Hookes Law Practice Problems and Facts

Spring

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A spring is an object that can be deformed by a force and then return to its original shape after the force is removed.

Property of Spring

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The 'springiness', or more correctly, the elasticity is a fundamental property of the wire that the spring is made from. A long straight metal wire also has the ability to 'spring back' following a stretching or twisting action. Winding the wire into a spring just allows us to exploit the properties of a long piece of wire in a small space.

Force Acting on Spring

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When a force is placed on a material, the material stretches or compresses in response to the force.

strain (symbol ϵ)

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The extent of the stretching/compression produced as the material responds to stress

Strain measured

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the ratio of the difference in length ΔL L0 to original length,

When does strain occur?

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strain is experienced when a small stress is applied depends on the tightness of the chemical bonds within the material

Hookes Law

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F=KX Force = Spring constant(N/m) X Extension

A 75 kg person stands on a compression spring with spring constant 5000 N/m and nominal length 0.25 m. What is the total length of the loaded spring?

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(a)12mm (b)K=Force/Extension K=8N/12mm K=0.66 N/mm (c)e=Force/K e=6N/0.66N/mm e=9mm (d)29mm

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The diagram below shows how a steel spring stretches when weight is hung from it. (a) What is the extension of the spring? (b)Calculate the spring constant of this spring? (c)What would the extension be if there was a 6N load? (d)Calculate the total length .