A pendulum bob has a speed 3m/s while passing thorugh its lowest position. What is its speed when it makes an angle of `60^0` with the vertical? The length of the pendulum is 0.5m Take `g=10 m/s^2`.

Explanation

To solve the problem, we will use the principle of conservation of mechanical energy. The total mechanical energy of the pendulum bob remains constant as it swings, assuming there are no non-conservative forces acting on it (like air resistance or friction).

### Step-by-Step Solution:

1. **Identify Initial and Final States**:
- Initial state (lowest position): Speed \( v_1 = 3 \, \text{m/s} \)
- Final state (at \( 60^\circ \) with the vertical): Speed \( v_2 \) (unknown)

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