EBK THE COSMIC PERSPECTIVE
EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161753
Author: Voit
Publisher: VST
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Chapter S2, Problem 57EAP

Racing a Light Beam II. Following his humiliation in the first race against the light beam (Problem 56), Jo went into hiding for the next 2 years. By that time, most people had forgotten about both him and the money they had wasted on the pay-per-view event. However, Jo was secretly in training during this time. He worked out hard and tested new performance-enhancing substances. One day, he emerged from hiding and called another press conference. “I’m ready for a rematch,” he announced. Sponsors were few this time and spectators scarce in the huge Olympic stadium where Jo and the flashlight lined up at the starting line. But those who were there will never forget what they saw, although it all happened very quickly. Jo blasted out of the starting block at 99.9% of the speed of light. The light beam, emitted from the flashlight, took off at the speed of light. The light beam won again—but barely! After the race, TV commentators searched for Jo, but he seemed to be hiding again. Finally, they found him in a corner of the locker room, sulking under a towel. “What’s wrong? You did great!” said the commentators. Jo looked back sadly, saying, “Two years of training and experiments, for nothing!” Let’s investigate what happened.

  1. As seen by spectators in the grandstand, how much faster than Jo is the light beam?
  2. As seen by Jo, how much faster is the light beam than he is? Explain your answer clearly.
  3. Using your results from parts a and b, explain why Jo can say that he was beaten just as badly as before, while the spectators can think he gave the light beam a good race.
  4. Although Jo was disappointed by his performance against the light beam, he did experience one pleasant surprise: The 100-meter course seemed short to him. In Jo’s reference frame during the race, how long was the 100-meter course?

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This is purely a theoretical question with which I am struggling. Consider a system of N particles that interact via an attractive gravitationalforce that is proportional to the distance between particles: Fij = -kmimj(rj - ri) where k is a positive constant and i, j = 1 .... N. Determine the trajectories of the particles. (Hint: Choose a reference frame in which the CM is at rest at the origin).
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Problem 1. Part (a) You are in deep outer space, far away from any massive objects. You have two boxes, one of which is filled with lifesaving food while the other is empty. Unfortunately, you only have the means to open one of the boxes! But luck is on your side: you took PHYS 102! Using your conceptual understanding of physics, how will you determine which box to open? Part (b) An office has a 4-m x 5-m floor. If the total downward force on the floor is 2.2×106 N, then what is the air pressure in the room? Part (c) In which of the following scenarios is the total mechanical energy of the system conserved? Any objects that are underlined are included the system. There may be more than one correct answer, circle all that apply. (a) A plastic ball submerged in water floats to the surface. (b) A ballistic collides with and sticks to a pendulum. The two objects move together. (c) The Moon completes a full revolution around the Earth. (d) A ball sitting on the bottom of an incline…

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EBK THE COSMIC PERSPECTIVE

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