You are working in the cancer therapy division of a hospital.This hospital treats cancer by hitting a tumor with high energyprotons from a cyclotron. When the protons leave the cyclotron theyare going at half the speed of light. You are in charge ofdeflecting the protons so they hit the patent's tumor. Thisdeflection is accomplished by passing the proton beam between twoflat, parallel electrodes that have a length of 10.0 feet in theentering beam direction. The protons enter the region between theelectrodes going parallel to their surface. The two electrodes areseparated by 1.5 inches. A high voltage is applied to theelectrodes so that the protons passing between them have a constantacceleration as they are attracted directly toward one plate andrepelled by the other. After the protons leave the region betweenthe plates, they are no longer accelerated during the remaining 200feet to the patient. To set the correct high voltage, you need tocalculate the magnitude of the acceleration the protons need whenthey are between the plates so that they are deflected by 1.0degree, the angle between the incident beam and the beam hittingthe patient. The speed of light is 1.0 foot per nanosecond.
