The identical twins Speedo and Goslo join a migration from the Earth to Planet X, which is 20.0 light-years away in a reference frame in which both planets are at rest. The twins, of the same age, depart at the same time on different spacecraft. Speedo's craft travels steadily at 0.905c, Goslo's at 0.680c. Calculate the age difference between the twins after Goslo's spacecraft lands on Planet X. Which twin is the older? Goslo is older by Iv
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- Two identical spaceships are under construction. The constructed length of each spaceship is 1.1 km. After being launched, spaceship A moves away from earth at a constant velocity (speed is 0.850c) with respect to the earth. Spaceship B follows in the same direction at a different constant velocity (speed is 0.6c) with respect to the earth. Determine the length that a passenger on one spaceship measures for the other spaceship.Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.867c, and the other twin travels at 0.515c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁ = i (b) Which twin is older?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?
- The identical twins Speedo and Goslo join a migration from the Earth to Planet X, which is 20.0 light-years away in a reference frame in which both planets are at rest. The twins, of the same age, depart at the same time on different spacecraft. Speedo's craft travels steadily at 0.905c, Goslo's at 0.680c. Calculate the age difference between the twins after Goslo's spacecraft lands on Planet X. Which twin is the older? Goslo is older by years.The distance from earth to the center of our galaxy is about 33,000 ly (1 ly = 1 light year = 9.47 x 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 x 107 s.) Number i d Modic UnitsA spaceship travels at 0.758c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.878c relative to Earth?
- As measured by the crew, a spaceship takes 8.1 years to fly from Earth to a distant star. If the ship traveled at 0.95c, which of the following is the distance between Earth and the star as measured by observers on Earth? 22.3 light years O 24.6 light years O 29.2 light years O 20.9 light yearsThe distance from earth to the center of our galaxy is about 24,000 ly (1 ly = 1 light year = 9.47 x 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 x 107 s.) Number UnitsAn astronaut travels to the next star at a speed of 0.95c and back. He notices that his trek has taken him 11 years. When he returns, how much time will have elapsed on Earth during his absence?
- The inertial reference frames, S and S', both share the same origin at t =t'=0. The S' frame is moving at a speed 0.700c in the positive direction, as seen by frame S. An event happens at (t',x', y', z') (300s, 2.50x10"m, 1.50x10"m, 2.90x10"m), as observed in the S' frame. What are the spacetime coordinates in the S frame?A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI unitsOne of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates the existence of one such planet named Boralis orbiting a star 135 ly from our solar system. Consider an interstellar spaceship leaving Earth to travel to Boralis. The ship can reach 0.86c almost instantly and can also decelerate almost instantly. The ship is 151 m long in its reference frame. (a) What is the length of the moving ship (in m) as measured by observers on Earth? m (b) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by an observer on Earth? years (c) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by astronauts in the spaceship? years