An event occurs in system K' at x' = 2 m, y'= 3.5 m z = 3.5 m, and f = 0. System K' and K have their axes coincident at t= t = 0, and system K' travels along the x axis of system K with a speed 0.8c. What are the coordinates of the event in system K?
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- The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 ms. Suppose the muons move at a speed of 0.95 c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?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?Spaceship R is moving to the right at a speed of 0.733c with respect to Earth. A second spaceship, L, moves to the left at the same speed with respect to Earth. What is the speed of L with respect to R?? c
- fo 10. A square frame has sides that measure 2.00 m when it is at rest. What is the area of the frame when it moves parallel to one of its diagonal a speed of 0.72c as indicated in the figure? with m² ssf60 ssf60 ssf60 ssf60 s² sf60 ssf60 ssf60 ssf60 esf60 ssfor 50 ssf ss:60 ssi0 ssf603 js (9 08 09588 ssf60 ssf60 ssf60 ssi 60 ssf60 ssf60 ssf60 ssf60 ssf60 ssf60Events 1 and 2 are exploding firecrackers that each emit light pulses. In the reference frame of the detector, event 1 leaves a char mark at a distance 3.40 m from the detector, and event 2 leaves a similar mark at a distance 2.10 m from the detector. If the two events are simultaneous in the reference frame of the detector and occur at instant t = 0, at what instant of time will each light pulse be detected?