

A: Given  d = 770 ly Light year (ly) is definined as distance travelled by light in a year . Speed of…

Q: The Global Positioning System (GPS) relies on very accurate atomic clocks aboard a network of 24…

A: Required :  If the GPS satellites have to take into account the special relativistic effects.

Q: spacecraft is moving relative to the Earth and an observer on Earth finds that between exactly…

A: solution

Q: How fast (relative to the ship) must it be fired for it to travel at 0.942c relative to Earth? When…

A: The velocity of the rocket with respect to the ship is known as primed velocity.  The velocity of…

Q: A woman on a rocket traveling at 8.59c (with respect to Earthy observes a meteor come from in front…

A: Given,The rocket speed, The speed of meteor relative rocket, The meteor speed with respect to earth,

Q: A crew on a spacecraft watches a movie that is two hours long.the spacecraft is moving at high speed…

A: Given data: The time period of the movie is 2 hrs.

Q: 13. Sirius is the brightest star in the sky. It is 9 light years away. If you were to travel there…

A: The distance between the earth and the Sirius is 9 light-years. We know that  1Ly=9.461×1015m The…

Q: GPS satellites orbit the earth at a speed of approximately 3900 m/s, compared to our speed on the…

A: Solution: Given: c = speed of light = 2.99792000 x 108 m/s  1 day = 24 h x 60 min/h x 60 s/min =…

Q: In an Earth reference frame, a star is 44 light-years away. At what per cent of the speed of light…

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Q: A spaceship is moving away from Earth at 0.842c when it fires a small rocket in the forward…

A: Spaceship is moving away from earth at speed u=.842cSmall rocket move forward with speed relative to…

Q: What would be the total energy of the spaceship (m = 10^4 kg) when %3D moving at v = 0.75c as…

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Q: How long does it take (in seconds) for light to travel from the Sun to Saturn if the Sun is roughly…

A: Given data:  Distance (d) = 1.5×109 km Speed of light (v) = 3×108 m/s Required: Time (t)

Q: Suppose we want to send an astronaut on a round trip to visit a star that is 200 light-years distant…

A: As per the theory of special relativity time measured in a moving frame will be slower than the time…

Q: Q2. There are three stars. The left star, v = 0.903c and the right star where v is the same as the…

A: Given that, Two stars approaching the center star the velocity of the left star is v=0.903c And the…

Q: 10. Sirius is about 9.00 ly from Earth. To reach the star by spaceship in 15.0 y (ship time), how…

A: Distance from Sirius to the Earth is The required time or proper time is Find:The speed of…

Q: Jek Porkins is passing a small but suspicious-looking moon traveling at 0.490c. If the spherical…

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Q: A planet is 4.5 light years from Earth. A spaceship is able to fly at 0.9c. How long would it take…

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Q: 12

A: Given: Travel speed of astronaut is 0.95 c Time period is 11 years

Q: A futuristic trip from Earth to Alpha Centauri is taking place. The travellers start on Earth, from…

A: To find the proper time that Team A measures during their trip, we can use the equation for proper…

Q: Spacecraft 1 passes spacecraft 2 at 0.855c relative to spacecraft 2. An astronaut on spacecraft 1…

A: Special theory of relativity is a field of physics that comes into play when objects are moving at…

Q: A space probe speeding towards the nearest star moves at 0.250c and sends radio information at a…

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Q: Choose the BEST answer to the following: To say thatE=mc2 is to say that energy (a) increases as the…

A: As per the energy mass equivalence equation, the mass of the object can be converted into energy and…

Q: our friend and you fly in identically constructed spacecrafts. She overtakes you at a constant…

A: Concept used: At relativistic speeds, length gets contracted. Time gets dilated.

Q: What is the speed of light (c=3.0∗10^8m/s) in kilometers per hour?

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Q: a- A certain star is 18.618.6 light-years away. How long would it take a spacecraft traveling 0.950c…

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Q: 1. You want to travel into the future. If your space ship can go at a speed of 2.00 x 10 m/s, how…

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