You are asked to consult for the city\'s research hospital where a group of doct

Question

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 5.8 x 106 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. (Figure 1) Part A What sideways acceleration is required to deflect an ion 2.0 cm to one side? Express your answer to two significant figures and include the appropriate units ay7. 101 Submit Incorrect. Try Again: 4 attempts remaining Figure 1 of 1> Provide Feedback Target Acceleration plates Ion 5.0 cm 1.5 m

Explanation / Answer

consider the motion paralle to the plates :

v = speed = 5.8 x 106 m/s

d = width of the plates = 5 cm = 0.05 m

t = time taken to travel through the plates

using the equation

t = d/v = 0.05/(5.8 x 106) = 8.6 x 10-9 sec

consider the motion perpendicular to plates:

Y = deflection = 2 cm = 0.02 m

t = 8.6 x 10-9 sec

Vi = initial velocity in the direction of deflection = 0

a = acceleration

using the equation

Y = vi t + (0.5) a t2

0.02 = 0 (8.6 x 10-9) + (0.5) a (8.6 x 10-9)2

a = 5.4 x 1014 m/s2

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