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The problem is in Persian, and here’s the translation and interpretation of the question:

**Problem Translation:**
Two non-identical charges, \( q_1 \) and \( q_2 \), are initially at an infinite distance from each other. Assume that \( q_1 \) is stationary. We release \( q_2 \), with a mass \( m_2 \), and we want to find the speed of \( q_2 \) when it reaches a distance of 2 units from \( q_1 \).

**Interpretation:**
This is an electrostatics and energy conservation problem. Here are the steps to solve it:

1. **Given Data:**
   - Two charges \( q_1 \) and \( q_2 \), initially at an infinite distance from each other.
   - Mass of \( q_2 \) is \( m_2 \).
   - We need to find the speed \( v \) of \( q_2 \) at a distance \( r = 2 \) units from \( q_1 \).

2. **Approach:**
   Since we are dealing with electrostatic forces and conservation of energy:
   - **Electrostatic Potential Energy** at an infinite distance is zero (since they are infinitely far apart).
   - **Electrostatic Potential Energy** at distance \( r = 2 \): \[ U = \frac{k \cdot q_1 \cdot q_2}{r} \]
   - **Kinetic Energy** of \( q_2 \) at \( r = 2 \): \[ K = \frac{1}{2} m_2 v^2 \]

3. **Energy Conservation Equation:**
   Since the total initial energy is zero (potential energy at infinity is zero and no initial kinetic energy), we equate the potential energy at \( r = 2 \) to the kinetic energy of \( q_2 \):
   \[
   \frac{k \cdot q_1 \cdot q_2}{2} = \frac{1}{2} m_2 v^2
   \]

4. **Solve for \( v \):**
   Rearranging the equation to solve for \( v \):
   \[
   v = \sqrt{\frac{k \cdot q_1 \cdot q_2}{m_2}}
   \]

Please provide the values of \( q_1 \), \( q_2 \), and \( m_2 \) if given, or let me know if any additional details are needed for further assistance.

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Would you like a more detailed explanation of the solution steps? 

Here are 5 related questions to deepen your understanding:
1. How would the result change if \( q_1 \) were also moving?
2. What happens to \( v \) if the distance changes to a different value, say \( r = 3 \)?
3. How does changing the sign of \( q_1 \) or \( q_2 \) affect the motion?
4. How would we solve this if we included gravitational forces between the particles?
5. How would the system behave if the charges were equal (i.e., \( q_1 = q_2 \))?

**Tip:** In electrostatic problems involving point charges, conservation of energy is often more straightforward than applying force equations, especially when calculating changes in kinetic energy over a distance.

دو بار غیر همنام q1 و q2 در فاصله بی نهایت از هم ساکن هستند. q1 را ساکن نگه داشته q2 را رها می کنیم. جرم q2 را m2 در نظر بگیرید. سرعت q2 در فاصله ۲ از q1 را محاسبه کنید.

Learn how to find the speed of a charge q2 with mass m2 released from infinity towards another stationary charge q1. Using electrostatics and energy conservation principles, this problem calculates the velocity of q2 at a distance of 2 units from q1. Ideal for high school students studying electrostatics.

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