SLAC, the Stanford Linear Accelerator Center, located at Stanford University in Palo Alto, California, accelerates electrons through a vacuum tube two miles long (it can be seen from an overpass of...

SLAC, the Stanford Linear Accelerator Center, located at Stanford University in Palo Alto, California, accelerates electrons

through a vacuum tube two miles long (it can be seen from an overpass of the Junipero Serra freeway that goes right over

the accelerator). Electrons that are initially at rest are subjected to a continuous force of 2 × 10−12 N along the entire length

of two miles (one mile is 1.6 kilometers) and reach speeds very near the speed of light. A similar analysis in a previous

chapter required numerical integration, but with the new techniques of this chapter you can analyze the motion analytically.

(a) Calculate the final energy, momentum, and speed of the electron.

(b) Calculate the approximate time required to go the twomile distance.

Sections 6.5, 6.6, 6.7