A cylinder with cross-section area A floats with its long axis vertical in a liquid of density ρ.
a. Pressing down on the cylinder pushes it deeper into the liquid.
Find an expression for the force needed to push the cylinder distance x deeper into the liquid and hold it there.
b. A 4.0-cm-diameter cylinder floats in water. How much work must be done to push the cylinder 10 cm deeper into the water?