You are asked to consult for the city's research hospital, where a group of doctors is investigating the bombardment of cancer tumors with high-energy ions. The ions are fired directly toward the center of the tumor at speeds of 4.5 . To cover the entire tumor area, the ions are deflected sideways by passing them between two charged metal plates that accelerate the ions perpendicular to the direction of their initial motion. The acceleration region is 5.0 long, and the ends of the acceleration plates are 1.5 from the patient. What acceleration is required to move an ion 2.0 to one side?
In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of 3.90 from one corner of a smooth, flat board that is tilted up at a 20 angle. To win, you must make the ball hit a small target at the adjacent corner, 2.48 away. At what angle should you tilt the ball launcher?