Physics 9702 · AS & A Level · Elastic and plastic behaviour

Elastic and plastic behaviour — practice question

(a)[1]

What does elastic potential energy mean?

(b)

A spring is stretched by applying a force. Fig. 4.1 shows how the force $F$ varies with extension $x$ for values of $x$ from $20\,\text{cm}$ to $40\,\text{cm}$.

(b(i))[2]

Use data from Fig. 4.1 to demonstrate that the spring obeys Hooke’s law for this range of extensions.

(b(ii).1)[2]

Use Fig. 4.1 to find the spring constant.

(b(ii).2)[3]

Use Fig. 4.1 to find the work done in stretching the spring from $x = 20\,\text{cm}$ to $x = 40\,\text{cm}$.

(c)[1]

In (b), a force is applied to the spring to produce an extension of $50\,\text{cm}$. State how you would check that the spring has not exceeded its elastic limit.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Energy stored in a body because of extension, compression or deformation

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