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 cm. 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 step by step, we will follow these calculations:

### Step 1: Identify the given values
- Weight of the block (W) = 10 N
- Cross-sectional area of the wire (A) = 3 mm² = \(3 \times 10^{-6} \, \text{m}^2\)
- Radius of the circle (r) = 20 cm = 0.20 m
- Speed of the block at the bottom (v) = 2 m/s
- Young's modulus (E) = \(2 \times 10^{11} \, \text{N/m}^2\)
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