You have a summer job as assistant in a University research group that is design

Question

You have a summer job as assistant in a University research group that is designing a device to sample atmospheric pollution. In the device it is useful to seperate fast moving ions from slow moving ones. To do this the ions are brought into the device in a narrow beam so that all the ions are going in the same direction. The ion beam then passes between two parallel metal plates. Each plate is 5 cm long, 4 cm wide and two plates are seperated by 3 cm. A high voltage is applied to the plates causeing the ions passing between them to have a constant acceleration directly towards one of the plates and away from the other. Before the ions enter the gap between the plates, they are going directly towards the center of the gap parallel to the surface of the plates. After the ions leave the gap between the plates, they are no longer accelerated during the 50 cm journey to the ion detector. Your boss asks you to calculate the magnitude of acceleration between the plates necessary to seperate ions with a velocity of 100 m/s from those in the beam going 1000 m/s by 2 cm?

Explanation / Answer

2. constant acceleration formulas, parabolic path: y= y0 + vy0 *t + 1/2(a)t^2 x= x0 + vx0 *t 3. Time during which ions accelerate (calculated with the equation: x=x0 + V0xt , for each ion): t1=5*10^-5 t2=5*10^-4

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