Astrobe light is placed at the center of a 25 m long train car above a passenger. the car moves at a speed of 30 m/s past an observer seated next to the track. when the passenger passes the observer, the strobe goes off. (hint: for this question, you might need to approximate the quantity (1- v2/2)-1 as you would for (1- e)-1) (a) will the observer on the ground measure the strobe to have reached both ends of the train car simultancously? if not, what was the delay between the two events? (b) will the passenger measure the light from the strobe to have reached the ends of the train car simultaneously? if not, what was the delay between the two events? an astronaut's resting heart rate is 60 beats/min. at what speed must the spacecraft be passing earth so that an observer on the ground would measure his heartbeat to be only: 59 beats/min? 40 beats/min? 30 beats/min? 1 beat/min? express your answer as a fraction of the speed of light. (are any of these speeds something you would experience on a typical trip to daytona beach? ) 2. 3. which of the following pairs of spacetime events are separated by timelike, lightlike, and spacelike intervals? (these events are given by (ct, z, y,2) so you do not need to multiply the zeroth component by c). (a) (5,3,0,9) and (4,2,-1,8) (b) (8,6,7,5) and (10,7,8,6) (c) (2,3,6,0) and (0,3,7,0) (d) (-5,3,0,4) and (0,0,0,0) (e) (2,3,5,7) and (6,6,5,12) according to observers on earth, vger made the trip from saturn's orbit (9.5 au) to earth (1.0 au) in 2.363 hours. how long did it take according to vger's clock?