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Graph Showing Hooke's Law. Extension Is Plotted Against Force

Hooke's law states that the extension of an elastic object is directly proportional to the applied force. This relationship is represented by the equation F=k×e, where F is the force, k is the spring constant, and e is the extension. The spring constant k is measured by recording the extension of an unloaded spring when adding different masses and calculating the gradient of a force-extension graph. As long as the elastic limit is not exceeded, Hooke's law holds and the graph will be a straight line passing through the origin, with the spring constant given by the gradient.

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62 views1 page

Graph Showing Hooke's Law. Extension Is Plotted Against Force

Hooke's law states that the extension of an elastic object is directly proportional to the applied force. This relationship is represented by the equation F=k×e, where F is the force, k is the spring constant, and e is the extension. The spring constant k is measured by recording the extension of an unloaded spring when adding different masses and calculating the gradient of a force-extension graph. As long as the elastic limit is not exceeded, Hooke's law holds and the graph will be a straight line passing through the origin, with the spring constant given by the gradient.

Uploaded by

Sid Artemis Frias
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Hooke's Law

When an elastic object - such as a spring - is stretched, the increased length is called its
extension. The extension of an elastic object is directly proportional to the force applied to it:
F=ke
F is the force in newtons, N
k is the 'spring constant' in newtons per metre, N/m
e is the extension in metres, m
This equation works as long as the elastic limit (the limit of proportionality) is not exceeded. If a
spring is stretched too much, for example, it will not return to its original length when the load
is removed.
The spring constant
The spring constant k is different for different objects and materials. It is found by carrying out
an experiment. For example, the unloaded length of a spring is measured. Different numbers
of slotted masses are added to the spring and its new length measured each time. The
extension is the new length minus the unloaded length.

Graph showing Hooke's Law. Extension is plotted against force.


Assuming the limit of proportionality (elastic limit) is not exceeded, a graph of force against
extension produces a straight line that passes through the origin. The gradient of the line is the
spring constant, k. The greater the value of k, the stiffer the spring.

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