Hookes Law Practice Problems and Facts

Spring

Answer explanation

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

Answer explanation

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

Answer explanation

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

strain (symbol ϵ)

Answer explanation

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

Strain measured

Answer explanation

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

When does strain occur?

Answer explanation

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

Hookes Law

Answer explanation

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?

Answer explanation

Answer explanation

(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

Answer explanation

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 .