FYKOS Year 28 Series 6 Problem 5 — pub fight · FYKOS 28 #28.6.5
Physics · mechanics · electromagnetism
Problem
During his visit to Ankh-Morpork Two flower also visited a pub. It wouldn't have been a good pub if a general brawl didn't occur. A brawl during which chairs, bottles and other things fly fromone side of the pub to the other. Twoflower obviously documented everything with his camera. Now he is currently taking a picture of a ball of radius Rthat is flying with a velocity v (which is close to the speed of light c). Even in such establishments the theory of relativity is valid and from it stems that Twoflower could have measured the Fitzgerald contraction of the ball in his rest frame in the direction of movement by a factor of
1−c2v2
What radius of the ball was documented by the camera with a negligibly small exposition?The position of the camera is general.