What does elastic potential energy mean?
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 $40\,\text{cm}$.
Use data from Fig. 4.1 to demonstrate that the spring obeys Hooke’s law for this range of extensions.
Use Fig. 4.1 to find the spring constant.
Use Fig. 4.1 to find the work done in stretching the spring from $x = 20\,\text{cm}$ to $x = 40\,\text{cm}$.
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.