A cylinder with a cross-section area A floats with its long axis vertical in a liquid of density p. (1) Pressing down on the cylinder pushes it deeper into the liquid. Find and expression for the force needed to push the cylinder a distance x deeper into the liquid and hold it there. (2) A cylinder with a diameter of 4 cm floats in water. How much work must be done to push the cylinder 10 cm down into the water?

A cylinder with a cross-section area A floats with its long axis vertical in a liquid of density p. (1) Pressing down on the cylinder pushes it deeper into the liquid. Find and expression for the force needed to push the cylinder a distance x deeper into the liquid and hold it there. (2) A cylinder with a diameter of 4 cm floats in water. How much work must be done to push the cylinder 10 cm down into the water?

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