Problem 4.60 You are asked to consult for the city\'s research hospital, where a

Question

Problem 4.60 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 Part A ons. The ions are fired directly toward the center of the tumor at speeds of 5.8 x 10° 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 initia 5.0 cm long, and the ends of the acceleration plates are 1.5 m from the patient. (Figure 1) 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 l motion. The acceleration region is aValue Units Submit Request Answer Provide Feedback Figure 1 of 1 Target Acceleration plates 1.5 m

Explanation / Answer

horizontal acceleration is always is zero ax = 0

ion defltectd height h1 = 1/2*ay*t1^2

t1 = d/vx

h1 = 1/2*ay*d^2/vx^2

after emerging from the plates ion travels with a constant speed so h2 = vy*t2

t2 = l/vx

vy = ay*t1

h2 = ay*d*l/vx^2

h = h1+h2 = (ay*d^2/2vx^2)+(ay*d*l/vx^2)

ay = 2h*vx^2/(d^2+2dl)

ay = 2*0.02**(5.8*10^6)^2/(0.05^2+2*0.05*1.5)

ay = 1.345*10^12/0.1525 = 8.82*10^12 m/s^2

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