State the name of the law that links the force and extension of the spring shown in Fig. 3.1.
Determine the spring constant of the spring, in $\text{N m}^{-1}$.
Determine the strain energy (elastic potential energy) stored in the spring when the extension is $4.0\,\text{cm}$.
Show that the cylinder experiences an upthrust of $0.60\,\text{N}$.
Calculate the pressure difference between the bottom face and the top face of the cylinder.
Calculate the density of the liquid.
The liquid in (c) is replaced by another liquid of greater density. State the effect, if any, of this change on the upthrust acting on the cylinder.
The liquid in (c) is replaced by another liquid of greater density. State the effect, if any, of this change on the extension of the spring.