(a) What is the electric potential energy of two electrons separated by 3.00 nm? (b) If the separation increases, does the potential energy increase or decrease ?

Explanation

To solve the problem step by step, we will calculate the electric potential energy of two electrons separated by a distance of 3.00 nm and then analyze how the potential energy changes with increasing separation.

### Step-by-Step Solution:

**Part (a): Calculate the Electric Potential Energy**

1. **Identify the Formula**: The electric potential energy (U) between two point charges is given by the formula:
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