Complete Table 1.1 by indicating whether each quantity is a vector or a scalar. The quantities shown are acceleration, electrical resistance, and momentum.
State the conditions needed for an object to be in equilibrium.
A solid cylinder that is floating is fastened by a wire to the sea bed, as shown in Fig. 1.1. The density of the water is $1.00 \times 10^{3}\,\text{kg m}^{-3}$. The cylinder’s base lies $0.190\,\text{m}$ below the water surface. The cylinder has weight $28\,\text{N}$ and cross-sectional area $0.0230\,\text{m}^2$. Both the wire and the central axis of the cylinder are vertical. The cylinder is in equilibrium.
Calculate, to three significant figures, the upthrust on the cylinder due to the water.
Show that the tension $T$ in the wire is $15\,\text{N}$.
The wire’s cross-sectional area is $3.2\,\text{mm}^2$. Calculate the stress in the wire.
The water surface gradually rises until it reaches the level of the cylinder’s top face. State and explain, qualitatively, how the strain energy stored in the wire varies as the water surface rises.