Problem 4.60 Part A You are asked to consult for the city\'s research hospital w

Question

Problem 4.60 Part A You are asked to consult for the city's research hospital where a group of doctors is investigating the bombardment of cancer turnors with high-energy lons The ions are fired directly toward the center of the turnor at speeds of 45 × 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 lons perpendicular to the direction of their intial motion The acceleration region is 5 0 cin long, and the ends of the acceleration plates are 1.5 m rom the patient. (Eigure) 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. Subenit My Answers Give Up Incorrect; Try Again; 14 attempts remaining Pro Target Acceleration plates 1.5 m

Explanation / Answer

Here The time(t) for which the particle undergoes the acceleration is X=vt, t=X/V
t=.05/(4.5*10^6)=1.111*10^-8 seconds which is the time the particle undergoes acceleration
Now, because the acceleration is perpendicular to the original velocity, the speed in the y-axis will remain unchanged, so the time the particle will take to get to the body is
1.5/(4.5*10^6)=3.33*10^-7 seconds
Now, we find the necessary velocity of the particle in the x-direction.
.02=Vt
.02=v*3.33*10^-7
v=60060.06m/s=6.006*10^4m/s
Now for the last part,
V=at
60060.06=a*1.111*10^-8
a=5.406*10^12m/s^2

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.