An electron is accelerated inside a parallel plate capacitor. the electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity β. the distance between the plates is 11.4 cm, and the voltage difference is 115 kv. determine the final velocity β of the electron using classical mechanics. (the rest mass of the electron is 9.11×10-31 kg, the rest energy of the electron is 511 kev.)

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants