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.
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- 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?John, in his spaceship, observes as Sally, in her spaceship, passes him at a speed of v=0.8c. John who was born and raised on his spaceship, is 20 years old. According to Sally, how old is he? How many birthday parties should he have had and how many presents should Sally have sent him?
- You are on Earth, and a spaceship nearby is traveling at 0.85c. By your clock, 5.50 hours have passed. You compare your clock with the one on the spaceship. How much time has elapsed, as measured by the spaceship's clock?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 yearsAn 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?
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