Newer automobiles have filters that remove fine particles from exhaust gases. Th

Question

Newer automobiles have filters that remove fine particles from exhaust gases. This is done by charging the particles and separating them with a strong electric field. Consider a positively charged particle +3.1 that enters an electric field with strength 4 x 106 NC. The particle is traveling at 11 m/s and has a mass of 10-9 g. What is the acceleration of the particle? (Enter the magnitude only.) m/s2 What is the direction of the acceleration of the particle relative to the electric field? It is in the same direction as the electric field. It is 90° to the left of the electric field. It is 90° to the right of the electric field It is in the opposite direction of the electric field.

Explanation / Answer

Here ,

let the acceleration of the particle is a

as force on the particle = m * a

q * E = m * a

3.1 *10^-6 * 4 *10^6 = 1 *10^-12 * a

a = 1.24 *10^13 m/s^2

the acceleration of the particle is 1.24 *10^13 m/s^2

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Now , as the charge is positive

the direction of acceleration is same as the electric field

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