How does the force applied to a spring affect its extension?

For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles. When an elastic object is stretched beyond its limit of proportionality, the object does not return to its original length when the force is removed.

What does Hooke’s law say about the relationship of a spring to the force applied to it?

Hooke’s Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance is proportional to that distance. Understood in terms of Hooke’s Law, this restoring force is generally proportional to the amount of “stretch” experienced.

What is Hooke’s law is it applicable for any elastic substance?

Hooke’s law states that within the elastic limit, stress developed is directly proportional to the strain produced in a body. According to Hooke’s law, if strain increases the stress will increase and vice-versa. The Hooke’s law is applicable to all elastic substances. It does not apply to plastic deformation.

How does force affect extension?

extension of an elastic object is directly proportional to the force applied to it. In other words: • If the force applied is doubled, the extension doubles • If no force is applied, there is no extension The graph of force against extension is a straight line through the origin, which shows a linear relationship.

Does Hooke’s law apply to stretch springs compressed springs or both?

Hooke’s law is applicable not only to coil springs like the one shown here, but also to the bending of metal and some other materials, the stretching of wires like guitar strings, the stretching of rubber bands, and the stretching and compressing of chemical bonds.

Does Hooke’s law apply to springs?

An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean. Hooke’s law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces.

Do all elastic materials obey Hooke’s Law?

All elastic materials do not follow Hooke’s law. Hence first statement is rendered invalid. Since Hooke’s law is based on elasticity of a material, it would be apt to say that materials which follow Hooke’s law are elastic in nature only until their elastic limit.

What is the limitations of Hooke’s Law?

A limitation to Hooke’s Law is that is it only applicable under the elastic limit of any material, which means that a material should be perfectly elastic to obey Hooke’s Law. Beyond the elastic limit the Hooke’s law essentially breaks down.

What is the law of elasticity?

Hooke’s law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load.

What is a force extension graph?

Term. Explanation. Force-extension or force-elongation graph A force-extension (or force-elongation) graph is used to describe the properties of a material when in tension. It is the result of tensile testing. Extensometer An extensometer is a device that is used to measure changes in the length of an object.

What is force extension?

Force-extension or force-elongation graph A force-extension (or force-elongation) graph is used to describe the properties of a material when in tension. It is the result of tensile testing. Extensometer An extensometer is a device that is used to measure changes in the length of an object.

What is Hooke’s law of elasticity?

Hooke’s law When studying springs and elasticity, the 17ᵗʰ century physicist Robert Hooke noticed that the stress vs strain curve for many materials has a linear region. Within certain limits, the force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring.

What is Hooke’s law of extension?

From the straight line graph OA, we deduced that the extension is proportional to the load or tension in the wire when the elastic limit is not exceeded. This is known as Hooke’s Law , after ROBERT HOOKE, founder of the Royal Society, who discovered the relation in 1676.

Can Hooke’s law be applied to Springs?

In such a case, Hooke’s law can still be applied. As with any other set of forces, the forces of many springs can be combined into one resultant force. When Hooke’s law holds, the behavior is linear; if shown on a graph, the line depicting force as a function of displacement should show a direct variation.

How do you write Hooke’s law in physics?

1 Mathematically, Hooke’s Law can be written as F=-kx. 2 Many materials obey this law as long as the load does not exceed the material’s elastic limit. 3 The rate or spring constant, k, relates the force to the extension in SI units: N/m or kg/s2.