George Gamow imagined a world in which the speed of light is only c = 10 mph (4.5 m/s), sothat relativistic effects become evident in everyday life. (In Mr Tompkins in Wonderland.)a)Calculate the factor gamma for a speed of 9.95 mph. A cyclist approaches you at thisspeed. Describe and/or sketch what you would see.b) The cyclist realises she is running late, going to the station that you can see is almost amile away down the straight road. What distance to the station does she see? She standson the pedals to speed up, to 9.9875 mph. Calculate the new value of gamma. What effectdoes this have, on the distances that you see and that she sees?c) Before she accelerated, you estimated that she would take about six minutes to arrive atthe station. What would she have estimated? What effect does her acceleration have onthese two times?

Answered: Image /qna-images/answer/19301bdd-4e01-44a4-b5a5-d5e98fcdbf85.jpg

Answered: George Gamow imagined a world in which…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The star of a distant solar system explodes as a supernova. At the moment of the explosion, an resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explosion travels with 25000 km/s towards the spaceship. To save the crew, the spacecraft makes use of a special booster that uniformly accelerates at 150 m/s^2 in the opposite direction.Determine if the crew manages to escape from the shock wave. (Neglect relativistic effects).
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A particle of relativistic mass 1.80x10-29 kg is moving with a constant speed of 3c/5 to an inertial system. For observers in the inert system, calculate A) the relativistic momentum of the particle B) the rest mass of the particle C) its relativistic rest energy D) its relativistic kinetic energy
Q2: a- What are the basic postulates of special relativistic theory? b- The period of a pendulum is measured to be 4.0 se in the rest frame of the pendulum. What is the period of the pendulum when measured by an observer moving at half of light speed with respect to the pendulum?
Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.
At t=0, an alien spaceship passes by the earth: let this be event A. At t=13 min (according to synchronized clocks on earth and Mars), the spaceship passes by Mars, which is 5 light-minutes from earth at the time: let this be event B. Radar tracking indicates that the spaceship moves at a constant velocity between earth and Mars. Just after the ship passes earth, people on earth launch a probe whose purpose is to catch up with and investigate the spaceship. This probe accelerates away from earth, moving slowly at first, but moving faster and faster as time passes, eventually catching up with and passing the alien ship just as it passes Mars. In all parts of this problem, you can ignore the effects of gravity and the relative motion of earth and Mars (which are small) and treat earth and Mars as if they were both at rest in the inertial reference frame of the solar system. Also assume that both the probe and the alien spacecraft carry clocks. 1. Draw a quantitatively accurate…

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