A spacecraft is moving at speed 0.68c 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 abroad the spacecraft measure the time taken to travel from star system A to star system B as 25.73 years. What is the distance between the two star systems, in light-years, as measured by an observer that is bound to star system A?
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A spacecraft is moving at speed 0.68c 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 abroad the spacecraft measure the time taken to travel from star system A to star system B as 25.73 years. What is the distance between the two star systems, in light-years, as measured by an observer that is bound to star system A?
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- The star 61 Cygni A is 11.4 light-years from Earth. Imagine a spaceship that travels from Earth to 61 Cygni A at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be 11.4 ly 0.921c = 12.4 years. (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a traveler aboard the ship? years (b) What is the distance to the star (in light years) as measured by a traveler aboard the ship? lya) Suppose you decide to travel to a star 66 light-years away at a speed that tells you the distance is only 24 light-years. How many years would it take you to make the trip? Express your answer using two significant figures. b)In its own reference frame, a box has the shape of a cube 1.5 mm on a side. This box is loaded onto the flat floor of a spaceship and the spaceship then flies past us with a horizontal speed of 0.90 cc.What is the volume (m3 ) of the box as we observe it?Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has a velocity v= 0.980c. The muon then travels at constant velocity and lives 1.52 us as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock. See the figure below. Enter your answers to at least four significant figures. Assume the speed of light is 2.998 x 108 m/s.) اد us At (a) How long (in us) would the muon have lived as observed on the Earth if its velocity was 0.0690c? (b) How far (in m) would it have traveled as observed on the Earth? (c) What distance (in m) is this in the muon's frame?
- Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile towards the other. The missile leaves the attacking spaceship at 0.955c and approaches the other at 0.755c. What is the relative velocity of the two spaceships? Express it as a ratio to the speed of light. Let the relative velocity of the spaceships be positive if they are approaching each other and negative if they are moving apart from one another.A star is located 42.8 lightyears from Earth. A spaceship travels to the star with a speed of 0.9870c. If an astronaut aboard the spaceship is 21 years old when the spaceship leaves Earth, how old is she when she reaches the star: a) According to an observer on Earth? b) According to her?A star is 16.6 light-years from Earth. Part A How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on Earth? tEarth 17.5 years Submit ✓ Part B Correct How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on the spacecraft? t = 5.46 years Submit ✓ Previous Answers Part C Correct Submit What is the distance traveled according to observers on the spacecraft? 15.18 light-years Previous Answers Part D Correct Previous Answers v= 5.18 What will the spacecraft occupants compute their speed to be from the results of part B and part C? IT| ΑΣΦ Submit Previous Answers Request Answer ? X Incorrect; Try Again; 3 attempts remaining .C
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- Answer both of the following questions regarding Special Relativity: a) An astronaut leaves their twin behind on Earth and departs on a journey on a spacecraft travelling at a speed of 0.840c. After 40.0 years pass on Earth, the astronaut returns to Earth to find that their age is now different from their twin. Both twins were 20 years old when the journey started. How old is the astronaut upon returning to Earth?For an astronaut traveling to a star 10 lightyears away at v=0.99c and returning, spending negligible amount of time at the destination, describe the journey as the astronaut would observe it. In particular, describe what the astronaut would observe as happening on Earth during the journeyYour 1000-m-long starship has warning lights at each end that, to you, flash simultaneously every minute. You are moving directly away from the planet Zerkon at 0.70c. To a Zerkonian, do the lights flash simultaneously? If not, which flashes first— the light at the front of your ship or the trailing one?