[الحب الخالد]

انا وضعت المسائل هذه في قسم النسبيه وقلت خلني اضعه هنا لكي احد يساعدني ضروووووووري ضروووووووري وفي اقرب وقت انا عندي امتحان يوم الاثنين ارجوكم سااااعدوني




An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it decays. Its speed relative to the detector was 0.992c . what is its proper lifetime? that is, how long would the particle have lasted before decay had it been at rest with respect to the detector?

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The center of our milky way galaxy is about
230001y away
(a) To eight significant figures,
At what constant speed parameter would you need to travel exactly 23 000 1 y(measured in the galaxy frame) in exactly 30y(measured in your frame)?
(b)measured in your frame and in light-years, what length of the galaxy would pass by you during the
Trip?


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A clock moves along an x axis at a speed of 0.600c and reads zero as it passes the origin .
(a)calculate the clock's lorentz factor.(b)what time does the clock read as it passes x =180m?
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An armada of spaceships that is 1.00 1y long (in its rest frame ) moves with speed 0.800c relative to a ground station in frame S. A messenger travels from the rear of the armada to the front with a speed of 0.950c relative to S. How long does the trip take as measured (a)in the messenger's rest frame,(b)in the armada's rest frame, and (c)by an observer in frame S?

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A spaceship whose rest length is 350 m has a speed of 0.82c with respect to a certain reference frame . A micrometeorite, also with a speed of
0.82c in this frame, passes the spaceship on an antiparallel track. How long does it take this object to pass the ship as measured on the ship?

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