A rectangular metallic bar one metre long, one cm deep and one cm broad is placed on a smooth table. The Young's modulus and modulus of rigidity of metal of the bar are `2 xx 10^(11) N//m^(2)` and `8 xx 10^(10) N //m^(2)` respectively.
If the bar is rigidity clamped at one end is pulled at the other end with a force 5000 N applied normaly to its end cross-section, calculate the elongation of the bar and the work done in elongating the bar.

Explanation

To solve the problem of elongation of the metallic bar and the work done in elongating it, we will follow these steps:

### Step 1: Identify the given data
- Length of the bar, \( L_0 = 1 \, \text{m} = 100 \, \text{cm} \)
- Depth of the bar, \( d = 1 \, \text{cm} = 0.01 \, \text{m} \)
- Breadth of the bar, \( b = 1 \, \text{cm} = 0.01 \, \text{m} \)
- Force applied, \( F = 5000 \, \text{N} \)
- Young's modulus, \( Y = 2 \times 10^{11} \, \text{N/m}^2 \)
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