Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 24 - Electric Potential - Problems - Page 714: 58b

Answer

The proton can escape out of the region. By conservation of energy, the proton's kinetic energy when it escapes is $2.00~eV$

Work Step by Step

We can find the total energy at $x = 3.5~cm$: $E = K+U$ $E = K+q~V$ $E = (4.00~eV)+(1e)(3.00~V)$ $E = 7.00~eV$ By conservation of energy, the proton can reach a location where the electric potential is $7.00~V$ Since the electric potential at $x = 6.0~cm$ is only $5.00~V$, the proton can escape out of the region. By conservation of energy, the proton's kinetic energy when it escapes is $2.00~eV$.
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