You should have found that the total energy in (FNT 2, part b) is equal to -0.8ε.
a) If these two particles are a closed system, what do you know about the total energy as their separation changes?
b) In general, what is the minimum value of KE that a system of particles can have?
c) Use your response to the two previous parts of this question and the fact that the total energy is equal to -0.8ε to determine the two values of r where KE is minimum.
d) Explain how your responses to all of the above determine the range of possible values of the separation of the two particles for this total energy.