What Acceleration Is Needed for Ion Deflection in Cancer Treatment?

AI Thread Summary
The discussion revolves around the acceleration needed for ion deflection in cancer treatment, specifically focusing on high-energy ions aimed at tumors. The ions travel at a speed of 4.5 m/s and require deflection to cover the tumor area, necessitating a sideways movement of 2.0 m. The acceleration region is 5.0 m long, with the ends of the plates positioned 1.5 m from the patient. Participants are encouraged to share their calculations and approaches to solving the problem to facilitate assistance. The conversation emphasizes collaborative problem-solving in the context of medical physics applications.
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Homework Statement




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?
 
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I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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