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One of many experimental verifications of the Special Theory of Relativity is that an electron travels inside a particle accelarator. An electron, traveling at relativistic velocity, has electric field lines that are compressed along the direction of motion as seen by a stationary observer. As the electron passes a detector, such as a coil of wire, its field interacts much more briefly, an effect observed at particle accelerators such as the

`3km`

long Stanford Linear Accelerator (SLAC). In fact, to an electron traveling down the beam pipe at SLAC, the accelerator and the Earth are all moving by and are length contracted. The relativistic effect is so great that the accelerator is only

`0.5m`

long to the electron. It is actually easier to get the electron beam down the pipe, since the beam does not have to be as precisely aimed to get down a short pipe as it would down one

`3km`

long. In terms of

`c`

(the speed of light), what would the speed of an electron be in this experiment at SLAC? (10 points)