Imagine an alien spaceship and a human-controlled ship moving directly toward each other. An observer on Earth measures the both of their speeds as 0.685c with respect to the Earth. What is the speed of the alien ship with respect to the human ship? That is, what is the speed of the alien ship as measured by the pilot of the human ship? Express your answer as a fraction of the speed of light, c. |VAH/c|=
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- Many expressions in special relativity contain the gamma (y) factor. 1 Y √1-v²/c² In the equation, u is the speed of some object or reference frame and c is the speed of light. Find the numerical value of y for each of the listed speeds. U = 0, 1 Y = V = 0.450c, Y = V = 0.980c, Y = 5.03A spacecraft is moving at speed 0.61c relative to two star systems—star system A and star system B— that are always the same distance apart with respect to each other. Observers aboard the spacecraft measure the time taken to travel from start system A to star system B as 23.22 years. What is the distance between the two star systems, in light-years, as measured by an observer that is bound to star system B.A spacecraft with proper length 600 m travels at speed of ().3c relative to an inertial frame of reference S. A small ball rolls inside the spacecraft with a velocity u' = 0.12c in the positive x direction relative to the spacecraft. ν a. What is the ball's speed as measured by an observer in frame S? Give answer in units of c. 0.40 b. How much time will it take to the ball to cross the whole spacecraft (end to end) according to an observer in frame S? Give answer in microseconds (1 μs = 10−6 s). 18.2 c. What is the distance the ball rolled (relative to frame S). Give answer in km. 2.10 X
- The dimensionless parameter γ is used frequently in relativity. As γ becomes larger and larger than 1, it means relativistic effects are becoming more and more important. A. What is γ if v = 0.28c? B. What is γ if v = 0.53c?A spaceship leaves Earth traveling at 0.60 c. A second spaceship leaves the first at a speed of 0.90 c with respect to the first. Calculate the speed of the second ship with respect to Earth if it is fired in the same direction the first spaceship is already moving. Express your answer using two significant figures. ΑΣΦ 画 ? Submit Request Answer Part B Calculate the speed of the second ship with respect to Earth if it is fired directly backward toward Earth. Express your answer using two significant figures. ΑΣφ ? Submit Request Answer IIa) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this have on the Moon and on the Earth? b) To prevent this, Flash (sorry, wrong company) runs to the Moon at a speed of 0.998c. From his point of view, the trip takes 0.126 s. How long does it take from our point of view on Earth?
- 1. An astronaut travels to a distant star with a speed of 0.46c relative to Earth. From the astronaut's point of view, the star is 4.40 ly from Earth. On the return trip, the astronaut travels with a speed of 0.90c relative to Earth. What is the distance covered on the return trip, as measured by the astronaut? Give your answer in ly f60 ss 0 ssf60* f60 ss 0 ssf6 ssf60 ssf6QYou travel in a 2,500,000 kg spacecraft from Earth to our closest neighbouring star, Proxima Centauri, which is 4.22 ly (light years) away. Your spacecraft travels at 0.9 c. How much time does this take from Earth's frame of reference? (Ans: 4.7 y) How much time does it take from your frame of reference? (Ans: 2.0 y) c) What distance do you travel from your frame of reference? (Ans: 1.74x1016 m) What distance does an observer from Earth see you traveling? (Ans: 3.99 x 101 m) What would the mass of your spacecraft appear to be relative to the Earthlings?When traveling past an observer with a relative speed v, a rocket is measured to be 9.00 m long. When the rocket moves with a relative speed 2v, its length is measured to be 4.90 m. Part A What is the speed v? v = VO ΑΣΦ ? Submit Request Answer ་ Part B What is the proper length of the rocket? C
- Answer part D and E.Chapter 37, Problem 030 Stellar system Q, moves away from us at a speed of 0.975c. Stellar system Q2, which lies in the same direction in space but is closer to us, is moving away from us at a speed 0.492c. What multiple of c gives the speed of Q, as measured by an observer in the reference frame of Q;? Number UnitsYou and your secret celebrity crush pass each other in rockets that are each traveling 0.56c relative to the other. Your secret celebrity crush takes a nap and you decide to time how long the nap takes. In your frame, the nap takes 1.7 h. How long was the nap in your secret celebrity crush's frame? Unbeknownst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you timing the nap. Concerned, the agent decides to time how long you were timing the nap. In the agent's frame, how long were you timing your secret celebrity crush's nap?