Hooke’s Law (AQA A-Level Further Maths): Quizzes

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Hooke's Law
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What is the natural length of an elastic string?

Length when no forces act on it

Which formula correctly expresses Hooke's law using modulus of elasticity λ\lambda?

T=λlxT = \frac{\lambda}{l}x

A string with natural length 3 m is stretched to 3.5 m. What is the extension xx?

0.5 m

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

Newtons (N)

What is the formula for elastic potential energy stored in a stretched string?

EPE=λ2lx2\text{EPE} = \frac{\lambda}{2l}x^2

A string has natural length 4 m and λ=20\lambda = 20 N. What is its stiffness kk?

5 N m1^{-1}

What assumption is made about elastic strings and springs in mechanics problems?

They have negligible mass (light)

For two strings in equilibrium attached to an object, what must be true?

The tensions in both strings are equal

A string has l=2l = 2 m, λ=8\lambda = 8 N, extension 0.5 m. Calculate the EPE stored.

0.5 J

In energy conservation for elastic strings, gain in KE + gain in GPE equals what?

Loss in EPE

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