Chapter 13: Liquids – Pressure, Buoyancy, and Fluid Principles

A hydraulic lift in an auto repair shop uses Pascal's Principle to lift cars. If a mechanic applies a force of $F_1 = 200\ \mathrm{N}$ to a piston with area $A_1 = 0.01\ \mathrm{m}^2$, what is the maximum weight $W_2$ that can be lifted by a piston with area $A_2 = 0.5\ \mathrm{m}^2$? (Neglect friction and assume the fluid is incompressible.)

A swimmer dives to a depth of $5\ \mathrm{m}$ in a freshwater lake. What is the pressure due to the water alone at this depth? (Take the density of water $\rho = 1000\ \mathrm{kg/m}^3$ and $g = 9.8\ \mathrm{m/s}^2$.)

A block of wood with density $600\ \mathrm{kg/m}^3$ floats in water ($\rho_{water} = 1000\ \mathrm{kg/m}^3$). What fraction of the block's volume is submerged?