Answer:
Approximately 0.979 J.
Explanation:
Assume that the two charges are in vacuum. Apply the coulomb's law to find their initial and final electrical potential energy .
,
where
- The coulomb's constant
,
and
are the sizes of the two charges, and
is the separation of (the center of) the two charges.
Note that there's no negative sign before the fraction.
Make sure that all values are in SI units:
;
;
- Initial separation:
;
- Final separation:
.
Apply Coulomb's law:
Initial potential energy:
.
Final potential energy:
.
The final potential energy is less negative than the initial one. In other words, the two particles gain energy in this process. The energy difference (final minus initial) will be equal to the work required to move them at a constant speed.
.