A particle (mass = 5.0 g, charge = 40mC) moves in a region of space where the el

Question

A particle (mass = 5.0 g, charge = 40mC) moves in a region of space where the electric field is uniformand is given by Ex = 2.5 N/C,Ey = Ez = 0. If thevelocity of the particle at t = 0 is given byvy = 50 m/s, vx =vz = 0, what is the speed of the particle att = 2.0 s?
81m/s
72m/s
64m/s
89m/s
25m/s A particle (mass = 5.0 g, charge = 40mC) moves in a region of space where the electric field is uniformand is given by Ex = 2.5 N/C,Ey = Ez = 0. If thevelocity of the particle at t = 0 is given byvy = 50 m/s, vx =vz = 0, what is the speed of the particle att = 2.0 s? 81m/s 72m/s 64m/s 89m/s 25m/s

Explanation / Answer

the speed of the particle at t = 2.0 s is v = u + at ---------(1) the electric field is E = (F/q) = (m * a/q) or a = (q/m) * E ---------(2) from (1) and (2) v = u + (q/m) * E * t u = 50 m/s,q = 40 mC = 40 * 10^-3 C,m = 5.0 g = 5.0 * 10^-3 kgand E = 2.5 N/C

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