I need help with part A and part B! (7%) Problem 4: A particle with charge q +2e

Question

I need help with part A and part B!

(7%) Problem 4: A particle with charge q +2e and mass m x10 26 kg is injected with horizontal velocity 1.3x106 m/s into the region between two parallel horizontal plates. The plates are 24 cm long and 0.65 cm apart. The particle is injected midway between the top and bottom plates. The top plate is negatively charged and the bottom plate is positively charged, so that there is an electric field upward between the plates, of magnitude E 31 kNIC. Ignore the weight of the particle. Otheexpertta.com F 50% Part a How long, in seconds, does it take for the particle to pass through the plates? Assume it starts at the edge of the plates A 50% Part (b What is the vertical displacement, in millimeters, of the particle as it leaves the right edge of the region between the plates? Grade Summary Deductions Potential 100% sino cos0 tan0 7 8 9 Submissions HOME Attempts remaining: 3 5 6 acos0 cotano asino 4% per attempt) detailed view atan0 acotano sinh0 1 2 3 cosh0 tanh0 cotanh Degrees O Radians Submit Hint I give up Hints 4 deduction per hint. Hints remaining Feedback 5% deduction per feedback.

Explanation / Answer

part A)

time taken for the particle to pass = L/v

time taken for the particle to pass = 0.24/(1.3 *10^6)

time taken for the particle to pass = 1.85 * 10^-7 s

part B)

let the acceleration of the particle is a

m * a = e * E

6.2 *10^-26 * a = 2 * 1.602 *10^-19 * 31 *10^3

solving for a

a = 1.602 *10^11 m/s^2

vertical displacement = 0.5 * a * t^2

vertical displacement = 0.5 * 1.602 *10^11 * (1.85 * 10^-7)^2

vertical displacement = 0.00274 m = 2.74 mm

the verticular displacement is 2.74 mm

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