[] Consider an imaginary world in which space is two-dimensional (2D), but the law hysics are otherwise the same (velocity space is also 2D). Derive the speed distribution or an ideal gas of nonrelativistic particles in this 2D world, and sketch this distribution. Comment of the differences and similarities between the 2D and 3D cases. What is the most likely velocity vector? What is the most likely speed ?

[] Consider an imaginary world in which space is two-dimensional (2D), but the law hysics are otherwise the same (velocity space is also 2D). Derive the speed distribution or an ideal gas of nonrelativistic particles in this 2D world, and sketch this distribution. Comment of the differences and similarities between the 2D and 3D cases. What is the most likely velocity vector? What is the most likely speed ?