A block of weight 10 N is fastened to one end of a wire of cross sectional area `3 mm^2` and is rotated in a vertical circle of radius 20 cmk. The speed of the block at the bottom of the circle is `2ms^-1`. Find the elongation of the wire when the block is at the bottom of the circle. Young modulus of the material of the wire `=2xx10^11Nm^-2`.

Explanation

To solve the problem of finding the elongation of a wire when a block is rotated in a vertical circle, we will follow these steps:

### Step 1: Identify the Given Data
- Weight of the block (W) = 10 N
- Cross-sectional area of the wire (A) = 3 mm² = 3 × 10⁻⁶ m² (conversion to square meters)
- Radius of the circle (L) = 20 cm = 0.2 m (conversion to meters)
- Speed of the block at the bottom (v) = 2 m/s
- Young's modulus of the wire (Y) = 2 × 10¹¹ N/m²
...