IB Physics Experiments on the Spring and Weight of the Air

A tutorial sheet on springs and the gas laws. This experiment on which this tutorial sheet is based was indicated by Robert Boyle in 1660.

A 2.0 kg piston that is free to move rests 1.8 m above the bottom of a cylinder containing one mole of helium gas at 300 K. The piston is raised 20.0 cm and released. Assume that the temperature remains constant as the piston moves.

  1. Find the net force acting on the piston as a function of its displacement from the equilibrium position.
  2. Show that the movement of the piston is simple harmonic motion.
  3. Find the frequency of oscillation of the piston.
  4. Find the spring constant of the gas.