A doubly ionized helium nucleus (

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

+2e

, mass

6.6\times10^{-27}\,\text{kg}

) is accelerated from rest through two successive gaps in a linear accelerator. The total potential difference across the two gaps is

4.0\,\text{kV}

. The gaps are designed so that each provides the same increase in the nucleus’s speed. Find the potential difference across the first gap.