You are starting a new job in the cancer therapy division of a hospital. this hospital treats cancer by hitting the tumor with high energy protons from a cyclotron. when the protons leave the cyclotron, they are going half the speed of light. your job will be to deflect the protons, so they hit the patient's tumor this deflection is accomplished by passing the proton beam through two flat parallel electrodes that are 10 feet long. the protons enter the region between the electrodes traveling with an initial velocity that is parallel to their surface. the two electrodes are separated by 1.5 inches. a voltage is applied to the electrodes so that the protons passing between them have a constant acceleration - they are attracted directly toward one plate and repelled by the other. after the protons leave the region between the plates, they are no longer accelerated during the remaining 200 feet to the patient. to set the correct high voltage, you need to calculate the magnitude of the acceleration the protons need when they are between the plates so that they are deflected by 1 degree, the angle between the incident beam and the beam hitting the patient. the speed of light is 1 foot per nanosecond.