(c) Calculate the final electric potential and final potential energy of the ele

Question

(c) Calculate the final electric potential and final potential energy of the electron.
(d) Calculate the final kinetic energy of the electron.
Y axis 91 Xf Xi q2 X axis 10.0 cm 44.0 cm Based on a Mastering Physics HW Problem Two stationary positive charges, q1 = 4.00 nC and q,-1.60 nC, are separated by a distance of 44.0 cm. An electron is "initially" released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. The electron moves past a "final" position which is 10.0 cm from charge 1. On the diagram above, the two open circles are the initial and final locations of the test charge electron. Sketch and label the "motion diagram" of the test charge electron from its initial position to its final position. (Show two or three displacements.) (a) (b) Calculate the initial electric potential and initial electric potential energy of the electron.

Explanation / Answer

a) Final potential = k (4 x 10^-9/0.1 + 1.60 x 10^-9 / 0.34) = 402.353 V

Final Potential energy = 1.6 x 10^-19 (402.353 ) -= 643.765 10^-19 J

b)Final KE = initial PE - Final PE

Initial PE = K x 1.6 x 10^-19 ( 4x 10^-9 /0.22 + 1.6 x 10^-9 /0.22) =366.545 x 10^-19 J

Final KE = 277.22 x 10^-19 J

c)final speed= sqroot (2x 277.22 x 10^-19/ 9.109 x 10^-31) = sqroot (60.867 x 10^12) =7.8 x 10^ 6 m/s

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