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It is the force constant of the material in N/m. So you can substitute it into the equation F=kx (F=force, k=force constant or gradient in N/m, x = extension)

You would expect the extension to be on the y-axis normally since it is the measured value. However since you want to use the graph to calculate certain values it is on the x-axis (you can also find the work done by the force by finding the area under the graph)

Also it allows you to divide the y-axis values by the cross-sectional area and x-axis values by original length to get a stress vs strain graph where you can use the gradient to find the Young modulus of the material.

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13y ago
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12y ago

Work done by force or spring.

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Q: What quantity does the gradient of a force against extension graph represent?
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