The Advanced Photon Source (APS) at Argonne National Laborat…

The Advanced Photon Source (APS) at Argonne National Laboratory produces X-rays from electrons that have been accelerated to an energy of approximately 7 gigaelectron volts. This corresponds to an electron velocity very close to the speed of light. If an APS electron’s speed is v, calculate c-v in m/sec to two significant figures. Assume the electron described above is traveling at constant speed around a circular path with circumference 1.1 km. Compute the acceleration a of the electron in m s-2 and as a multiple of the gravitational acceleration g

Since the electron is traveling with the velocity ‘v’ nearer to that of light, its energy is 1E = mc 2 − 1 = 7g − e.volts = 7 × 109 × 1.6 × 10 −19 Jgiven by v21− 2 c = 11.2 ×…