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The Tevatron at the Fermi National Laboratory (Fermilab) west ofChicago is a particle accelerator capable to produce protons at atotal energy of one teraelectronvolt i.e. 1 TeV. (Hence the nameTevatron.)a) What is the Lorentz gamma factor for these protons?b) What is the speed of the protons in terms of the speed of thelight?(In this part of the problem you have to enter your answer with aprecision of seven or eight digits!)
The Tevatron at the Fermi National Laboratory (Fermilab) west ofChicago is a particle accelerator capable to produce protons at atotal energy of one teraelectronvolt i.e. 1 TeV. (Hence the nameTevatron.)(a)What is the Lorentz gamma factor for these protons?(b)What is the speed of the protons in terms of the speed of thelight?(In this part of the problem you have to enter your answer with aprecision of seven or eight digits!)
(a) How long does it take the astronaut in Example 28.2 to travel at (as measured by the Earth-bound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with as given.
Example 28.2 Calculating Length Contraction: The Distance between Stars Contracts when You Travel at High Velocity Suppose an astronaut, such as the twin discussed in Simultaneity and Time Dilation, travels so fast that . (a) She travels from the Earth to the nearest star system, Alpha Centauri, away as measured by an Earth-bound observer. How far apart are the Earth and Alpha Centauri as measured by the astronaut? (b) In terms of c , what is her velocity relative to the Earth? You may neglect the motion of the Earth relative to the Sun. (See Figure 28.11.)
