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3. 37.2 . The positive muon (u ), an unstable particle, lives on average 2.20 X 10 's (measured in its own frame of reference) before decaying. (a) If such a particle is moving, with respect to the laboratory, with a speed of 0.950, what average lifetime is measured in the laboratory? (b) What average distance, measured in the laboratory. does the particle move before decaying? 4. 37.9 . A spacecraft of the Trade Federation flies past the planet Coruscant at a speed of 0.630c. A scientist on Coruscant measures the length of the moving spacecraft to be 80.0 m. The spacecraft later lands on Coruscant, and the same scientist mea- sures the length of the now stationary spacecraft. What value does she get? 5. 37.15 . An observer in frame S' is moving to the right ( +x-direction) at speed u = 0.580c away from a stationary observer in frame S. The observer in S' measures the speed v' of a particle moving to the right away from her. What speed v does the observer in S measure for the particle if (a) v' = 0.380c; (b) v' = 0.820c; (c) v' = 0.990c?1. Q37.1 You are standing on a train platform watching a high-speed train pass by. A light inside one of the train cars is turned on and then a little later it is turned off. (a) Who can measure the proper time interval for the duration of the light: you or a passen- ger on the train? (b) Who can measure the proper length of the train car: you or a passenger on the train? (c) Who can measure the proper length of a sign attached to a post on the train platform: you or a passenger on the train? In each case explain your answer. 2. Q37.3 A rocket is moving to Figure Q37.3 the right at 5 the speed of light relative to the earth. A C light bulb in the center of a room inside the rocket sud- B 4 denly turns on. Call the light hitting the front end of the room event A and the light hitting the back of the room event B (Fig. Q37.3). Which event occurs first, A or B, or are they simultaneous, as viewed by (a) an astronaut riding in the rocket and (b) a person at rest on the earth?6. 37.23 . Tell It to the Judge. (a) How fast must you be approaching a red traffic light (A = 675 nm) for it to appear yel- low (A = 575 nm)? Express your answer in terms of the speed of light. (b) If you used this as a reason not to get a ticket for running a red light, how much of a fine would you get for speeding? Assume that the fine is $1.00 for each kilometer per hour that your speed exceeds the posted limit of 90 km/h. 7. 37.32 . If a muon is traveling at 0.999c. what are its momentum and kinetic energy? (The mass of such a muon at rest in the labo- ratory is 207 times the electron mass.)1. Copy the problems and answer them in pad paper. write your concise answers for essay questions and cite sources it any. Write your solutions legihly and show solution steps, explaining when necessary. Follow the proper no. of Significant Figures