Final answer:
To find the change in electric potential energy between the two particles with charges +7e and -10e, calculate the initial and final electric potential energies and subtract the initial from the final.
Step-by-step explanation:
The change in electric potential energy (EPE) can be calculated using the equation ΔEPE = EPEfinal - EPEinitial. In this case, we have two particles with charges +7e and -10e that are initially very far apart and are then fixed at positions that are 4.48×10⁻¹² m apart. The electric potential energy at a given point is given by the equation EPE = k(q1*q2) / r, where k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles, and r is the distance between them.
Therefore, to find the change in electric potential energy, we first need to calculate the initial and final electric potential energies using the given charges and distance. Then, we can subtract the initial EPE from the final EPE to get the change in EPE.