Halliday, Resnick & Walker — The Kinetic Theory of Gases: Problem 90

Champagne cork flight. When a champagne bottle is opened, the cork shoots vertically upward from the bottle into the air due to the pressure difference between the 7.5 atm of the carbon dioxide gas beneath it and the atmospheric air pressure. The cork has mass \(m = 9.1 \text{ g}\) and cross-sectional area \(A = 2.5 \text{ cm}^2\), and the cork’s acceleration (assumed constant) lasts for time interval \(\Delta t = 1.2 \text{ ms}\). Neglecting air resistance during the flight and assuming the release is outdoors (no ceiling), how high will the cork fly?