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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1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?
A driver is sentenced in court for crossing an intersection in red light. For his defense, the driver claims that due to the relativistic Doppler effect he saw the traffic light as green color. Color of light depends on the light wavelength (wavelength of a wave is equal to the speed of the wave times the period). The wavelength of red light is 700 nm and the wavelength of green light is 500 nm. How fast the driver should have travelled to see red color as green color? Give answer in units of speed of light. 0.32 X
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).
Determine an expression for the total travel time of the light pulse, as measured by the following: A) an observer in the S frame (Use the following as necessary: c, d, and v.) B) an observer on the spacecraft (Use the following as necessary: c, d, and v.) What If? If the transmitted light beam has a wavelength λT, determine an expression for the shift in the wavelength of the light beam, as measured by the following C) an observer in the S frame (Use the following as necessary: c, v, and λT.) D) an observer on the spacecraft (Use the following as necessary: c, v, and λT.)
Doppler Effect: This problem looks at wavelength shifts instead of frequency shifts. In this problem, AX is defined as the difference between the wavelength in the observer's frame and the source frame, and you can pick 2 to be equal to the wavelength in the source frame. a. Show that, for speeds u<
0.9838 not correct
Consider a general equation for the ratio the relativistic length to the proper length. Find an algebraic expression for v/c in terms of, ΔL/ΔLo Show the algebraic form of the equation that you apply and the final final expression.
Consider a proton that has a momentum of 1.00 kg·m/s. Part (a) Calculate the relativistic parameter γ for the proton. You will have to use a 2.998 × 108 for the speed of light to get this answer correct. Part (b) What is its speed, in meters per second? Such protons form a rare component of cosmic radiation with uncertain origins.
An alarm clock is set to sound in 10.0 = h. Att 0, the clock is placed in a spaceship moving with a speed of 0.736 c (relative to Earth). What distance, as determined by an Earth observer, does the spaceship travel before the alarm clock sounds? (Hint: Keep track of your units!) answer in m
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.

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