A spaceship travels at 0.80c from Earth to a star 10 light years distant, as measured in
Chapter 33, Problem 47(choose chapter or problem)
A spaceship travels at 0.80c from Earth to a star 10 light years distant, as measured in the Earthstar reference frame. Let event A be the ships departure from Earth and event B its arrival at the star. (a) Find the distance and time between the two events in the Earthstar frame. (b) Repeat for the ships frame. (Hint: The distance in the ship frame is the distance an observer has to move with respect to that frame to be at both eventsnot the same as the Lorentz-contracted distance between Earth and star.) (c) Compute the square of the spacetime interval in both frames to show explicitly that its invariant.
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