To determine the extension produced by a force (like a 10N force) applied to a material, you typically need to know two key things: the material's properties (specifically its stiffness or Young's modulus) and the dimensions of the material (such as its original length and cross-sectional area).
The extension \( \Delta L \) can be calculated using Hooke’s Law, which states that the force applied to an elastic material is proportional to the extension of that material, up to a limit. The formula is given by:
\[ \Delta L = \frac{F \cdot L_0}{A \cdot E} \]
Where:
- \( \Delta L \) = extension (change in length)
- \( F \) = force applied (10N in your case)
- \( L_0 \) = original length of the material
- \( A \) = cross-sectional area of the material
- \( E \) = Young's modulus of the material (a measure of stiffness)
Without knowing \( L_0 \), \( A \), and \( E \), you cannot calculate the exact extension produced by the 10N force. If you can provide these values, I can help you calculate the extension.
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