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. As figure shows, ions are fired directly toward the center of the tumor at speeds of . 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 long, and the ends of the acceleration plates are from the target. What sideways acceleration is required to deflect an ion to one side?
The acceleration region is long
The ends of the acceleration plates are from the target.
We have the determine the sideways acceleration to deflect an ion to one side?
The sideways acceleration is:
12. A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in FIGURE EX4.12. The ball's position is shown at 1s intervals until . At , the ball's velocity is .
a. Determine the ball's velocity at , and .
b. What is the value of g on Planet Exidor?
c. What was the ball's launch angle?
A cannon on a train car fires a projectile to the right with speed , relative to the train, from a barrel elevated at angle . The cannon fires just as the train, which had been cruising to the right along a level track with speed , begins to accelerate with acceleration , which can be either positive (speeding up) or negative (slowing down). Find an expression for the angle at which the projectile should be fired so that it lands as far as possible from the cannon. You can ignore the small height of the cannon above the track.
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