A doubly ionized neon ion (charge

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

+2e

, mass

3.3\times10^{-26}\,\text{kg}

) is projected through a region of uniform electric field that produces an electric potential drop of

1500\,\text{V}

over a displacement of

0.020\,\text{m}

in the direction of the ion’s motion. While traversing this region the ion also experiences a constant resistive force of magnitude

2.5\times10^{-18}\,\text{N}

opposite its motion. The ion’s initial speed at the entry point is

5.0\times10^{4}\,\text{m}\!\cdot\!\text{s}^{-1}

. (a) Determine the work done on the ion by the resistive force while it travels the

0.020\,\text{m}

through the field region. (b) Calculate the ion’s speed as it exits the field region, taking into account both the electric and resistive forces.