Elastic Strings & Springs (Edexcel A-Level Further Mathematics): Quizzes

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Hooke's Law
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What does Hooke's law state about tension in an elastic spring?

T=λxlT = \frac{\lambda x}{l}

What does a larger modulus of elasticity λ\lambda indicate about a spring?

The spring is less stretchy

What is the natural length of a spring?

Length when unstretched & not under tension

How is the extension xx of a spring calculated?

x=stretched lengthnatural lengthx = \text{stretched length} - \text{natural length}

What are the units of the modulus of elasticity λ\lambda?

Newtons (N\text{N})

Within what condition does Hooke's law apply?

Within the elastic limit

A spring stretches from 0.5 m0.5\text{ m} to 0.7 m0.7\text{ m}. What is the extension?

0.2 m0.2\text{ m}

Find tension if λ=100 N\lambda = 100\text{ N}, x=0.2 mx = 0.2\text{ m}, l=0.5 ml = 0.5\text{ m}.

40 N40\text{ N}

What happens to a spring within the elastic limit when tension is removed?

It returns to its original length

What quantity does TT represent in Hooke's law?

Tension in newtons (N\text{N})

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