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Motion in two dimensions

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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 6.00E6 m/s. 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 cm long, and the ends of the acceleration plates are 1.5 m from the patient.
What acceleration is required to move an ion 2.0 cm across the tumor?

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The solution shows how to couple teh equations of motion in teh horizontal and vertical directions to find the acceleration.

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