A particle of mass 100 gm and charge `2muC` is released from a distance of 50 cm from a fixed charge of `5muC`. Find the speed of the particle when its distance from the fixed charge becomes 3 m.

Explanation

To solve the problem, we will use the principle of conservation of energy. The total mechanical energy of the system (potential energy + kinetic energy) remains constant if no external work is done on the system.

### Step 1: Identify the initial and final states
- **Initial state (Position 1)**:
- Distance from the fixed charge \( R_1 = 0.5 \, \text{m} \) (50 cm)
- Kinetic energy \( KE_1 = 0 \) (the particle is at rest)
- Potential energy \( PE_1 = \frac{k \cdot Q_1 \cdot Q_2}{R_1} \)

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