An astronomer observes two stars explode in simultaneous supernovae. The stars are 200 light years apart. To an observer traveling at 0.5c, the explosions will generally occur at different times. O still be simultaneous. O be farther apart. O take twice as long to happen.
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- An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K° particle passes the experimenter at 0.5c and decays, emitting a 7° in the original direction of motion. In the experimenter's frame, the speed of the T° is measured to be O 1.3c. O between c and 1.3c. between .5c and .8c. O between .8c and c..1. Suppose a spaceship heading straight toward the Earth at 0.650c can shoot a canister at 0.400c relative to the ship. (a) What is the velocity of the canister relative to Earth, if it is shot directly at Earth? (b) If it is shot directly away from Earth?3) In a frame S, two events are observed by Max: event 1: a pion (pi meson) is created at rest at the origin, and event 2: the pion disintegrates (decays) after time T. Susan is an observer in frame S', and is moving in the positive direction along the positive x-axis, with speed v. Susan observes the same two events in her frame. The two frames coincide at time t = t' = 0. a) Find the positions and timings of these two events in Susan's frame according to the Galilean transformation. b) What are the positions and timings of the two events in Susan's frame according to the Lorentz transformation? Provide details of how you calculated your results, and explain the differences be- tween the answers (a) and (b).