4) The motion of a singly ionized negatively charged ion moving parallel to the

Question

4) The motion of a singly ionized negatively charged ion moving parallel to the x axis is tracked. At x=5 cm the particle has 1 .28 x 10^-16 J of kinetic energy at x=8 cm the kinetic energy is 1.0 x 10^-16 J at x=1 1 cm, 8.8 x 10^-17 J and at x=14 cm, 8.4 x 10^-17 J. a) Is there an electric field present? If so, in which direction does the field?s x component point? Explain your reasoning. b) Is the field uniform? How can you tell? c) Since E = -dV/dx ? in this case, V(x) is only defined to within a constant: multiple sets of V?s can represent the same field and only the delta V values are unique. Devise two sets (four measurements each) of electrical potential values at the given x values that are consistent with the data given.

Explanation / Answer

a:-
Yes, there is presence of electric field and it is in the direction in which kinetic energy is decreasing i.e in positive X-direction.

b:-
No, it is not uniform as the kinetic energy is reducing at non-uniform rate.
(Since K.E= qE*distance)

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