Hooke's Law — Prelims Questions

A spring has a spring constant of $200\,\text{N/m}$. If it is stretched by $10\,\text{cm}$ from its equilibrium position, what is the magnitude of the restoring force exerted by the spring?

A wire of length $L$ and cross-sectional area $A$ is subjected to a tensile force $F$. If Young's Modulus of the material is $Y$, what is the elongation (change in length) of the wire?

Two springs, one with spring constant $k_1$ and the other with $k_2$, are connected in series. What is the equivalent spring constant ($k_{eq}$) of the combination?

A spring is stretched by $x$ and stores potential energy $U$. If it is stretched by $2x$, how much potential energy will it store?

Which of the following statements is TRUE regarding the elastic limit of a material?

A metal wire of length $2\,\text{m}$ and diameter $0.4\,\text{mm}$ is subjected to a tensile force of $50\,\text{N}$. If Young's Modulus for the metal is $2 \times 10^{11}\,\text{N/m}^2$, what is the elongation of the wire? (Use $\pi = 3.14$)

The stress-strain curve for a material is shown. Up to which point does Hooke's Law strictly hold?