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Hwksolns9_Publishers - HW # 9 Ch 37: RELATIVITY CONCEPTUAL...

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HW # 9 Ch – 37: RELATIVITY CONCEPTUAL QUESTIONS 37.3. Event 1 occurs after event 2. The flash of light from event 2 has to travel twice as far as the flash of light from event 1 and will take twice as long to travel that longer distance. 37.4. Your lab partner is in the same reference frame as you are and so, with appropriate calculations and allowances for light travel time, will conclude, as you do, that the two events are simultaneous. 37.5. (a) Yes, they are simultaneous in Peggy’s reference frame because she and the firecrackers are at rest relative to one another and she is halfway between them and saw the explosions at the same time. (b) No, the left one occurred first because it had a farther distance for its light to reach Peggy since she was moving toward the right one. 37.6. (a) No. During the time the flashes of light are traveling, the rocket is moving to the right. So the flash from the right lightning strike has less distance to travel to get to the rocket and therefore reaches the rocket pilot first. (b) No. Two events which are simultaneous in reference frame S are not simultaneous in any reference frame moving relative to S. The student sees the tree on the left hit first. He is moving to the left relative to the frame of the rocket where the strikes were simultaneous. So he moves toward the wave front on the left and away from the one on the right. 37.7. (a) Event 1 is your friend leaving Los Angeles; event 2 is your friend arriving in New York. (b) Your friend. (c) Your friend. 37.8. (a) No, you measured the left end first. (b) Yes, experimenters in S’ are at rest relative to the meter stick so they are measuring the proper length and the proper time. 37.9. Yes, the experimenters on the ground will measure the train as length contracted, and if it is going fast enough 80 m. L
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EXERCISES AND PROBLEMS 37.2. Model: S and S are inertial frames. S moves relative to S with speed v . Solve: (a) Using the Galilean transformations of position, x 1 x 1 vt 1 4.0 m x 1 v (1.0 s) x 1 4.0 m v (1.0 s) x 2 x 2 vt 2 4.0 m x 2 v (3.0 s) x 2 4.0 m v (3.0 s) Because x 1 x 2 , 4.0 m v (1.0 s) 4.0 m v (3.0 s) v 4.0 m/s (b) The positions of the two explosions in the S frame are x 1 4.0 m (4.0 m/s)(1.0 s) 8.0 m x 2 4.0 m (4.0 m/s)(3.0 s) 8.0 m 37.6. Model: Assume the spacecraft is an inertial reference frame. Solve: Light travels at speed c in all inertial reference frames, regardless of how the reference frames are moving with respect to the light source. Relative to the spacecraft, the starlight is approaching at the speed of light c 3.00 10 8 m/s.
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This note was uploaded on 12/26/2011 for the course PHYSICS 270 taught by Professor Drake during the Fall '08 term at Maryland.

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Hwksolns9_Publishers - HW # 9 Ch 37: RELATIVITY CONCEPTUAL...

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