a) Two horizontal plates, aligned 1 cm apart, one above the other, are given equal but opposite charges so that a uniform, upward electric field of 2kN/C exists in the space between them. A particle with a mass of 2e-16 kg and a charge of 1 microC leaves the bottom plate at 0.1 Mm/s at an angle of 30 degrees relative to the horizontal. What horizontal displacement does the particle experience before landing?
b) The charged particle in the previous problem is released from rest at the surface of a sphere with considerable mass, a radius of 1 cm, and a charge of 20 microC. What is the speed of the particle after it has been displaced by 3 cm? Assume that the sphere does not move and that the radius of the particle is negligible.
c) The charged particle in the previous two problems is not released from rest 3 cm from the surface of a very long wire with a linear charge density of -25 microC/m. What is the particle's speed after it has been displaced by 1.5 cm?
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