Please help: How far will the particle travel, Δx, before it hits the metal plate?
A particle with mass 3.70 g and charge +10.0 μC enters through a small hole in a metal plate with a speed of 9.00 m/s at an angle of 55° . The uniform vector E field in the region above the plate has magnitude 5.50e3 N/C and is directed downward. The region above the metal plate is essentially a vacuum, so there is no air resistance.
How far will the particle travel, Δx, before it hits the metal plate?
Each time I try to solve for the answer I get some big number that obviously isn't it. I would really appreciate the help. If it's possible could you also let me know how you got to your answer?
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Assuming 55° with bottom plate:
E = 5.5 * 10 ^ 3 N/c
g = 9.8 m/s^2
q = 10 * 10 ^ -6 C
m = 3.7 / 1000 kg
a = Eq / m + F / m
a = (E * q / m) + g
Both acceleration vectors point downward "-j"
t = 2 * v * Sin(55) / a
Δx = v * Cos(55) * t
Δx = 3.08597280790638 m
Δx = 3.1 m