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George Gamow imagined a world in which the speed of light is only c = 10 mph (4.5 m/s), so that 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 this speed. 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 a mile away down the straight road. What distance to the station does she see? She stands on the pedals to speed up, to 9.9875 mph. Calculate the new value of gamma. What effect does 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 at the station. What would she have estimated? What effect does her acceleration have on these two times?

George Gamow imagined a world in which the speed of light is only c = 10 mph (4.5 m/s), so that 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 this speed. 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 a mile away down the straight road. What distance to the station does she see? She stands on the pedals to speed up, to 9.9875 mph. Calculate the new value of gamma. What effect does 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 at the station. What would she have estimated? What effect does her acceleration have on these two times?

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter28: Special Relativity
Section: Chapter Questions
Problem 9CQ: Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of...
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George Gamow imagined a world in which the speed of light is only c = 10 mph (4.5 m/s), so that 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 this speed. 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 a mile away down the straight road. What distance to the station does she see? She stands on the pedals to speed up, to 9.9875 mph. Calculate the new value of gamma. What effect does 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 at the station. What would she have estimated? What effect does her acceleration have on these two times?
Transcribed Image Text:George Gamow imagined a world in which the speed of light is only c = 10 mph (4.5 m/s), so that 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 this speed. 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 a mile away down the straight road. What distance to the station does she see? She stands on the pedals to speed up, to 9.9875 mph. Calculate the new value of gamma. What effect does 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 at the station. What would she have estimated? What effect does her acceleration have on these two times?
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